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- .gitattributes +0 -156
- README.md +0 -91
- adulyasak2015/feasibility_check.py +0 -683
- adulyasak2015/gurobi_code.py +0 -366
- adulyasak2015/gurobi_feasi_result/large_feasi_result_1.json +0 -6
- adulyasak2015/gurobi_feasi_result/large_feasi_result_2.json +0 -6
- adulyasak2015/gurobi_feasi_result/large_feasi_result_3.json +0 -6
- adulyasak2015/gurobi_feasi_result/large_feasi_result_4.json +0 -6
- adulyasak2015/gurobi_feasi_result/large_feasi_result_5.json +0 -6
- adulyasak2015/gurobi_feasi_result/tiny_feasi_result.json +0 -6
- adulyasak2015/gurobi_solution/large_solution_1.json +0 -45
- adulyasak2015/gurobi_solution/large_solution_2.json +0 -15
- adulyasak2015/gurobi_solution/large_solution_3.json +0 -15
- adulyasak2015/gurobi_solution/large_solution_4.json +0 -15
- adulyasak2015/gurobi_solution/large_solution_5.json +0 -15
- adulyasak2015/gurobi_solution/tiny_solution.json +0 -44
- adulyasak2015/gurobi_solution_log/tiny_log.jsonl +0 -4
- adulyasak2015/instance/large_instance_1.json +0 -0
- adulyasak2015/instance/large_instance_2.json +0 -0
- adulyasak2015/instance/large_instance_3.json +0 -0
- adulyasak2015/instance/large_instance_4.json +0 -0
- adulyasak2015/instance/large_instance_5.json +0 -0
- adulyasak2015/instance/tiny_instance.json +0 -2954
- adulyasak2015/instance_schema.json +0 -21
- adulyasak2015/mathematical_formulation.md +0 -109
- adulyasak2015/problem_description.txt +0 -9
- adulyasak2015/solution_logger.py +0 -61
- adulyasak2015/solution_schema.json +0 -6
- alba2013/feasibility_check.py +0 -466
- alba2013/gurobi_code.py +0 -988
- alba2013/gurobi_feasi_result/large_feasi_result_1.json +0 -6
- alba2013/gurobi_feasi_result/large_feasi_result_2.json +0 -6
- alba2013/gurobi_feasi_result/large_feasi_result_3.json +0 -6
- alba2013/gurobi_feasi_result/large_feasi_result_4.json +0 -6
- alba2013/gurobi_feasi_result/large_feasi_result_5.json +0 -6
- alba2013/gurobi_feasi_result/tiny_feasi_result.json +0 -6
- alba2013/gurobi_solution/large_solution_1.json +0 -56
- alba2013/gurobi_solution/large_solution_2.json +0 -56
- alba2013/gurobi_solution/large_solution_3.json +0 -56
- alba2013/gurobi_solution/large_solution_4.json +0 -56
- alba2013/gurobi_solution/large_solution_5.json +0 -56
- alba2013/gurobi_solution/tiny_solution.json +0 -32
- alba2013/gurobi_solution_log/large_log_1.jsonl +0 -1
- alba2013/gurobi_solution_log/large_log_2.jsonl +0 -1
- alba2013/gurobi_solution_log/large_log_3.jsonl +0 -1
- alba2013/gurobi_solution_log/large_log_4.jsonl +0 -1
- alba2013/gurobi_solution_log/large_log_5.jsonl +0 -1
- alba2013/gurobi_solution_log/tiny_log.jsonl +0 -1
- alba2013/instance/large_instance_1.json +0 -1331
- alba2013/instance/large_instance_2.json +0 -1332
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README.md
DELETED
|
@@ -1,91 +0,0 @@
|
|
| 1 |
-
---
|
| 2 |
-
license: cc-by-4.0
|
| 3 |
-
language:
|
| 4 |
-
- en
|
| 5 |
-
pretty_name: Frontier-OR Benchmark
|
| 6 |
-
size_categories:
|
| 7 |
-
- n<1K
|
| 8 |
-
task_categories:
|
| 9 |
-
- other
|
| 10 |
-
tags:
|
| 11 |
-
- operations-research
|
| 12 |
-
- optimization
|
| 13 |
-
- mixed-integer-programming
|
| 14 |
-
- gurobi
|
| 15 |
-
- benchmark
|
| 16 |
-
- llm-for-or
|
| 17 |
-
configs:
|
| 18 |
-
- config_name: meta
|
| 19 |
-
data_files: paper_meta_info.json
|
| 20 |
-
---
|
| 21 |
-
|
| 22 |
-
# Frontier-OR Benchmark
|
| 23 |
-
|
| 24 |
-
A benchmark of **180 literature-grounded OR tasks**, each packaged as a
|
| 25 |
-
self-contained reproducible unit: natural-language problem description,
|
| 26 |
-
mathematical formulation, reference Gurobi implementation, test instances,
|
| 27 |
-
reference solutions, and an automated feasibility checker.
|
| 28 |
-
|
| 29 |
-
Designed for evaluating LLMs on the end-to-end task of turning a research
|
| 30 |
-
paper's OR problem into runnable, verifiably-correct optimization code.
|
| 31 |
-
|
| 32 |
-
## What's in each paper folder
|
| 33 |
-
|
| 34 |
-
| File / dir | Purpose |
|
| 35 |
-
| --- | --- |
|
| 36 |
-
| `problem_description.txt` | Natural-language problem statement |
|
| 37 |
-
| `mathematical_formulation.md` | Mathematical model (variables, constraints, objective) |
|
| 38 |
-
| `gurobi_code.py` | Reference Gurobi implementation |
|
| 39 |
-
| `feasibility_check.py` | Automated solution validator |
|
| 40 |
-
| `solution_logger.py` | Utility for serializing solutions |
|
| 41 |
-
| `instance_schema.json` | JSON schema for input instances |
|
| 42 |
-
| `solution_schema.json` | JSON schema for solutions |
|
| 43 |
-
| `instance/` | Test instances (JSON) |
|
| 44 |
-
| `gurobi_solution/` | Reference solutions produced by `gurobi_code.py` |
|
| 45 |
-
| `gurobi_solution_log/` | Anytime objective trajectory from the reference Gurobi run |
|
| 46 |
-
| `gurobi_feasi_result/` | Output of `feasibility_check.py` on the reference solutions |
|
| 47 |
-
|
| 48 |
-
<!-- ## Top-level files
|
| 49 |
-
|
| 50 |
-
- `paper_meta_info.csv` / `paper_meta_info.json` — metadata for all 180 papers
|
| 51 |
-
(problem class, formulation type, application field, average instance size, etc.). -->
|
| 52 |
-
|
| 53 |
-
<!-- ## Source PDFs
|
| 54 |
-
|
| 55 |
-
The original paper PDFs are **not redistributed** here because copyright belongs
|
| 56 |
-
to the respective publishers (INFORMS, Elsevier, Springer, etc.). Use the
|
| 57 |
-
`paper_id`, `paper_title`, `publication`, and `year` columns in
|
| 58 |
-
`paper_meta_info.csv` to look them up via your institution. -->
|
| 59 |
-
|
| 60 |
-
## Loading the metadata
|
| 61 |
-
|
| 62 |
-
```python
|
| 63 |
-
from datasets import load_dataset
|
| 64 |
-
meta = load_dataset("SmartOR/FrontierOR", "meta", split="train")
|
| 65 |
-
print(meta[0])
|
| 66 |
-
```
|
| 67 |
-
|
| 68 |
-
For the per-paper instance / solution data, clone or download the full
|
| 69 |
-
repository — the structure is intentionally a file tree, not a flat HF
|
| 70 |
-
dataset, because each paper is its own reproducible package.
|
| 71 |
-
|
| 72 |
-
```bash
|
| 73 |
-
hf download SmartOR/FrontierOR --repo-type dataset --local-dir frontier-or
|
| 74 |
-
```
|
| 75 |
-
|
| 76 |
-
<!-- ## License
|
| 77 |
-
|
| 78 |
-
Released under **CC-BY-4.0**. If you use this benchmark, please cite the
|
| 79 |
-
accompanying paper (citation below) and respect the original publishers'
|
| 80 |
-
copyright on the source PDFs. -->
|
| 81 |
-
|
| 82 |
-
<!-- ## Citation
|
| 83 |
-
|
| 84 |
-
```bibtex
|
| 85 |
-
@misc{frontier-or-2026,
|
| 86 |
-
title = {Frontier-OR: A Benchmark for LLM-Based Operations Research Code Generation},
|
| 87 |
-
author = {Kong, Minwei and others},
|
| 88 |
-
year = {2026},
|
| 89 |
-
url = {https://huggingface.co/datasets/SmartOR/FrontierOR}
|
| 90 |
-
}
|
| 91 |
-
``` -->
|
|
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|
|
adulyasak2015/feasibility_check.py
DELETED
|
@@ -1,683 +0,0 @@
|
|
| 1 |
-
#!/usr/bin/env python3
|
| 2 |
-
"""
|
| 3 |
-
Feasibility checker for the Two-Stage Stochastic Production Routing Problem (2-SPRP).
|
| 4 |
-
Reference: Adulyasak, Cordeau, Jans (2015), Operations Research.
|
| 5 |
-
|
| 6 |
-
Checks all hard constraints from the mathematical formulation.
|
| 7 |
-
Constraint numbering follows the paper's formulation section, counted from top to bottom:
|
| 8 |
-
Constraint 1 = Eq.(2): Plant inventory flow balance (=)
|
| 9 |
-
Constraint 2 = Eq.(3): Customer inventory flow balance (=)
|
| 10 |
-
Constraint 3 = Eq.(4): Maximum inventory at plant (<=)
|
| 11 |
-
Constraint 4 = Eq.(5): Maximum inventory at customers (<=)
|
| 12 |
-
Constraint 5 = Eq.(6): Production capacity / setup (<=)
|
| 13 |
-
Constraint 6 = Eq.(7): Vehicle load capacity (<=)
|
| 14 |
-
Constraint 7 = Eq.(8): Delivery only if customer visited (<=)
|
| 15 |
-
Constraint 8 = Eq.(9): Each customer visited at most once per period (<=)
|
| 16 |
-
Constraint 9 = Eq.(10): Degree constraints (=)
|
| 17 |
-
Constraint 10 = Eq.(11): Subtour elimination (<=)
|
| 18 |
-
Constraint 11 = Eq.(12): Nonnegativity of second-stage variables (>=)
|
| 19 |
-
Constraint 12 = Eq.(13): Binary y, z (domain)
|
| 20 |
-
Constraint 13 = Eq.(14): Binary x for non-depot edges (domain)
|
| 21 |
-
Constraint 14 = Eq.(15): x at depot edges in {0,1,2} (domain)
|
| 22 |
-
Constraint 15 = Eq.(16): Customer visit requires vehicle dispatch (<=)
|
| 23 |
-
Constraint 16 = Eq.(17): Edge implies both endpoints visited (<=)
|
| 24 |
-
Constraint 17 = Eq.(18): Vehicle symmetry breaking (>=)
|
| 25 |
-
Constraint 18 = Eq.(19): Lexicographic ordering of visits (>=)
|
| 26 |
-
Constraint 19 = Eq.(20): Nonanticipativity for p (=, M-SPRP only)
|
| 27 |
-
Constraint 20 = Eq.(21): Nonanticipativity for I (=, M-SPRP only)
|
| 28 |
-
Constraint 21 = Eq.(22): Nonanticipativity for e (=, M-SPRP only)
|
| 29 |
-
Constraint 22 = Eq.(23): Nonanticipativity for q (=, M-SPRP only)
|
| 30 |
-
Constraint 23 = Objective consistency (lower-bound check on reported obj)
|
| 31 |
-
"""
|
| 32 |
-
|
| 33 |
-
import argparse
|
| 34 |
-
import json
|
| 35 |
-
from collections import defaultdict
|
| 36 |
-
|
| 37 |
-
|
| 38 |
-
def check_feasibility(data, sol):
|
| 39 |
-
tol = 1e-5
|
| 40 |
-
eps = 1e-5
|
| 41 |
-
|
| 42 |
-
n = data['n']
|
| 43 |
-
T = data['T']
|
| 44 |
-
m = data['m']
|
| 45 |
-
Q = data['Q']
|
| 46 |
-
C = data['C']
|
| 47 |
-
L = data['L']
|
| 48 |
-
I0 = data['I0']
|
| 49 |
-
demand_sc = data['demand_scenarios']
|
| 50 |
-
n_omega = data['n_scenarios']
|
| 51 |
-
problem_type = data.get('problem_type', '2-SPRP')
|
| 52 |
-
|
| 53 |
-
Nc = list(range(1, n + 1))
|
| 54 |
-
N = list(range(0, n + 1))
|
| 55 |
-
periods = list(range(1, T + 1))
|
| 56 |
-
vehicles = list(range(1, m + 1))
|
| 57 |
-
scenarios = list(range(n_omega))
|
| 58 |
-
|
| 59 |
-
edges = [(i, j) for i in N for j in N if i < j]
|
| 60 |
-
edges_Nc = [(i, j) for i in Nc for j in Nc if i < j]
|
| 61 |
-
|
| 62 |
-
def d(omega, i, t):
|
| 63 |
-
return demand_sc[omega][i - 1][t - 1]
|
| 64 |
-
|
| 65 |
-
def M_t_val(t, omega):
|
| 66 |
-
rem = sum(d(omega, ci, s) for ci in Nc for s in range(t, T + 1))
|
| 67 |
-
return min(C, Q, rem)
|
| 68 |
-
|
| 69 |
-
def M_prime_val(i, t, omega):
|
| 70 |
-
rem = sum(d(omega, i, s) for s in range(t, T + 1))
|
| 71 |
-
return min(L[i], Q, rem)
|
| 72 |
-
|
| 73 |
-
# --- Parse solution ---
|
| 74 |
-
y = {}
|
| 75 |
-
for key, val in sol.get('y', {}).items():
|
| 76 |
-
y[int(key)] = val
|
| 77 |
-
for t in periods:
|
| 78 |
-
y.setdefault(t, 0)
|
| 79 |
-
|
| 80 |
-
z = {}
|
| 81 |
-
for key, val in sol.get('z', {}).items():
|
| 82 |
-
parts = key.split('_')
|
| 83 |
-
i, k, t = int(parts[0]), int(parts[1]), int(parts[2])
|
| 84 |
-
z[i, k, t] = val
|
| 85 |
-
for i in N:
|
| 86 |
-
for k in vehicles:
|
| 87 |
-
for t in periods:
|
| 88 |
-
z.setdefault((i, k, t), 0)
|
| 89 |
-
|
| 90 |
-
x = {}
|
| 91 |
-
for key, val in sol.get('x', {}).items():
|
| 92 |
-
parts = key.split('_')
|
| 93 |
-
i, j, k, t = int(parts[0]), int(parts[1]), int(parts[2]), int(parts[3])
|
| 94 |
-
x[i, j, k, t] = val
|
| 95 |
-
for (i, j) in edges:
|
| 96 |
-
for k in vehicles:
|
| 97 |
-
for t in periods:
|
| 98 |
-
x.setdefault((i, j, k, t), 0)
|
| 99 |
-
|
| 100 |
-
violations_list = [] # list of (constraint_idx, message, lhs, rhs, raw_excess, normalizer, ratio)
|
| 101 |
-
violated_set = set()
|
| 102 |
-
|
| 103 |
-
def record_violation(constraint_idx, lhs, rhs, op, msg):
|
| 104 |
-
if op == '<=':
|
| 105 |
-
violation_amount = max(0.0, lhs - rhs)
|
| 106 |
-
elif op == '>=':
|
| 107 |
-
violation_amount = max(0.0, rhs - lhs)
|
| 108 |
-
elif op == '=':
|
| 109 |
-
violation_amount = abs(lhs - rhs)
|
| 110 |
-
else:
|
| 111 |
-
return
|
| 112 |
-
|
| 113 |
-
if violation_amount > tol:
|
| 114 |
-
normalizer = max(abs(rhs), eps)
|
| 115 |
-
ratio = violation_amount / normalizer
|
| 116 |
-
violated_set.add(constraint_idx)
|
| 117 |
-
violations_list.append({
|
| 118 |
-
'constraint': constraint_idx,
|
| 119 |
-
'msg': msg,
|
| 120 |
-
'lhs': float(lhs),
|
| 121 |
-
'rhs': float(rhs),
|
| 122 |
-
'raw_excess': float(violation_amount),
|
| 123 |
-
'normalizer': float(normalizer),
|
| 124 |
-
'ratio': float(ratio),
|
| 125 |
-
})
|
| 126 |
-
|
| 127 |
-
# =====================================================================
|
| 128 |
-
# Constraints 1-7 (Eqs. 2-8): Second-stage constraints
|
| 129 |
-
# These involve second-stage variables (p, I, q, e) not present in the
|
| 130 |
-
# solution. We construct feasible second-stage variables to verify.
|
| 131 |
-
# For any first-stage (y, z, x), feasible second-stage always exists
|
| 132 |
-
# because unmet demand variable e acts as slack.
|
| 133 |
-
# =====================================================================
|
| 134 |
-
|
| 135 |
-
# Construct feasible second-stage variables for each scenario
|
| 136 |
-
for omega in scenarios:
|
| 137 |
-
# Determine maximum production and delivery given first-stage decisions
|
| 138 |
-
# Greedy: produce as much as allowed, deliver as much as possible
|
| 139 |
-
# to minimize unmet demand (which always makes constraints feasible).
|
| 140 |
-
|
| 141 |
-
# Production capacity per period
|
| 142 |
-
p_max = {}
|
| 143 |
-
for t in periods:
|
| 144 |
-
p_max[t] = M_t_val(t, omega) * y[t]
|
| 145 |
-
|
| 146 |
-
# Delivery capacity per customer/vehicle/period
|
| 147 |
-
q_max = {}
|
| 148 |
-
for i_c in Nc:
|
| 149 |
-
for k in vehicles:
|
| 150 |
-
for t in periods:
|
| 151 |
-
q_max[i_c, k, t] = M_prime_val(i_c, t, omega) * z[i_c, k, t]
|
| 152 |
-
|
| 153 |
-
# Vehicle load limit per vehicle/period
|
| 154 |
-
veh_cap = {}
|
| 155 |
-
for k in vehicles:
|
| 156 |
-
for t in periods:
|
| 157 |
-
veh_cap[k, t] = Q * z[0, k, t]
|
| 158 |
-
|
| 159 |
-
# Forward simulation: allocate production and deliveries
|
| 160 |
-
I_plant = {0: float(I0[0])}
|
| 161 |
-
I_cust = {}
|
| 162 |
-
for i_c in Nc:
|
| 163 |
-
I_cust[i_c, 0] = float(I0[i_c])
|
| 164 |
-
|
| 165 |
-
p_val = {}
|
| 166 |
-
q_val = {}
|
| 167 |
-
e_val = {}
|
| 168 |
-
|
| 169 |
-
for t in periods:
|
| 170 |
-
# Determine total demand and delivery needs
|
| 171 |
-
total_need = 0.0
|
| 172 |
-
for i_c in Nc:
|
| 173 |
-
need = max(0.0, d(omega, i_c, t) - I_cust[i_c, t - 1])
|
| 174 |
-
total_need += need
|
| 175 |
-
|
| 176 |
-
# Production: produce up to capacity, limited by plant storage
|
| 177 |
-
produce = min(p_max[t], total_need, L[0] - I_plant[t - 1] + total_need)
|
| 178 |
-
produce = max(0.0, produce)
|
| 179 |
-
p_val[t] = produce
|
| 180 |
-
|
| 181 |
-
# Available at plant for delivery
|
| 182 |
-
available = I_plant[t - 1] + produce
|
| 183 |
-
|
| 184 |
-
# Allocate deliveries: respect vehicle capacity and customer visit
|
| 185 |
-
total_delivered = 0.0
|
| 186 |
-
for k in vehicles:
|
| 187 |
-
veh_remaining = veh_cap[k, t]
|
| 188 |
-
for i_c in Nc:
|
| 189 |
-
cap = min(q_max[i_c, k, t], veh_remaining,
|
| 190 |
-
max(0.0, available - total_delivered))
|
| 191 |
-
# Deliver up to demand shortfall
|
| 192 |
-
need = max(0.0, d(omega, i_c, t) - I_cust[i_c, t - 1])
|
| 193 |
-
deliver = min(cap, need)
|
| 194 |
-
q_val[i_c, k, t] = deliver
|
| 195 |
-
veh_remaining -= deliver
|
| 196 |
-
total_delivered += deliver
|
| 197 |
-
|
| 198 |
-
# Update plant inventory
|
| 199 |
-
I_plant[t] = I_plant[t - 1] + p_val[t] - total_delivered
|
| 200 |
-
|
| 201 |
-
# Update customer inventories and unmet demand
|
| 202 |
-
for i_c in Nc:
|
| 203 |
-
delivery = sum(q_val[i_c, k, t] for k in vehicles)
|
| 204 |
-
dem = d(omega, i_c, t)
|
| 205 |
-
prev = I_cust[i_c, t - 1]
|
| 206 |
-
# Balance: prev + delivery + e = dem + I_new
|
| 207 |
-
I_cust[i_c, t] = max(0.0, prev + delivery - dem)
|
| 208 |
-
e_val[i_c, t] = max(0.0, dem - prev - delivery)
|
| 209 |
-
|
| 210 |
-
# --- Constraint 1 (Eq.2): Plant inventory balance ---
|
| 211 |
-
lhs = I_plant[t - 1] + p_val[t]
|
| 212 |
-
rhs = total_delivered + I_plant[t]
|
| 213 |
-
record_violation(1, lhs, rhs, '=',
|
| 214 |
-
f"Constraint 1 (Eq.2): Plant balance violated in period {t}, scenario {omega}: "
|
| 215 |
-
f"LHS={lhs:.6f} != RHS={rhs:.6f}")
|
| 216 |
-
|
| 217 |
-
# --- Constraint 3 (Eq.4): Plant inventory capacity ---
|
| 218 |
-
record_violation(3, I_plant[t], float(L[0]), '<=',
|
| 219 |
-
f"Constraint 3 (Eq.4): Plant inventory {I_plant[t]:.4f} > capacity {L[0]} "
|
| 220 |
-
f"in period {t}, scenario {omega}")
|
| 221 |
-
|
| 222 |
-
# --- Constraint 5 (Eq.6): Production capacity ---
|
| 223 |
-
record_violation(5, p_val[t], p_max[t], '<=',
|
| 224 |
-
f"Constraint 5 (Eq.6): Production {p_val[t]:.4f} > capacity {p_max[t]:.4f} "
|
| 225 |
-
f"in period {t}, scenario {omega}")
|
| 226 |
-
|
| 227 |
-
for i_c in Nc:
|
| 228 |
-
delivery = sum(q_val[i_c, k, t] for k in vehicles)
|
| 229 |
-
dem = d(omega, i_c, t)
|
| 230 |
-
|
| 231 |
-
# --- Constraint 2 (Eq.3): Customer inventory balance ---
|
| 232 |
-
lhs2 = I_cust[i_c, t - 1] + delivery + e_val[i_c, t]
|
| 233 |
-
rhs2 = dem + I_cust[i_c, t]
|
| 234 |
-
record_violation(2, lhs2, rhs2, '=',
|
| 235 |
-
f"Constraint 2 (Eq.3): Customer {i_c} balance violated in period {t}, "
|
| 236 |
-
f"scenario {omega}: LHS={lhs2:.6f} != RHS={rhs2:.6f}")
|
| 237 |
-
|
| 238 |
-
# --- Constraint 4 (Eq.5): Customer inventory capacity ---
|
| 239 |
-
record_violation(4, I_cust[i_c, t] + dem, float(L[i_c]), '<=',
|
| 240 |
-
f"Constraint 4 (Eq.5): Customer {i_c} inventory+demand "
|
| 241 |
-
f"{I_cust[i_c, t] + dem:.4f} > capacity {L[i_c]} "
|
| 242 |
-
f"in period {t}, scenario {omega}")
|
| 243 |
-
|
| 244 |
-
# --- Constraint 7 (Eq.8): Delivery only if visited ---
|
| 245 |
-
for k in vehicles:
|
| 246 |
-
mp = M_prime_val(i_c, t, omega) * z[i_c, k, t]
|
| 247 |
-
record_violation(7, q_val[i_c, k, t], mp, '<=',
|
| 248 |
-
f"Constraint 7 (Eq.8): Delivery to customer {i_c} by vehicle {k} "
|
| 249 |
-
f"in period {t}, scenario {omega}: {q_val[i_c, k, t]:.4f} > {mp:.4f}")
|
| 250 |
-
|
| 251 |
-
# --- Constraint 6 (Eq.7): Vehicle load capacity ---
|
| 252 |
-
for k in vehicles:
|
| 253 |
-
total_load = sum(q_val[i_c, k, t] for i_c in Nc)
|
| 254 |
-
cap_rhs = Q * z[0, k, t]
|
| 255 |
-
record_violation(6, total_load, float(cap_rhs), '<=',
|
| 256 |
-
f"Constraint 6 (Eq.7): Vehicle {k} load {total_load:.4f} > capacity "
|
| 257 |
-
f"{cap_rhs:.4f} in period {t}, scenario {omega}")
|
| 258 |
-
|
| 259 |
-
# --- Constraint 11 (Eq.12): Nonnegativity ---
|
| 260 |
-
for t in periods:
|
| 261 |
-
record_violation(11, 0.0, p_val[t], '<=',
|
| 262 |
-
f"Constraint 11 (Eq.12): p_{t} negative ({p_val[t]:.6f}) in scenario {omega}")
|
| 263 |
-
record_violation(11, 0.0, I_plant[t], '<=',
|
| 264 |
-
f"Constraint 11 (Eq.12): I_plant_{t} negative ({I_plant[t]:.6f}) in scenario {omega}")
|
| 265 |
-
for i_c in Nc:
|
| 266 |
-
record_violation(11, 0.0, I_cust[i_c, t], '<=',
|
| 267 |
-
f"Constraint 11 (Eq.12): I_{i_c}_{t} negative ({I_cust[i_c, t]:.6f}) "
|
| 268 |
-
f"in scenario {omega}")
|
| 269 |
-
record_violation(11, 0.0, e_val[i_c, t], '<=',
|
| 270 |
-
f"Constraint 11 (Eq.12): e_{i_c}_{t} negative ({e_val[i_c, t]:.6f}) "
|
| 271 |
-
f"in scenario {omega}")
|
| 272 |
-
for k in vehicles:
|
| 273 |
-
record_violation(11, 0.0, q_val[i_c, k, t], '<=',
|
| 274 |
-
f"Constraint 11 (Eq.12): q_{i_c}_{k}_{t} negative "
|
| 275 |
-
f"({q_val[i_c, k, t]:.6f}) in scenario {omega}")
|
| 276 |
-
|
| 277 |
-
# =====================================================================
|
| 278 |
-
# Constraint 8 (Eq.9): Each customer visited at most once per period
|
| 279 |
-
# sum_k z_{ikt} <= 1 for all i in Nc, t in T
|
| 280 |
-
# =====================================================================
|
| 281 |
-
for i_c in Nc:
|
| 282 |
-
for t in periods:
|
| 283 |
-
lhs = sum(z[i_c, k, t] for k in vehicles)
|
| 284 |
-
record_violation(8, float(lhs), 1.0, '<=',
|
| 285 |
-
f"Constraint 8 (Eq.9): Customer {i_c} visited {lhs} times "
|
| 286 |
-
f"(> 1) in period {t}")
|
| 287 |
-
|
| 288 |
-
# =====================================================================
|
| 289 |
-
# Constraint 9 (Eq.10): Degree constraints
|
| 290 |
-
# sum_{(j,j') in delta(i)} x_{jj'kt} = 2 * z_{ikt}
|
| 291 |
-
# =====================================================================
|
| 292 |
-
for i_node in N:
|
| 293 |
-
for k in vehicles:
|
| 294 |
-
for t in periods:
|
| 295 |
-
inc_edges = [(a, b) for (a, b) in edges if a == i_node or b == i_node]
|
| 296 |
-
lhs = sum(x[a, b, k, t] for (a, b) in inc_edges)
|
| 297 |
-
rhs = 2.0 * z[i_node, k, t]
|
| 298 |
-
record_violation(9, float(lhs), float(rhs), '=',
|
| 299 |
-
f"Constraint 9 (Eq.10): Degree of node {i_node} by vehicle {k} "
|
| 300 |
-
f"in period {t}: sum_edges={lhs} != 2*z={rhs}")
|
| 301 |
-
|
| 302 |
-
# =====================================================================
|
| 303 |
-
# Constraint 10 (Eq.11): Subtour elimination
|
| 304 |
-
# For each vehicle k and period t, check that visited customers form
|
| 305 |
-
# a connected component through the depot (no customer-only subtours).
|
| 306 |
-
# =====================================================================
|
| 307 |
-
for k in vehicles:
|
| 308 |
-
for t in periods:
|
| 309 |
-
visited = [i_c for i_c in Nc if z[i_c, k, t] > 0.5]
|
| 310 |
-
if len(visited) < 2:
|
| 311 |
-
continue
|
| 312 |
-
|
| 313 |
-
# Build adjacency among all nodes with edges
|
| 314 |
-
adj = defaultdict(set)
|
| 315 |
-
for (a, b) in edges:
|
| 316 |
-
if x[a, b, k, t] > 0.5:
|
| 317 |
-
adj[a].add(b)
|
| 318 |
-
adj[b].add(a)
|
| 319 |
-
|
| 320 |
-
# BFS from depot to find reachable customers
|
| 321 |
-
reachable = set()
|
| 322 |
-
stack = [0]
|
| 323 |
-
seen = set()
|
| 324 |
-
while stack:
|
| 325 |
-
node = stack.pop()
|
| 326 |
-
if node in seen:
|
| 327 |
-
continue
|
| 328 |
-
seen.add(node)
|
| 329 |
-
if node in visited:
|
| 330 |
-
reachable.add(node)
|
| 331 |
-
for nb in adj[node]:
|
| 332 |
-
if nb not in seen:
|
| 333 |
-
stack.append(nb)
|
| 334 |
-
|
| 335 |
-
# Customers visited but not reachable from depot form subtours
|
| 336 |
-
subtour_nodes = set(visited) - reachable
|
| 337 |
-
if subtour_nodes:
|
| 338 |
-
# Find the subtour components
|
| 339 |
-
remaining = set(subtour_nodes)
|
| 340 |
-
while remaining:
|
| 341 |
-
start = next(iter(remaining))
|
| 342 |
-
comp = set()
|
| 343 |
-
stack = [start]
|
| 344 |
-
while stack:
|
| 345 |
-
node = stack.pop()
|
| 346 |
-
if node in comp:
|
| 347 |
-
continue
|
| 348 |
-
comp.add(node)
|
| 349 |
-
for nb in adj[node]:
|
| 350 |
-
if nb in remaining and nb not in comp:
|
| 351 |
-
stack.append(nb)
|
| 352 |
-
remaining -= comp
|
| 353 |
-
S = comp
|
| 354 |
-
# Compute violation: sum x_{ij} for (i,j) in E(S) <= sum z - z_e
|
| 355 |
-
E_S = [(a, b) for (a, b) in edges if a in S and b in S]
|
| 356 |
-
sum_x = sum(x[a, b, k, t] for (a, b) in E_S)
|
| 357 |
-
for e_node in S:
|
| 358 |
-
rhs_val = sum(z[i_c, k, t] for i_c in S) - z[e_node, k, t]
|
| 359 |
-
violation_amount = max(0.0, sum_x - rhs_val)
|
| 360 |
-
if violation_amount > tol:
|
| 361 |
-
normalizer = max(abs(rhs_val), eps)
|
| 362 |
-
ratio = violation_amount / normalizer
|
| 363 |
-
violated_set.add(10)
|
| 364 |
-
violations_list.append({
|
| 365 |
-
'constraint': 10,
|
| 366 |
-
'msg': (f"Constraint 10 (Eq.11): Subtour among customers "
|
| 367 |
-
f"{sorted(S)} by vehicle {k} in period {t}"),
|
| 368 |
-
'lhs': float(sum_x),
|
| 369 |
-
'rhs': float(rhs_val),
|
| 370 |
-
'raw_excess': float(violation_amount),
|
| 371 |
-
'normalizer': float(normalizer),
|
| 372 |
-
'ratio': float(ratio),
|
| 373 |
-
})
|
| 374 |
-
break # one violation per component suffices
|
| 375 |
-
|
| 376 |
-
# =====================================================================
|
| 377 |
-
# Constraint 12 (Eq.13): Binary y_t, z_{ikt}
|
| 378 |
-
# =====================================================================
|
| 379 |
-
for t in periods:
|
| 380 |
-
val = y[t]
|
| 381 |
-
if abs(val - round(val)) > tol or round(val) not in (0, 1):
|
| 382 |
-
record_violation(12, float(val), float(round(val)), '=',
|
| 383 |
-
f"Constraint 12 (Eq.13): y_{t} = {val} is not binary")
|
| 384 |
-
|
| 385 |
-
for i_node in N:
|
| 386 |
-
for k in vehicles:
|
| 387 |
-
for t in periods:
|
| 388 |
-
val = z[i_node, k, t]
|
| 389 |
-
if abs(val - round(val)) > tol or round(val) not in (0, 1):
|
| 390 |
-
record_violation(12, float(val), float(round(val)), '=',
|
| 391 |
-
f"Constraint 12 (Eq.13): z_{i_node}_{k}_{t} = {val} is not binary")
|
| 392 |
-
|
| 393 |
-
# =====================================================================
|
| 394 |
-
# Constraint 13 (Eq.14): Binary x for non-depot edges (i != 0)
|
| 395 |
-
# =====================================================================
|
| 396 |
-
for (i_e, j_e) in edges:
|
| 397 |
-
if i_e == 0:
|
| 398 |
-
continue
|
| 399 |
-
for k in vehicles:
|
| 400 |
-
for t in periods:
|
| 401 |
-
val = x[i_e, j_e, k, t]
|
| 402 |
-
if abs(val - round(val)) > tol or round(val) not in (0, 1):
|
| 403 |
-
record_violation(13, float(val), float(round(val)), '=',
|
| 404 |
-
f"Constraint 13 (Eq.14): x_{i_e}_{j_e}_{k}_{t} = {val} "
|
| 405 |
-
f"is not binary (non-depot edge)")
|
| 406 |
-
|
| 407 |
-
# =====================================================================
|
| 408 |
-
# Constraint 14 (Eq.15): x at depot edges in {0, 1, 2}
|
| 409 |
-
# =====================================================================
|
| 410 |
-
for j_e in Nc:
|
| 411 |
-
for k in vehicles:
|
| 412 |
-
for t in periods:
|
| 413 |
-
val = x[0, j_e, k, t]
|
| 414 |
-
if abs(val - round(val)) > tol or round(val) not in (0, 1, 2):
|
| 415 |
-
record_violation(14, float(val), float(round(val)), '=',
|
| 416 |
-
f"Constraint 14 (Eq.15): x_0_{j_e}_{k}_{t} = {val} "
|
| 417 |
-
f"not in {{0,1,2}} (depot edge)")
|
| 418 |
-
|
| 419 |
-
# =====================================================================
|
| 420 |
-
# Constraint 15 (Eq.16): z_{ikt} <= z_{0kt} for i in Nc
|
| 421 |
-
# =====================================================================
|
| 422 |
-
for i_c in Nc:
|
| 423 |
-
for k in vehicles:
|
| 424 |
-
for t in periods:
|
| 425 |
-
lhs = float(z[i_c, k, t])
|
| 426 |
-
rhs = float(z[0, k, t])
|
| 427 |
-
record_violation(15, lhs, rhs, '<=',
|
| 428 |
-
f"Constraint 15 (Eq.16): z_{i_c}_{k}_{t}={lhs} > "
|
| 429 |
-
f"z_0_{k}_{t}={rhs} (customer visited without vehicle dispatch)")
|
| 430 |
-
|
| 431 |
-
# =====================================================================
|
| 432 |
-
# Constraint 16 (Eq.17): x_{ijkt} <= z_{ikt} and x_{ijkt} <= z_{jkt}
|
| 433 |
-
# for (i,j) in E(Nc)
|
| 434 |
-
# =====================================================================
|
| 435 |
-
for (i_e, j_e) in edges_Nc:
|
| 436 |
-
for k in vehicles:
|
| 437 |
-
for t in periods:
|
| 438 |
-
val = float(x[i_e, j_e, k, t])
|
| 439 |
-
zi = float(z[i_e, k, t])
|
| 440 |
-
zj = float(z[j_e, k, t])
|
| 441 |
-
record_violation(16, val, zi, '<=',
|
| 442 |
-
f"Constraint 16 (Eq.17): x_{i_e}_{j_e}_{k}_{t}={val} > "
|
| 443 |
-
f"z_{i_e}_{k}_{t}={zi}")
|
| 444 |
-
record_violation(16, val, zj, '<=',
|
| 445 |
-
f"Constraint 16 (Eq.17): x_{i_e}_{j_e}_{k}_{t}={val} > "
|
| 446 |
-
f"z_{j_e}_{k}_{t}={zj}")
|
| 447 |
-
|
| 448 |
-
# =====================================================================
|
| 449 |
-
# Constraint 17 (Eq.18): z_{0kt} >= z_{0,k+1,t} (vehicle symmetry)
|
| 450 |
-
# Only applies when m > 1
|
| 451 |
-
# =====================================================================
|
| 452 |
-
if m > 1:
|
| 453 |
-
for k in range(1, m):
|
| 454 |
-
for t in periods:
|
| 455 |
-
lhs = float(z[0, k, t])
|
| 456 |
-
rhs = float(z[0, k + 1, t])
|
| 457 |
-
record_violation(17, lhs, rhs, '>=',
|
| 458 |
-
f"Constraint 17 (Eq.18): z_0_{k}_{t}={lhs} < "
|
| 459 |
-
f"z_0_{k+1}_{t}={rhs} (vehicle ordering violated)")
|
| 460 |
-
|
| 461 |
-
# =====================================================================
|
| 462 |
-
# Constraint 18 (Eq.19): Lexicographic ordering
|
| 463 |
-
# sum_{i=1}^{j} 2^{j-i} z_{ikt} >= sum_{i=1}^{j} 2^{j-i} z_{i,k+1,t}
|
| 464 |
-
# Only applies when m > 1
|
| 465 |
-
# =====================================================================
|
| 466 |
-
if m > 1:
|
| 467 |
-
for j_node in Nc:
|
| 468 |
-
for k in range(1, m):
|
| 469 |
-
for t in periods:
|
| 470 |
-
lhs = sum(2 ** (j_node - i_c) * z[i_c, k, t]
|
| 471 |
-
for i_c in range(1, j_node + 1))
|
| 472 |
-
rhs = sum(2 ** (j_node - i_c) * z[i_c, k + 1, t]
|
| 473 |
-
for i_c in range(1, j_node + 1))
|
| 474 |
-
record_violation(18, float(lhs), float(rhs), '>=',
|
| 475 |
-
f"Constraint 18 (Eq.19): Lexicographic ordering violated "
|
| 476 |
-
f"for j={j_node}, k={k}, t={t}: {lhs} < {rhs}")
|
| 477 |
-
|
| 478 |
-
# =====================================================================
|
| 479 |
-
# Constraints 19-22 (Eqs.20-23): Nonanticipativity (M-SPRP only)
|
| 480 |
-
# These only apply to multistage problems. For 2-SPRP, first-stage
|
| 481 |
-
# variables are scenario-independent by construction, so these are
|
| 482 |
-
# trivially satisfied.
|
| 483 |
-
# =====================================================================
|
| 484 |
-
# (Skipped for 2-SPRP; the solution format already has scenario-independent y, z, x.)
|
| 485 |
-
|
| 486 |
-
# =====================================================================
|
| 487 |
-
# Constraint 23: Objective-value consistency (Tier C anti-exploit check)
|
| 488 |
-
# Envelope check: reported objective_value must fall in [obj_lower,
|
| 489 |
-
# obj_upper], where both bounds are derivable from the first-stage
|
| 490 |
-
# variables (y, z, x) and instance data alone (the second-stage
|
| 491 |
-
# p, I, q, e are not in the solution schema).
|
| 492 |
-
#
|
| 493 |
-
# LOWER BOUND (rejects obj=0 / "do-nothing" exploit):
|
| 494 |
-
# setup_floor = f * sum_t y_t (exact)
|
| 495 |
-
# transp_floor = sum_{i,j,k,t} c_{ij} * x_{ijkt} (exact)
|
| 496 |
-
# production cost >= 0, holding cost >= 0 (omitted)
|
| 497 |
-
# unmet penalty (general case): >= 0 (omitted)
|
| 498 |
-
# unmet penalty (do-nothing, sum_y == 0): EXACTLY
|
| 499 |
-
# sum_w prob_w * sum_i sigma_i * max(0, total_demand_iw - I0_i)
|
| 500 |
-
# because with no production, all customer demand beyond initial
|
| 501 |
-
# inventory must be unmet -> the bound is tight in this case.
|
| 502 |
-
#
|
| 503 |
-
# UPPER BOUND (rejects obj=MAX_FLOAT / arbitrarily-huge exploit):
|
| 504 |
-
# setup = exact (as above)
|
| 505 |
-
# transp = exact (as above)
|
| 506 |
-
# production <= u * C * sum_y (capacity-bound, scenario-indep)
|
| 507 |
-
# unmet <= sum_w prob_w * sum_i sigma_i * sum_t d_itw
|
| 508 |
-
# holding <= T * (h_0 * L_0 + sum_{i in Nc} h_i * L_i)
|
| 509 |
-
# =====================================================================
|
| 510 |
-
reported_obj = sol.get('objective_value')
|
| 511 |
-
try:
|
| 512 |
-
reported = float(reported_obj) if reported_obj is not None else None
|
| 513 |
-
except (TypeError, ValueError):
|
| 514 |
-
reported = None
|
| 515 |
-
|
| 516 |
-
if reported is not None:
|
| 517 |
-
f_cost = float(data.get('f', 0.0))
|
| 518 |
-
u_cost = float(data.get('u', 0.0))
|
| 519 |
-
h_vec = data.get('h')
|
| 520 |
-
transp_costs = data.get('transportation_costs')
|
| 521 |
-
probs = data.get('scenario_probabilities')
|
| 522 |
-
sigma = data.get('sigma')
|
| 523 |
-
|
| 524 |
-
sum_y = sum(float(y[t]) for t in periods)
|
| 525 |
-
setup = f_cost * sum_y
|
| 526 |
-
|
| 527 |
-
transp = 0.0
|
| 528 |
-
if transp_costs is not None:
|
| 529 |
-
for (i_e, j_e) in edges:
|
| 530 |
-
for k in vehicles:
|
| 531 |
-
for t in periods:
|
| 532 |
-
transp += float(transp_costs[i_e][j_e]) * float(x[i_e, j_e, k, t])
|
| 533 |
-
|
| 534 |
-
# Tight unmet-demand floor in the do-nothing case (no production at all).
|
| 535 |
-
unmet_floor = 0.0
|
| 536 |
-
if (abs(sum_y) <= tol and probs is not None and sigma is not None):
|
| 537 |
-
for w in scenarios:
|
| 538 |
-
pw = float(probs[w])
|
| 539 |
-
for i_c in Nc:
|
| 540 |
-
total_d = sum(float(d(w, i_c, t)) for t in periods)
|
| 541 |
-
unmet_floor += pw * float(sigma[i_c - 1]) * max(0.0, total_d - float(I0[i_c]))
|
| 542 |
-
|
| 543 |
-
obj_lower = setup + transp + unmet_floor
|
| 544 |
-
|
| 545 |
-
# Worst-case upper bound from first-stage decisions + instance data.
|
| 546 |
-
prod_upper = u_cost * float(C) * sum_y
|
| 547 |
-
unmet_upper = 0.0
|
| 548 |
-
if probs is not None and sigma is not None:
|
| 549 |
-
for w in scenarios:
|
| 550 |
-
pw = float(probs[w])
|
| 551 |
-
for i_c in Nc:
|
| 552 |
-
total_d = sum(float(d(w, i_c, t)) for t in periods)
|
| 553 |
-
unmet_upper += pw * float(sigma[i_c - 1]) * total_d
|
| 554 |
-
hold_upper = 0.0
|
| 555 |
-
if h_vec is not None:
|
| 556 |
-
hold_upper = float(T) * (
|
| 557 |
-
float(h_vec[0]) * float(L[0])
|
| 558 |
-
+ sum(float(h_vec[i_c]) * float(L[i_c]) for i_c in Nc)
|
| 559 |
-
)
|
| 560 |
-
obj_upper = setup + transp + prod_upper + unmet_upper + hold_upper
|
| 561 |
-
|
| 562 |
-
tol_obj_lo = max(1e-3, 1e-3 * abs(obj_lower))
|
| 563 |
-
tol_obj_hi = max(1e-3, 1e-3 * abs(obj_upper))
|
| 564 |
-
|
| 565 |
-
shortfall = obj_lower - reported
|
| 566 |
-
overshoot = reported - obj_upper
|
| 567 |
-
|
| 568 |
-
if shortfall > tol_obj_lo:
|
| 569 |
-
normalizer = max(abs(obj_lower), eps)
|
| 570 |
-
ratio = shortfall / normalizer
|
| 571 |
-
violated_set.add(23)
|
| 572 |
-
bound_components = (
|
| 573 |
-
f"setup={setup:.4f}, transp={transp:.4f}, "
|
| 574 |
-
f"unmet(do-nothing)={unmet_floor:.4f}"
|
| 575 |
-
if abs(sum_y) <= tol
|
| 576 |
-
else f"setup={setup:.4f}, transp={transp:.4f}, unmet>=0"
|
| 577 |
-
)
|
| 578 |
-
violations_list.append({
|
| 579 |
-
'constraint': 23,
|
| 580 |
-
'msg': (
|
| 581 |
-
f"Constraint 23 (Objective consistency): reported objective_value="
|
| 582 |
-
f"{reported:.6f} is below the lower bound obj_lower={obj_lower:.6f} "
|
| 583 |
-
f"({bound_components}); shortfall={shortfall:.6g}, tol={tol_obj_lo:.6g}"
|
| 584 |
-
),
|
| 585 |
-
'lhs': float(obj_lower),
|
| 586 |
-
'rhs': float(reported),
|
| 587 |
-
'raw_excess': float(shortfall),
|
| 588 |
-
'normalizer': float(normalizer),
|
| 589 |
-
'ratio': float(ratio),
|
| 590 |
-
})
|
| 591 |
-
|
| 592 |
-
if overshoot > tol_obj_hi:
|
| 593 |
-
normalizer = max(abs(obj_upper), eps)
|
| 594 |
-
ratio = overshoot / normalizer
|
| 595 |
-
violated_set.add(23)
|
| 596 |
-
violations_list.append({
|
| 597 |
-
'constraint': 23,
|
| 598 |
-
'msg': (
|
| 599 |
-
f"Constraint 23 (Objective consistency): reported objective_value="
|
| 600 |
-
f"{reported:.6f} exceeds worst-case upper bound obj_upper={obj_upper:.6f} "
|
| 601 |
-
f"(setup={setup:.4f}, transp={transp:.4f}, prod_max={prod_upper:.4f}, "
|
| 602 |
-
f"unmet_max={unmet_upper:.4f}, hold_max={hold_upper:.4f}); "
|
| 603 |
-
f"overshoot={overshoot:.6g}, tol={tol_obj_hi:.6g}"
|
| 604 |
-
),
|
| 605 |
-
'lhs': float(reported),
|
| 606 |
-
'rhs': float(obj_upper),
|
| 607 |
-
'raw_excess': float(overshoot),
|
| 608 |
-
'normalizer': float(normalizer),
|
| 609 |
-
'ratio': float(ratio),
|
| 610 |
-
})
|
| 611 |
-
|
| 612 |
-
# =====================================================================
|
| 613 |
-
# Aggregate results
|
| 614 |
-
# =====================================================================
|
| 615 |
-
# Build unique violation messages per constraint
|
| 616 |
-
msg_per_constraint = defaultdict(list)
|
| 617 |
-
for v in violations_list:
|
| 618 |
-
msg_per_constraint[v['constraint']].append(v['msg'])
|
| 619 |
-
|
| 620 |
-
# Deduplicate messages: summarize if too many
|
| 621 |
-
final_messages = []
|
| 622 |
-
for c_idx in sorted(violated_set):
|
| 623 |
-
msgs = msg_per_constraint[c_idx]
|
| 624 |
-
if len(msgs) <= 3:
|
| 625 |
-
final_messages.extend(msgs)
|
| 626 |
-
else:
|
| 627 |
-
final_messages.append(msgs[0])
|
| 628 |
-
final_messages.append(f" ... and {len(msgs) - 1} more violations of Constraint {c_idx}")
|
| 629 |
-
|
| 630 |
-
# Build violation_magnitudes (all entries)
|
| 631 |
-
final_magnitudes = []
|
| 632 |
-
for v in violations_list:
|
| 633 |
-
final_magnitudes.append({
|
| 634 |
-
'constraint': v['constraint'],
|
| 635 |
-
'lhs': v['lhs'],
|
| 636 |
-
'rhs': v['rhs'],
|
| 637 |
-
'raw_excess': v['raw_excess'],
|
| 638 |
-
'normalizer': v['normalizer'],
|
| 639 |
-
'ratio': v['ratio'],
|
| 640 |
-
})
|
| 641 |
-
|
| 642 |
-
result = {
|
| 643 |
-
'feasible': len(violated_set) == 0,
|
| 644 |
-
'violated_constraints': sorted(violated_set),
|
| 645 |
-
'violations': final_messages,
|
| 646 |
-
'violation_magnitudes': final_magnitudes,
|
| 647 |
-
}
|
| 648 |
-
return result
|
| 649 |
-
|
| 650 |
-
|
| 651 |
-
def main():
|
| 652 |
-
parser = argparse.ArgumentParser(
|
| 653 |
-
description="Feasibility checker for the Stochastic Production Routing Problem"
|
| 654 |
-
)
|
| 655 |
-
parser.add_argument('--instance_path', type=str, required=True,
|
| 656 |
-
help="Path to JSON instance file")
|
| 657 |
-
parser.add_argument('--solution_path', type=str, required=True,
|
| 658 |
-
help="Path to JSON solution file")
|
| 659 |
-
parser.add_argument('--result_path', type=str, required=True,
|
| 660 |
-
help="Path to write JSON feasibility result")
|
| 661 |
-
args = parser.parse_args()
|
| 662 |
-
|
| 663 |
-
with open(args.instance_path) as f:
|
| 664 |
-
data = json.load(f)
|
| 665 |
-
with open(args.solution_path) as f:
|
| 666 |
-
sol = json.load(f)
|
| 667 |
-
|
| 668 |
-
result = check_feasibility(data, sol)
|
| 669 |
-
|
| 670 |
-
with open(args.result_path, 'w') as f:
|
| 671 |
-
json.dump(result, f, indent=2)
|
| 672 |
-
|
| 673 |
-
if result['feasible']:
|
| 674 |
-
print("FEASIBLE: All hard constraints satisfied.")
|
| 675 |
-
else:
|
| 676 |
-
print(f"INFEASIBLE: {len(result['violated_constraints'])} constraint(s) violated: "
|
| 677 |
-
f"{result['violated_constraints']}")
|
| 678 |
-
for msg in result['violations']:
|
| 679 |
-
print(f" - {msg}")
|
| 680 |
-
|
| 681 |
-
|
| 682 |
-
if __name__ == '__main__':
|
| 683 |
-
main()
|
|
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|
adulyasak2015/gurobi_code.py
DELETED
|
@@ -1,366 +0,0 @@
|
|
| 1 |
-
"""
|
| 2 |
-
Gurobi implementation of the Two-Stage Stochastic Production Routing Problem (2-SPRP).
|
| 3 |
-
Model (1)-(19): 2-BF (Two-Stage Base Formulation).
|
| 4 |
-
Reference: Adulyasak, Cordeau, Jans (2015), Operations Research.
|
| 5 |
-
"""
|
| 6 |
-
import argparse
|
| 7 |
-
import json
|
| 8 |
-
import math
|
| 9 |
-
import gurobipy as gp
|
| 10 |
-
from gurobipy import GRB
|
| 11 |
-
import os as _os, sys as _sys
|
| 12 |
-
# Walk up from this file's directory to find repo root (containing scripts/).
|
| 13 |
-
_repo = _os.path.dirname(_os.path.abspath(__file__))
|
| 14 |
-
while _repo != _os.path.dirname(_repo) and not _os.path.isdir(_os.path.join(_repo, 'scripts', 'utils')):
|
| 15 |
-
_repo = _os.path.dirname(_repo)
|
| 16 |
-
if _os.path.isdir(_os.path.join(_repo, 'scripts', 'utils')):
|
| 17 |
-
_sys.path.insert(0, _repo)
|
| 18 |
-
try:
|
| 19 |
-
from scripts.utils.gurobi_log_helper import install_gurobi_logger
|
| 20 |
-
except ImportError:
|
| 21 |
-
def install_gurobi_logger(log_path): # no-op fallback when scripts/ unavailable
|
| 22 |
-
pass
|
| 23 |
-
|
| 24 |
-
|
| 25 |
-
def load_instance(path):
|
| 26 |
-
with open(path) as f:
|
| 27 |
-
return json.load(f)
|
| 28 |
-
|
| 29 |
-
|
| 30 |
-
def solve(instance_path, solution_path, time_limit):
|
| 31 |
-
data = load_instance(instance_path)
|
| 32 |
-
|
| 33 |
-
n = data['n'] # number of customers
|
| 34 |
-
T = data['T'] # number of periods
|
| 35 |
-
m = data['m'] # number of vehicles
|
| 36 |
-
Q = data['Q'] # vehicle capacity
|
| 37 |
-
C = data['C'] # production capacity per period
|
| 38 |
-
f_cost = data['f'] # fixed production setup cost
|
| 39 |
-
u = data['u'] # unit production cost
|
| 40 |
-
h = data['h'] # holding costs, h[0]=plant, h[1..n]=customers
|
| 41 |
-
L = data['L'] # inventory capacities, L[0]=plant, L[1..n]=customers
|
| 42 |
-
I0 = data['I0'] # initial inventories
|
| 43 |
-
sigma = data['sigma'] # penalty costs for customers (list of length n)
|
| 44 |
-
c = data['transportation_costs'] # c[i][j], i,j in 0..n
|
| 45 |
-
rho = data['scenario_probabilities'] # rho[omega]
|
| 46 |
-
demand_sc = data['demand_scenarios'] # demand_sc[omega][cust_idx][period_idx] (0-indexed)
|
| 47 |
-
n_omega = data['n_scenarios']
|
| 48 |
-
|
| 49 |
-
# Index sets (1-indexed periods, vehicles; 0-indexed customers shifted by 1)
|
| 50 |
-
Nc = list(range(1, n + 1)) # customers
|
| 51 |
-
N = list(range(0, n + 1)) # all nodes (0=plant)
|
| 52 |
-
periods = list(range(1, T + 1))
|
| 53 |
-
vehicles = list(range(1, m + 1))
|
| 54 |
-
scenarios = list(range(n_omega))
|
| 55 |
-
|
| 56 |
-
# All undirected edges (i<j)
|
| 57 |
-
edges = [(i, j) for i in N for j in N if i < j]
|
| 58 |
-
edges_Nc = [(i, j) for i in Nc for j in Nc if i < j]
|
| 59 |
-
|
| 60 |
-
def d(omega, i, t):
|
| 61 |
-
"""Demand of customer i (1-indexed) in period t (1-indexed) under scenario omega."""
|
| 62 |
-
return demand_sc[omega][i - 1][t - 1]
|
| 63 |
-
|
| 64 |
-
def M_t(t, omega):
|
| 65 |
-
"""M_{t,omega} = min{C, Q, sum_{s>=t, i in Nc} d_{is,omega}}"""
|
| 66 |
-
rem = sum(d(omega, i, s) for i in Nc for s in range(t, T + 1))
|
| 67 |
-
return min(C, Q, rem)
|
| 68 |
-
|
| 69 |
-
def M_prime(i, t, omega):
|
| 70 |
-
"""M'_{it,omega} = min{L_i, Q, sum_{s>=t} d_{is,omega}}"""
|
| 71 |
-
rem = sum(d(omega, i, s) for s in range(t, T + 1))
|
| 72 |
-
return min(L[i], Q, rem)
|
| 73 |
-
|
| 74 |
-
# ----------------------------------------------------------------
|
| 75 |
-
model = gp.Model("2SPRP_2BF")
|
| 76 |
-
model.setParam("Threads", 1)
|
| 77 |
-
model.setParam("TimeLimit", time_limit)
|
| 78 |
-
model.setParam("LazyConstraints", 1)
|
| 79 |
-
|
| 80 |
-
# --- First-stage variables ---
|
| 81 |
-
y = {t: model.addVar(vtype=GRB.BINARY, name=f"y_{t}") for t in periods}
|
| 82 |
-
|
| 83 |
-
z = {}
|
| 84 |
-
for i in N:
|
| 85 |
-
for k in vehicles:
|
| 86 |
-
for t in periods:
|
| 87 |
-
z[i, k, t] = model.addVar(vtype=GRB.BINARY, name=f"z_{i}_{k}_{t}")
|
| 88 |
-
|
| 89 |
-
x = {}
|
| 90 |
-
for (i, j) in edges:
|
| 91 |
-
for k in vehicles:
|
| 92 |
-
for t in periods:
|
| 93 |
-
if i == 0:
|
| 94 |
-
# Depot edge: can be traversed 0,1,2 times (out-and-back)
|
| 95 |
-
x[i, j, k, t] = model.addVar(vtype=GRB.INTEGER, lb=0, ub=2,
|
| 96 |
-
name=f"x_{i}_{j}_{k}_{t}")
|
| 97 |
-
else:
|
| 98 |
-
x[i, j, k, t] = model.addVar(vtype=GRB.BINARY,
|
| 99 |
-
name=f"x_{i}_{j}_{k}_{t}")
|
| 100 |
-
|
| 101 |
-
# --- Second-stage variables ---
|
| 102 |
-
p = {}
|
| 103 |
-
I_var = {}
|
| 104 |
-
q_var = {}
|
| 105 |
-
e_var = {}
|
| 106 |
-
|
| 107 |
-
for omega in scenarios:
|
| 108 |
-
for t in periods:
|
| 109 |
-
p[t, omega] = model.addVar(lb=0.0, name=f"p_{t}_{omega}")
|
| 110 |
-
for i in N:
|
| 111 |
-
for t in periods:
|
| 112 |
-
I_var[i, t, omega] = model.addVar(lb=0.0, name=f"I_{i}_{t}_{omega}")
|
| 113 |
-
for i in Nc:
|
| 114 |
-
for t in periods:
|
| 115 |
-
e_var[i, t, omega] = model.addVar(lb=0.0, name=f"e_{i}_{t}_{omega}")
|
| 116 |
-
for k in vehicles:
|
| 117 |
-
for t in periods:
|
| 118 |
-
q_var[i, k, t, omega] = model.addVar(lb=0.0, name=f"q_{i}_{k}_{t}_{omega}")
|
| 119 |
-
|
| 120 |
-
model.update()
|
| 121 |
-
|
| 122 |
-
# --- Objective (1) ---
|
| 123 |
-
routing_cost = gp.quicksum(
|
| 124 |
-
c[i][j] * x[i, j, k, t]
|
| 125 |
-
for (i, j) in edges for k in vehicles for t in periods
|
| 126 |
-
)
|
| 127 |
-
setup_cost = gp.quicksum(f_cost * y[t] for t in periods)
|
| 128 |
-
|
| 129 |
-
second_stage = gp.quicksum(
|
| 130 |
-
rho[omega] * (
|
| 131 |
-
gp.quicksum(u * p[t, omega] for t in periods)
|
| 132 |
-
+ gp.quicksum(h[i] * I_var[i, t, omega] for i in N for t in periods)
|
| 133 |
-
+ gp.quicksum(sigma[i - 1] * e_var[i, t, omega] for i in Nc for t in periods)
|
| 134 |
-
)
|
| 135 |
-
for omega in scenarios
|
| 136 |
-
)
|
| 137 |
-
|
| 138 |
-
model.setObjective(setup_cost + routing_cost + second_stage, GRB.MINIMIZE)
|
| 139 |
-
|
| 140 |
-
# --- Constraint (2): Plant inventory balance ---
|
| 141 |
-
for t in periods:
|
| 142 |
-
for omega in scenarios:
|
| 143 |
-
I_prev = I0[0] if t == 1 else I_var[0, t - 1, omega]
|
| 144 |
-
model.addConstr(
|
| 145 |
-
I_prev + p[t, omega]
|
| 146 |
-
== gp.quicksum(q_var[i, k, t, omega] for i in Nc for k in vehicles)
|
| 147 |
-
+ I_var[0, t, omega],
|
| 148 |
-
name=f"plant_bal_{t}_{omega}"
|
| 149 |
-
)
|
| 150 |
-
|
| 151 |
-
# --- Constraint (3): Customer inventory balance ---
|
| 152 |
-
for i in Nc:
|
| 153 |
-
for t in periods:
|
| 154 |
-
for omega in scenarios:
|
| 155 |
-
I_prev = I0[i] if t == 1 else I_var[i, t - 1, omega]
|
| 156 |
-
model.addConstr(
|
| 157 |
-
I_prev + gp.quicksum(q_var[i, k, t, omega] for k in vehicles)
|
| 158 |
-
+ e_var[i, t, omega]
|
| 159 |
-
== d(omega, i, t) + I_var[i, t, omega],
|
| 160 |
-
name=f"cust_bal_{i}_{t}_{omega}"
|
| 161 |
-
)
|
| 162 |
-
|
| 163 |
-
# --- Constraint (4): Max plant inventory ---
|
| 164 |
-
for t in periods:
|
| 165 |
-
for omega in scenarios:
|
| 166 |
-
model.addConstr(I_var[0, t, omega] <= L[0], name=f"plant_inv_{t}_{omega}")
|
| 167 |
-
|
| 168 |
-
# --- Constraint (5): Max customer inventory ---
|
| 169 |
-
for i in Nc:
|
| 170 |
-
for t in periods:
|
| 171 |
-
for omega in scenarios:
|
| 172 |
-
model.addConstr(
|
| 173 |
-
I_var[i, t, omega] + d(omega, i, t) <= L[i],
|
| 174 |
-
name=f"cust_inv_{i}_{t}_{omega}"
|
| 175 |
-
)
|
| 176 |
-
|
| 177 |
-
# --- Constraint (6): Production capacity ---
|
| 178 |
-
for t in periods:
|
| 179 |
-
for omega in scenarios:
|
| 180 |
-
model.addConstr(
|
| 181 |
-
p[t, omega] <= M_t(t, omega) * y[t],
|
| 182 |
-
name=f"prod_cap_{t}_{omega}"
|
| 183 |
-
)
|
| 184 |
-
|
| 185 |
-
# --- Constraint (7): Vehicle load capacity ---
|
| 186 |
-
for k in vehicles:
|
| 187 |
-
for t in periods:
|
| 188 |
-
for omega in scenarios:
|
| 189 |
-
model.addConstr(
|
| 190 |
-
gp.quicksum(q_var[i, k, t, omega] for i in Nc) <= Q * z[0, k, t],
|
| 191 |
-
name=f"veh_load_{k}_{t}_{omega}"
|
| 192 |
-
)
|
| 193 |
-
|
| 194 |
-
# --- Constraint (8): Delivery only if customer visited ---
|
| 195 |
-
for i in Nc:
|
| 196 |
-
for k in vehicles:
|
| 197 |
-
for t in periods:
|
| 198 |
-
for omega in scenarios:
|
| 199 |
-
model.addConstr(
|
| 200 |
-
q_var[i, k, t, omega] <= M_prime(i, t, omega) * z[i, k, t],
|
| 201 |
-
name=f"del_cap_{i}_{k}_{t}_{omega}"
|
| 202 |
-
)
|
| 203 |
-
|
| 204 |
-
# --- Constraint (9): Each customer visited at most once per period ---
|
| 205 |
-
for i in Nc:
|
| 206 |
-
for t in periods:
|
| 207 |
-
model.addConstr(
|
| 208 |
-
gp.quicksum(z[i, k, t] for k in vehicles) <= 1,
|
| 209 |
-
name=f"visit_{i}_{t}"
|
| 210 |
-
)
|
| 211 |
-
|
| 212 |
-
# --- Constraint (10): Degree constraints ---
|
| 213 |
-
for i in N:
|
| 214 |
-
for k in vehicles:
|
| 215 |
-
for t in periods:
|
| 216 |
-
inc = [(a, b) for (a, b) in edges if a == i or b == i]
|
| 217 |
-
model.addConstr(
|
| 218 |
-
gp.quicksum(x[a, b, k, t] for (a, b) in inc) == 2 * z[i, k, t],
|
| 219 |
-
name=f"degree_{i}_{k}_{t}"
|
| 220 |
-
)
|
| 221 |
-
|
| 222 |
-
# --- Valid inequality (16): z_{ikt} <= z_{0kt} ---
|
| 223 |
-
for i in Nc:
|
| 224 |
-
for k in vehicles:
|
| 225 |
-
for t in periods:
|
| 226 |
-
model.addConstr(z[i, k, t] <= z[0, k, t], name=f"dispatch_{i}_{k}_{t}")
|
| 227 |
-
|
| 228 |
-
# --- Valid inequality (17): edge implies both endpoints visited ---
|
| 229 |
-
for (i, j) in edges_Nc:
|
| 230 |
-
for k in vehicles:
|
| 231 |
-
for t in periods:
|
| 232 |
-
model.addConstr(x[i, j, k, t] <= z[i, k, t], name=f"ev_i_{i}_{j}_{k}_{t}")
|
| 233 |
-
model.addConstr(x[i, j, k, t] <= z[j, k, t], name=f"ev_j_{i}_{j}_{k}_{t}")
|
| 234 |
-
|
| 235 |
-
# --- Valid inequalities (18)-(19): symmetry breaking for multiple vehicles ---
|
| 236 |
-
if m > 1:
|
| 237 |
-
for k in range(1, m):
|
| 238 |
-
for t in periods:
|
| 239 |
-
model.addConstr(z[0, k, t] >= z[0, k + 1, t], name=f"sym_use_{k}_{t}")
|
| 240 |
-
for j_node in Nc:
|
| 241 |
-
for k in range(1, m):
|
| 242 |
-
for t in periods:
|
| 243 |
-
model.addConstr(
|
| 244 |
-
gp.quicksum(2 ** (j_node - i) * z[i, k, t] for i in range(1, j_node + 1))
|
| 245 |
-
>= gp.quicksum(2 ** (j_node - i) * z[i, k + 1, t] for i in range(1, j_node + 1)),
|
| 246 |
-
name=f"lex_{j_node}_{k}_{t}"
|
| 247 |
-
)
|
| 248 |
-
|
| 249 |
-
# --- Lazy SEC callback (constraint 11) ---
|
| 250 |
-
def find_subtours(x_val, z_val, k, t):
|
| 251 |
-
"""Find customer-only subtours (not connected to depot) in solution."""
|
| 252 |
-
visited = [i for i in Nc if z_val.get((i, k, t), 0) > 0.5]
|
| 253 |
-
if len(visited) < 2:
|
| 254 |
-
return []
|
| 255 |
-
|
| 256 |
-
# Build adjacency among visited customers
|
| 257 |
-
adj = {i: [] for i in visited}
|
| 258 |
-
for (a, b) in edges_Nc:
|
| 259 |
-
if a in visited and b in visited:
|
| 260 |
-
val = x_val.get((a, b, k, t), 0)
|
| 261 |
-
if val > 0.5:
|
| 262 |
-
adj[a].append(b)
|
| 263 |
-
adj[b].append(a)
|
| 264 |
-
|
| 265 |
-
# Find connected components (ignoring depot)
|
| 266 |
-
seen = set()
|
| 267 |
-
components = []
|
| 268 |
-
for start in visited:
|
| 269 |
-
if start not in seen:
|
| 270 |
-
comp = []
|
| 271 |
-
stack = [start]
|
| 272 |
-
while stack:
|
| 273 |
-
node = stack.pop()
|
| 274 |
-
if node not in seen:
|
| 275 |
-
seen.add(node)
|
| 276 |
-
comp.append(node)
|
| 277 |
-
for nb in adj.get(node, []):
|
| 278 |
-
if nb not in seen:
|
| 279 |
-
stack.append(nb)
|
| 280 |
-
components.append(comp)
|
| 281 |
-
# Only components not connected to depot are subtours
|
| 282 |
-
# Check depot connectivity
|
| 283 |
-
depot_neighbors = set()
|
| 284 |
-
for (a, b) in edges:
|
| 285 |
-
if a == 0 and b in visited and x_val.get((a, b, k, t), 0) > 0.5:
|
| 286 |
-
depot_neighbors.add(b)
|
| 287 |
-
elif b == 0 and a in visited and x_val.get((a, b, k, t), 0) > 0.5:
|
| 288 |
-
depot_neighbors.add(a)
|
| 289 |
-
|
| 290 |
-
subtours = []
|
| 291 |
-
for comp in components:
|
| 292 |
-
if not any(v in depot_neighbors for v in comp):
|
| 293 |
-
subtours.append(comp)
|
| 294 |
-
return subtours
|
| 295 |
-
|
| 296 |
-
def callback(model, where):
|
| 297 |
-
if where == GRB.Callback.MIPSOL:
|
| 298 |
-
x_vals = {key: model.cbGetSolution(x[key]) for key in x}
|
| 299 |
-
z_vals = {key: model.cbGetSolution(z[key]) for key in z}
|
| 300 |
-
|
| 301 |
-
for k in vehicles:
|
| 302 |
-
for t in periods:
|
| 303 |
-
subtours = find_subtours(x_vals, z_vals, k, t)
|
| 304 |
-
for comp in subtours:
|
| 305 |
-
S = set(comp)
|
| 306 |
-
E_S = [(a, b) for (a, b) in edges if a in S and b in S]
|
| 307 |
-
e_node = comp[0]
|
| 308 |
-
model.cbLazy(
|
| 309 |
-
gp.quicksum(x[a, b, k, t] for (a, b) in E_S)
|
| 310 |
-
<= gp.quicksum(z[i, k, t] for i in S) - z[e_node, k, t]
|
| 311 |
-
)
|
| 312 |
-
|
| 313 |
-
model.optimize(callback)
|
| 314 |
-
|
| 315 |
-
# --- Extract and write solution ---
|
| 316 |
-
result = {"objective_value": None}
|
| 317 |
-
|
| 318 |
-
if model.SolCount > 0:
|
| 319 |
-
result["objective_value"] = model.ObjVal
|
| 320 |
-
result["gap"] = model.MIPGap
|
| 321 |
-
result["status"] = model.Status
|
| 322 |
-
|
| 323 |
-
y_sol = {str(t): round(y[t].X) for t in periods}
|
| 324 |
-
result["y"] = y_sol
|
| 325 |
-
|
| 326 |
-
z_sol = {}
|
| 327 |
-
for i in N:
|
| 328 |
-
for k in vehicles:
|
| 329 |
-
for t in periods:
|
| 330 |
-
v = z[i, k, t].X
|
| 331 |
-
if v > 0.5:
|
| 332 |
-
z_sol[f"{i}_{k}_{t}"] = 1
|
| 333 |
-
result["z"] = z_sol
|
| 334 |
-
|
| 335 |
-
x_sol = {}
|
| 336 |
-
for (i, j) in edges:
|
| 337 |
-
for k in vehicles:
|
| 338 |
-
for t in periods:
|
| 339 |
-
v = x[i, j, k, t].X
|
| 340 |
-
if v > 0.5:
|
| 341 |
-
x_sol[f"{i}_{j}_{k}_{t}"] = round(v)
|
| 342 |
-
result["x"] = x_sol
|
| 343 |
-
|
| 344 |
-
with open(solution_path, 'w') as fp:
|
| 345 |
-
json.dump(result, fp, indent=2)
|
| 346 |
-
|
| 347 |
-
print(f"Objective value: {result['objective_value']}")
|
| 348 |
-
return result
|
| 349 |
-
|
| 350 |
-
|
| 351 |
-
def main():
|
| 352 |
-
parser = argparse.ArgumentParser(description="Solve 2-SPRP with Gurobi (2-BF formulation)")
|
| 353 |
-
parser.add_argument("--instance_path", type=str, required=True,
|
| 354 |
-
help="Path to JSON instance file")
|
| 355 |
-
parser.add_argument("--solution_path", type=str, required=True,
|
| 356 |
-
help="Path to write solution JSON")
|
| 357 |
-
parser.add_argument("--time_limit", type=int, default=3600,
|
| 358 |
-
help="Solver time limit in seconds")
|
| 359 |
-
parser.add_argument("--log_path", type=str, default=None, help="Path to log incumbent solutions")
|
| 360 |
-
args = parser.parse_args()
|
| 361 |
-
install_gurobi_logger(args.log_path)
|
| 362 |
-
solve(args.instance_path, args.solution_path, args.time_limit)
|
| 363 |
-
|
| 364 |
-
|
| 365 |
-
if __name__ == "__main__":
|
| 366 |
-
main()
|
|
|
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|
adulyasak2015/gurobi_feasi_result/large_feasi_result_1.json
DELETED
|
@@ -1,6 +0,0 @@
|
|
| 1 |
-
{
|
| 2 |
-
"feasible": true,
|
| 3 |
-
"violated_constraints": [],
|
| 4 |
-
"violations": [],
|
| 5 |
-
"violation_magnitudes": []
|
| 6 |
-
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
adulyasak2015/gurobi_feasi_result/large_feasi_result_2.json
DELETED
|
@@ -1,6 +0,0 @@
|
|
| 1 |
-
{
|
| 2 |
-
"feasible": true,
|
| 3 |
-
"violated_constraints": [],
|
| 4 |
-
"violations": [],
|
| 5 |
-
"violation_magnitudes": []
|
| 6 |
-
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
adulyasak2015/gurobi_feasi_result/large_feasi_result_3.json
DELETED
|
@@ -1,6 +0,0 @@
|
|
| 1 |
-
{
|
| 2 |
-
"feasible": true,
|
| 3 |
-
"violated_constraints": [],
|
| 4 |
-
"violations": [],
|
| 5 |
-
"violation_magnitudes": []
|
| 6 |
-
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
adulyasak2015/gurobi_feasi_result/large_feasi_result_4.json
DELETED
|
@@ -1,6 +0,0 @@
|
|
| 1 |
-
{
|
| 2 |
-
"feasible": true,
|
| 3 |
-
"violated_constraints": [],
|
| 4 |
-
"violations": [],
|
| 5 |
-
"violation_magnitudes": []
|
| 6 |
-
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
adulyasak2015/gurobi_feasi_result/large_feasi_result_5.json
DELETED
|
@@ -1,6 +0,0 @@
|
|
| 1 |
-
{
|
| 2 |
-
"feasible": true,
|
| 3 |
-
"violated_constraints": [],
|
| 4 |
-
"violations": [],
|
| 5 |
-
"violation_magnitudes": []
|
| 6 |
-
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
adulyasak2015/gurobi_feasi_result/tiny_feasi_result.json
DELETED
|
@@ -1,6 +0,0 @@
|
|
| 1 |
-
{
|
| 2 |
-
"feasible": true,
|
| 3 |
-
"violated_constraints": [],
|
| 4 |
-
"violations": [],
|
| 5 |
-
"violation_magnitudes": []
|
| 6 |
-
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
adulyasak2015/gurobi_solution/large_solution_1.json
DELETED
|
@@ -1,45 +0,0 @@
|
|
| 1 |
-
{
|
| 2 |
-
"objective_value": 24264.431698905697,
|
| 3 |
-
"gap": 0.2828023453586586,
|
| 4 |
-
"status": 9,
|
| 5 |
-
"y": {
|
| 6 |
-
"1": 1,
|
| 7 |
-
"2": 1,
|
| 8 |
-
"3": 1,
|
| 9 |
-
"4": 1,
|
| 10 |
-
"5": 1,
|
| 11 |
-
"6": 1
|
| 12 |
-
},
|
| 13 |
-
"z": {
|
| 14 |
-
"0_1_1": 1,
|
| 15 |
-
"0_1_2": 1,
|
| 16 |
-
"0_1_3": 1,
|
| 17 |
-
"0_1_4": 1,
|
| 18 |
-
"0_1_5": 1,
|
| 19 |
-
"0_1_6": 1,
|
| 20 |
-
"1_1_6": 1,
|
| 21 |
-
"6_1_6": 1,
|
| 22 |
-
"10_1_1": 1,
|
| 23 |
-
"10_1_2": 1,
|
| 24 |
-
"10_1_3": 1,
|
| 25 |
-
"12_1_5": 1,
|
| 26 |
-
"17_1_5": 1,
|
| 27 |
-
"20_1_5": 1,
|
| 28 |
-
"21_1_6": 1,
|
| 29 |
-
"28_1_4": 1
|
| 30 |
-
},
|
| 31 |
-
"x": {
|
| 32 |
-
"0_6_1_6": 1,
|
| 33 |
-
"0_10_1_1": 2,
|
| 34 |
-
"0_10_1_2": 2,
|
| 35 |
-
"0_10_1_3": 2,
|
| 36 |
-
"0_12_1_5": 1,
|
| 37 |
-
"0_17_1_5": 1,
|
| 38 |
-
"0_21_1_6": 1,
|
| 39 |
-
"0_28_1_4": 2,
|
| 40 |
-
"1_6_1_6": 1,
|
| 41 |
-
"1_21_1_6": 1,
|
| 42 |
-
"12_20_1_5": 1,
|
| 43 |
-
"17_20_1_5": 1
|
| 44 |
-
}
|
| 45 |
-
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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adulyasak2015/instance/tiny_instance.json
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| 1829 |
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| 1830 |
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| 1832 |
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| 1837 |
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| 1838 |
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| 1839 |
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| 1840 |
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8.379885,
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| 1841 |
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22.964219
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| 1842 |
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| 1843 |
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| 1845 |
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| 1846 |
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| 1847 |
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26.472345,
|
| 1848 |
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12.550735
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| 1849 |
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| 1850 |
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|
| 1851 |
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11.078081,
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21.199281,
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| 1853 |
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| 1854 |
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| 1855 |
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| 1856 |
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22.241061,
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| 1857 |
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17.946678,
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| 1858 |
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24.954553
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| 1859 |
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| 1860 |
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|
| 1861 |
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| 1862 |
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16.307295,
|
| 1863 |
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30.598517
|
| 1864 |
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|
| 1865 |
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[
|
| 1866 |
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6.169406,
|
| 1867 |
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9.075395,
|
| 1868 |
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22.303259
|
| 1869 |
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|
| 1870 |
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|
| 1871 |
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|
| 1872 |
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[
|
| 1873 |
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21.731897,
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| 1874 |
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29.15317,
|
| 1875 |
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12.105287
|
| 1876 |
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|
| 1877 |
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[
|
| 1878 |
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11.781195,
|
| 1879 |
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19.527208,
|
| 1880 |
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7.340131
|
| 1881 |
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|
| 1882 |
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[
|
| 1883 |
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17.859383,
|
| 1884 |
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24.116539,
|
| 1885 |
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21.75072
|
| 1886 |
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|
| 1887 |
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[
|
| 1888 |
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12.233674,
|
| 1889 |
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22.389818,
|
| 1890 |
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33.893136
|
| 1891 |
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|
| 1892 |
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[
|
| 1893 |
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6.517186,
|
| 1894 |
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6.972547,
|
| 1895 |
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21.168673
|
| 1896 |
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]
|
| 1897 |
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|
| 1898 |
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[
|
| 1899 |
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[
|
| 1900 |
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16.070612,
|
| 1901 |
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26.610855,
|
| 1902 |
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12.999014
|
| 1903 |
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|
| 1904 |
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[
|
| 1905 |
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8.586027,
|
| 1906 |
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21.772366,
|
| 1907 |
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6.775104
|
| 1908 |
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|
| 1909 |
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[
|
| 1910 |
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16.141978,
|
| 1911 |
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24.80184,
|
| 1912 |
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24.416182
|
| 1913 |
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|
| 1914 |
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[
|
| 1915 |
-
9.400123,
|
| 1916 |
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19.318365,
|
| 1917 |
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31.183907
|
| 1918 |
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|
| 1919 |
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[
|
| 1920 |
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5.72339,
|
| 1921 |
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6.439462,
|
| 1922 |
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27.423984
|
| 1923 |
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]
|
| 1924 |
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|
| 1925 |
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[
|
| 1926 |
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[
|
| 1927 |
-
21.350728,
|
| 1928 |
-
27.810925,
|
| 1929 |
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11.690532
|
| 1930 |
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|
| 1931 |
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[
|
| 1932 |
-
8.643996,
|
| 1933 |
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21.059023,
|
| 1934 |
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5.803133
|
| 1935 |
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|
| 1936 |
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[
|
| 1937 |
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19.329416,
|
| 1938 |
-
16.862469,
|
| 1939 |
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29.267488
|
| 1940 |
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],
|
| 1941 |
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[
|
| 1942 |
-
9.509681,
|
| 1943 |
-
21.257178,
|
| 1944 |
-
35.391936
|
| 1945 |
-
],
|
| 1946 |
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[
|
| 1947 |
-
5.027698,
|
| 1948 |
-
9.375805,
|
| 1949 |
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24.679713
|
| 1950 |
-
]
|
| 1951 |
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|
| 1952 |
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[
|
| 1953 |
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[
|
| 1954 |
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23.042095,
|
| 1955 |
-
29.939863,
|
| 1956 |
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10.886996
|
| 1957 |
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|
| 1958 |
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[
|
| 1959 |
-
8.984101,
|
| 1960 |
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19.759562,
|
| 1961 |
-
7.61178
|
| 1962 |
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|
| 1963 |
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[
|
| 1964 |
-
20.51785,
|
| 1965 |
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20.050035,
|
| 1966 |
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28.368249
|
| 1967 |
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|
| 1968 |
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[
|
| 1969 |
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11.826777,
|
| 1970 |
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16.792745,
|
| 1971 |
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26.005198
|
| 1972 |
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],
|
| 1973 |
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[
|
| 1974 |
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7.111496,
|
| 1975 |
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7.371176,
|
| 1976 |
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20.289779
|
| 1977 |
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]
|
| 1978 |
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],
|
| 1979 |
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[
|
| 1980 |
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[
|
| 1981 |
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17.097606,
|
| 1982 |
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27.226625,
|
| 1983 |
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11.088727
|
| 1984 |
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|
| 1985 |
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[
|
| 1986 |
-
8.318667,
|
| 1987 |
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21.687658,
|
| 1988 |
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6.230433
|
| 1989 |
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|
| 1990 |
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[
|
| 1991 |
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19.903815,
|
| 1992 |
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21.937779,
|
| 1993 |
-
21.940945
|
| 1994 |
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|
| 1995 |
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[
|
| 1996 |
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11.466929,
|
| 1997 |
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15.68291,
|
| 1998 |
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33.836777
|
| 1999 |
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],
|
| 2000 |
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[
|
| 2001 |
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5.679201,
|
| 2002 |
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7.344124,
|
| 2003 |
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28.239204
|
| 2004 |
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]
|
| 2005 |
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],
|
| 2006 |
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[
|
| 2007 |
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[
|
| 2008 |
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20.421959,
|
| 2009 |
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25.061278,
|
| 2010 |
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10.259101
|
| 2011 |
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],
|
| 2012 |
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[
|
| 2013 |
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11.558603,
|
| 2014 |
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22.721798,
|
| 2015 |
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6.843921
|
| 2016 |
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| 2017 |
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[
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| 2018 |
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20.294698,
|
| 2019 |
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25.043254,
|
| 2020 |
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27.213448
|
| 2021 |
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| 2022 |
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| 2023 |
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10.602273,
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| 2024 |
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22.472576,
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| 2025 |
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33.640153
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| 2026 |
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| 2028 |
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6.101966,
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| 2029 |
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7.622375,
|
| 2030 |
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23.506266
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| 2031 |
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| 2034 |
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| 2062 |
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| 2067 |
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| 2116 |
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|
adulyasak2015/instance_schema.json
DELETED
|
@@ -1,21 +0,0 @@
|
|
| 1 |
-
{
|
| 2 |
-
"n": "<int> Number of customers to be served.",
|
| 3 |
-
"T": "<int> Number of time periods in the planning horizon.",
|
| 4 |
-
"m": "<int> Number of identical vehicles available at the plant.",
|
| 5 |
-
"Q": "<int> Maximum load capacity of each vehicle.",
|
| 6 |
-
"C": "<int> Maximum production quantity at the plant per period.",
|
| 7 |
-
"f": "<float> Fixed cost incurred whenever production takes place in a period.",
|
| 8 |
-
"u": "<float> Cost per unit of product produced at the plant.",
|
| 9 |
-
"epsilon": "<float> Half-width of the demand uncertainty interval as a fraction of nominal demand.",
|
| 10 |
-
"alpha_hat": "<int> Multiplier used to compute the per-unit penalty cost for unmet customer demand.",
|
| 11 |
-
"coordinates": "<list[list[float]], shape [n+1][2]> Spatial coordinates of each node, where index 0 is the plant and indices 1 through n are customers.",
|
| 12 |
-
"transportation_costs": "<list[list[float]], shape [n+1][n+1]> Symmetric travel cost between each pair of nodes, where index 0 is the plant.",
|
| 13 |
-
"h": "<list[float], length n+1> Per-unit inventory holding cost at each node per period, where index 0 is the plant.",
|
| 14 |
-
"L": "<list[int], length n+1> Maximum inventory storage capacity at each node, where index 0 is the plant.",
|
| 15 |
-
"I0": "<list[int], length n+1> Inventory on hand at each node at the start of the planning horizon, where index 0 is the plant.",
|
| 16 |
-
"d_bar": "<list[list[int]], shape [n][T]> Nominal (expected) demand for each customer in each period.",
|
| 17 |
-
"sigma": "<list[float], length n> Per-unit penalty cost for unmet demand at each customer.",
|
| 18 |
-
"n_scenarios": "<int> Number of demand scenarios considered.",
|
| 19 |
-
"scenario_probabilities": "<list[float], length n_scenarios> Probability of each demand scenario being realized.",
|
| 20 |
-
"demand_scenarios": "<list[list[list[float]]], shape [n_scenarios][n][T]> Realized demand for each customer in each period under each scenario."
|
| 21 |
-
}
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|
adulyasak2015/mathematical_formulation.md
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# Original Formulation: Stochastic Production Routing Problem (SPRP)
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*Source: Benders Decomposition for Production Routing Under Demand Uncertainty, Yossiri Adulyasak, Jean-François Cordeau, Raf Jans, Operations Research, 2015.*
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The paper studies the Stochastic Production Routing Problem (SPRP). The canonical model below is the *two-stage SPRP formulation (2-BF)*, Model (1)–(19), introduced first in §2.2 as the definition of the problem; its notation $(x,y,z,p,I,q,e)$ is carried into every subsequent section. The multistage variant (M-BF, adding nonanticipativity constraints (20)–(23)) is given under Variants.
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## Sets and Indices
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$$\begin{align*}
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&\Omega && \text{finite set of demand scenarios, indexed by } \omega\\
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&G=(N,E) && \text{complete undirected graph}\\
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&N=\{0,\ldots,n\} && \text{set of nodes; node } 0 \text{ is the production plant}\\
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&N_c=N\setminus\{0\} && \text{set of customers}\\
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&E=\{(i,j): i,j\in N,\ i<j\} && \text{set of edges}\\
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&E(S) && \{(i,j)\in E : i,j\in S\},\ \text{for } S\subseteq N\\
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&\delta(S) && \{(i,j)\in E : i\in S,\ j\notin S,\ \text{or}\ i\notin S,\ j\in S\}\\
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&\delta(i) && \delta(\{i\}),\ \text{edges incident to node } i\\
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&T=\{1,\ldots,l\} && \text{set of time periods}\\
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&K=\{1,\ldots,m\} && \text{set of identical vehicles}
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\end{align*}$$
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## Parameters
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$$\begin{align*}
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&\rho_\omega && \text{probability of scenario } \omega\in\Omega\\
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&d_{it\omega} && \text{demand of customer } i \text{ in period } t \text{ under scenario } \omega\\
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&\sigma_i && \text{unit penalty cost for unmet demand at customer } i\\
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&L_i && \text{maximum inventory level at customer } i\\
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&L_0 && \text{maximum inventory level at the plant}\\
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&I_{i0} && \text{initial inventory at node } i\ (I_{00\omega}=I_0\ \forall\omega)\\
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&C && \text{production capacity per period}\\
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&u && \text{unit production cost}\\
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&f && \text{fixed production setup cost}\\
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&Q && \text{vehicle capacity}\\
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&c_{ij} && \text{transportation cost between nodes } i \text{ and } j\\
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&h_i && \text{unit inventory holding cost at node } i\\
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&M_{t\omega} && \min\Big\{C,\,Q,\,\textstyle\sum_{j=t}^{l}\sum_{i\in N_c} d_{ij\omega}\Big\}\\
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&M'_{it\omega} && \min\Big\{L_i,\,Q,\,\textstyle\sum_{j=t}^{l} d_{ij\omega}\Big\}
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\end{align*}$$
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## Decision Variables
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$$\begin{align*}
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&y_t\in\{0,1\} && 1 \text{ if production takes place in period } t\\
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&z_{ikt}\in\{0,1\} && 1 \text{ if node } i \text{ is visited by vehicle } k \text{ in period } t\\
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&x_{ijkt} && \text{number of times vehicle } k \text{ travels directly between } i \text{ and } j \text{ in period } t\\
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&p_{t\omega}\ge 0 && \text{production quantity in period } t \text{ under scenario } \omega\\
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&I_{it\omega}\ge 0 && \text{inventory at node } i \text{ at end of period } t \text{ under scenario } \omega\\
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&q_{ikt\omega}\ge 0 && \text{quantity delivered to customer } i \text{ by vehicle } k \text{ in period } t \text{ (scenario } \omega)\\
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&e_{it\omega}\ge 0 && \text{unmet demand at customer } i \text{ in period } t \text{ under scenario } \omega
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\end{align*}$$
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## Objective
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$$\begin{equation}
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\min \sum_{t\in T}\left( f\,y_t + \sum_{(i,j)\in E}\sum_{k\in K} c_{ij}\,x_{ijkt}
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+ \sum_{\omega\in\Omega} \rho_\omega\left( u\,p_{t\omega}
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+ \sum_{i\in N} h_i\,I_{it\omega}
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+ \sum_{i\in N_c} \sigma_i\,e_{it\omega} \right) \right)
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\tag{1}
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\end{equation}$$
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## Constraints
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$$\begin{align}
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& I_{0,t-1,\omega} + p_{t\omega}
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= \sum_{i\in N_c}\sum_{k\in K} q_{ikt\omega} + I_{0t\omega}
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&& \forall t\in T,\ \forall \omega\in\Omega \tag{2}\\[2pt]
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& I_{i,t-1,\omega} + \sum_{k\in K} q_{ikt\omega} + e_{it\omega}
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= d_{it\omega} + I_{it\omega}
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&& \forall i\in N_c,\ \forall t\in T,\ \forall \omega\in\Omega \tag{3}\\[2pt]
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& I_{0t\omega} \le L_0
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&& \forall t\in T,\ \forall \omega\in\Omega \tag{4}\\[2pt]
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& I_{it\omega} + d_{it\omega} \le L_i
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&& \forall i\in N_c,\ \forall t\in T,\ \forall \omega\in\Omega \tag{5}\\[2pt]
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& p_{t\omega} \le M_{t\omega}\,y_t
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&& \forall t\in T,\ \forall \omega\in\Omega \tag{6}\\[2pt]
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& \sum_{i\in N_c} q_{ikt\omega} \le Q\,z_{0kt}
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&& \forall k\in K,\ \forall t\in T,\ \forall \omega\in\Omega \tag{7}\\[2pt]
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& q_{ikt\omega} \le M'_{it\omega}\,z_{ikt}
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&& \forall i\in N_c,\ \forall k\in K,\ \forall t\in T,\ \forall \omega\in\Omega \tag{8}\\[2pt]
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& \sum_{k\in K} z_{ikt} \le 1
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&& \forall i\in N_c,\ \forall t\in T \tag{9}\\[2pt]
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& \sum_{(j,j')\in\delta(i)} x_{jj'kt} = 2\,z_{ikt}
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&& \forall i\in N,\ \forall k\in K,\ \forall t\in T \tag{10}\\[2pt]
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& \sum_{(i,j)\in E(S)} x_{ijkt} \le \sum_{i\in S} z_{ikt} - z_{ekt}
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&& \forall S\subseteq N_c:\ |S|\ge 2,\ \forall e\in S,\ \forall k\in K,\ \forall t\in T \tag{11}\\[2pt]
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& e_{it\omega},\ p_{t\omega},\ I_{it\omega},\ q_{ikt\omega} \ge 0
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&& \forall i\in N,\ \forall k\in K,\ \forall t\in T,\ \forall \omega\in\Omega \tag{12}\\[2pt]
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& y_t,\ z_{ikt} \in \{0,1\}
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&& \forall i\in N,\ \forall k\in K,\ \forall t\in T \tag{13}\\[2pt]
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& x_{ijkt} \in \{0,1\}
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&& \forall (i,j)\in E:\ i\neq 0,\ \forall k\in K,\ \forall t\in T \tag{14}\\[2pt]
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& x_{0jkt} \in \{0,1,2\}
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&& \forall j\in N_c,\ \forall k\in K,\ \forall t\in T \tag{15}
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\end{align}$$
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*Strengthening inequalities included by the paper inside the definition of Model (1)–(19) (2-BF): routing-strengthening (16)–(17) and vehicle symmetry-breaking (18)–(19).* $$\begin{align}
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& z_{ikt} \le z_{0kt}
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&& \forall i\in N_c,\ \forall k\in K,\ \forall t\in T \tag{16}\\[2pt]
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& x_{ijkt} \le z_{ikt}\quad\text{and}\quad x_{ijkt} \le z_{jkt}
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&& \forall (i,j)\in E(N_c),\ \forall k\in K,\ \forall t\in T \tag{17}\\[2pt]
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& z_{0kt} \ge z_{0,k+1,t}
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&& \forall\, 1\le k\le m-1,\ \forall t\in T \tag{18}\\[2pt]
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& \sum_{i=1}^{j} 2^{(j-i)}\,z_{ikt} \ge \sum_{i=1}^{j} 2^{(j-i)}\,z_{i,k+1,t}
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&& \forall j\in N_c,\ \forall\, 1\le k\le m-1,\ \forall t\in T \tag{19}
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\end{align}$$
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Model (1)–(19) is referred to as the **2-BF**.
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adulyasak2015/problem_description.txt
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# Problem Description
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A production plant manufactures a single product and distributes it to a set of customers over a discrete, finite planning horizon of multiple time periods. A fleet of identical capacitated vehicles, each with the same load capacity, is available at the plant to make deliveries. The plant and each customer have a known initial inventory at the start of the horizon, a per-unit inventory holding cost, and a maximum inventory capacity. The plant has a maximum production capacity per period, a unit production cost, and a fixed setup cost that is incurred in any period in which production takes place. Each customer has a known demand in each period (which may be uncertain and described by a set of scenarios with known probabilities) and a per-unit penalty cost for demand that is left unmet. The transportation cost of moving a vehicle directly between any two locations (plant or customer) is known and symmetric.
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In each period, the company decides whether to set up production at the plant, how much to produce, which customers each vehicle will visit, the delivery quantity from each vehicle to each visited customer, the route each dispatched vehicle follows starting and ending at the plant, and the resulting end-of-period inventory at the plant and at each customer. A customer may be visited by at most one vehicle per period. Production may occur in a period only if a setup has been performed in that period, and the production quantity cannot exceed the plant's production capacity. The plant's inventory balance requires that the inventory carried from the previous period plus the quantity produced equals the total quantity shipped to customers plus the inventory remaining at the plant; the remaining inventory cannot exceed the plant's storage capacity. Each customer's inventory balance requires that the inventory carried from the previous period plus the total quantity delivered plus any unmet demand equals the demand in that period plus the remaining inventory, and the ending inventory plus the period's demand cannot exceed the customer's storage capacity (deliveries arrive before demand is consumed).
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The total quantity loaded onto any vehicle in a period cannot exceed the vehicle capacity, and a vehicle can deliver to a customer only if it visits that customer on its route in that period. The delivery quantity to a customer from a vehicle is bounded by the customer's remaining storage capacity and by the customer's future demand from that period onward. Each vehicle route must start and end at the plant and form a single tour through its assigned customers.
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When demands are uncertain, the setup, visit, and routing decisions must be fixed before demand realizations are observed, while the production, delivery, inventory, and unmet-demand quantities may adapt to the realized demand information available up to that period. The objective is to minimize the total expected cost over the planning horizon: the fixed setup costs, the transportation costs of all routes operated, the unit production costs, the inventory holding costs at the plant and at all customers, and the penalty costs for unmet demand, with scenario-dependent cost components weighted by their probabilities.
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adulyasak2015/solution_logger.py
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"""
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Convergence logger for optimization algorithms.
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Records incumbent solutions with timestamps to a JSONL file.
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This module is provided to LLM-generated programs — they only need to call
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`log(objective_value)` whenever a better feasible solution is found.
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Usage in generated code:
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from solution_logger import SolutionLogger
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logger = SolutionLogger(log_path, sense="minimize") # or "maximize"
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# ... inside algorithm loop:
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logger.log(objective_value)
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"""
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import json
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import time
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class SolutionLogger:
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def __init__(self, log_path, sense="minimize"):
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"""
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Args:
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log_path: Path to the JSONL output file.
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sense: "minimize" or "maximize".
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"""
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self.log_path = log_path
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self.sense = sense
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self.start_time = time.time()
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self.best_obj = None
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self.min_interval = 0.1 # seconds, avoid excessive writes
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self._last_log_time = 0.0
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# Clear the file
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with open(self.log_path, "w") as f:
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pass
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def log(self, objective_value):
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"""Record a new incumbent if it improves on the best known."""
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if objective_value is None:
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return
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# Check if this is an improvement
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if self.best_obj is not None:
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if self.sense == "minimize" and objective_value >= self.best_obj:
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return
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if self.sense == "maximize" and objective_value <= self.best_obj:
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return
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elapsed = time.time() - self.start_time
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# Throttle writes
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if self.best_obj is not None and elapsed - self._last_log_time < self.min_interval:
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self.best_obj = objective_value
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return
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self.best_obj = objective_value
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self._last_log_time = elapsed
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with open(self.log_path, "a") as f:
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f.write(json.dumps({"time": round(elapsed, 3),
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"objective_value": objective_value}) + "\n")
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adulyasak2015/solution_schema.json
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{
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"objective_value": "<float> Total expected cost including setup costs, transportation costs, production costs, holding costs, and unmet demand penalties.",
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"y": "<dict, key: '{period}'> Whether production is set up at the plant in each period (1 = yes, 0 = no).",
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"z": "<dict, key: '{node}_{vehicle}_{period}'> Whether a node is visited by a vehicle in a given period (1 = yes), where node 0 indicates the vehicle is dispatched from the plant.",
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"x": "<dict, key: '{node_i}_{node_j}_{vehicle}_{period}'> Number of times the edge between two nodes is traversed by a vehicle in a given period (1 for customer-customer edges, up to 2 for plant-customer edges)."
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}
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alba2013/feasibility_check.py
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#!/usr/bin/env python3
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"""
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Feasibility checker for the Double Traveling Salesman Problem with Multiple Stacks (DTSPMS).
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Checks constraints from the mathematical formulation (Alba Martinez et al. 2013):
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Constraint 1 (Eq 2): Out-degree assignment — each vertex has exactly one successor in each tour.
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Constraint 2 (Eq 3): In-degree assignment — each vertex has exactly one predecessor in each tour.
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Constraint 3 (Eq 4): Subtour elimination — each tour is a single Hamiltonian cycle.
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Constraint 4 (Eq 5): Binary domain — x variables are 0 or 1.
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Constraint 5 (Eq 6): Loading feasibility — LIFO constraint across stacks linking pickup/delivery tours.
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Constraint 6 (Eq 1): Objective consistency — reported objective_value must equal the recomputed
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total routing cost (pickup distance + delivery distance) summed over the tours.
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Constraints 7-10 are strengthened valid inequalities (cuts) implied by constraint 5 and are not
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checked separately.
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"""
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import argparse
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import json
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from collections import defaultdict
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def load_json(path):
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| 24 |
-
with open(path, 'r') as f:
|
| 25 |
-
return json.load(f)
|
| 26 |
-
|
| 27 |
-
|
| 28 |
-
def build_x_from_tour(tour, n):
|
| 29 |
-
"""
|
| 30 |
-
Build the x variable dictionary from a tour sequence.
|
| 31 |
-
tour is a list of vertices [v0, v1, ..., v_{n}] representing the order of visit.
|
| 32 |
-
The tour is a cycle: v_{n} -> v0 is implied.
|
| 33 |
-
Returns dict {(i,j): 1} for arcs used.
|
| 34 |
-
"""
|
| 35 |
-
x = {}
|
| 36 |
-
for idx in range(len(tour)):
|
| 37 |
-
i = tour[idx]
|
| 38 |
-
j = tour[(idx + 1) % len(tour)]
|
| 39 |
-
x[(i, j)] = 1
|
| 40 |
-
return x
|
| 41 |
-
|
| 42 |
-
|
| 43 |
-
def check_feasibility(instance, solution):
|
| 44 |
-
tol = 1e-5
|
| 45 |
-
eps = 1e-5
|
| 46 |
-
|
| 47 |
-
n = instance['parameters']['num_requests_n']
|
| 48 |
-
s = instance['parameters']['num_stacks_s']
|
| 49 |
-
l_cap = instance['parameters']['stack_height_l']
|
| 50 |
-
|
| 51 |
-
V = list(range(n + 1)) # {0, 1, ..., n}
|
| 52 |
-
|
| 53 |
-
pickup_tour = solution['pickup_tour']
|
| 54 |
-
delivery_tour = solution['delivery_tour']
|
| 55 |
-
|
| 56 |
-
violations = []
|
| 57 |
-
violation_magnitudes = []
|
| 58 |
-
violated_constraint_set = set()
|
| 59 |
-
|
| 60 |
-
# Build x variables from tours
|
| 61 |
-
x_P = build_x_from_tour(pickup_tour, n)
|
| 62 |
-
x_D = build_x_from_tour(delivery_tour, n)
|
| 63 |
-
|
| 64 |
-
# =========================================================================
|
| 65 |
-
# Constraint 1 (Eq 2): Out-degree — sum_j x^T_{ij} = 1 for each i in V^T
|
| 66 |
-
# =========================================================================
|
| 67 |
-
for label, x_vals, tour in [("pickup", x_P, pickup_tour), ("delivery", x_D, delivery_tour)]:
|
| 68 |
-
for i in V:
|
| 69 |
-
out_sum = sum(v for (a, b), v in x_vals.items() if a == i)
|
| 70 |
-
rhs = 1.0
|
| 71 |
-
violation_amount = abs(out_sum - rhs)
|
| 72 |
-
if violation_amount > tol:
|
| 73 |
-
normalizer = max(abs(rhs), eps)
|
| 74 |
-
violated_constraint_set.add(1)
|
| 75 |
-
violations.append(
|
| 76 |
-
f"Constraint 1 (out-degree): Vertex {i} in {label} tour has "
|
| 77 |
-
f"out-degree {out_sum}, expected 1"
|
| 78 |
-
)
|
| 79 |
-
violation_magnitudes.append({
|
| 80 |
-
"constraint": 1,
|
| 81 |
-
"lhs": float(out_sum),
|
| 82 |
-
"rhs": float(rhs),
|
| 83 |
-
"raw_excess": float(violation_amount),
|
| 84 |
-
"normalizer": float(normalizer),
|
| 85 |
-
"ratio": float(violation_amount / normalizer)
|
| 86 |
-
})
|
| 87 |
-
|
| 88 |
-
# =========================================================================
|
| 89 |
-
# Constraint 2 (Eq 3): In-degree — sum_i x^T_{ij} = 1 for each j in V^T
|
| 90 |
-
# =========================================================================
|
| 91 |
-
for label, x_vals, tour in [("pickup", x_P, pickup_tour), ("delivery", x_D, delivery_tour)]:
|
| 92 |
-
for j in V:
|
| 93 |
-
in_sum = sum(v for (a, b), v in x_vals.items() if b == j)
|
| 94 |
-
rhs = 1.0
|
| 95 |
-
violation_amount = abs(in_sum - rhs)
|
| 96 |
-
if violation_amount > tol:
|
| 97 |
-
normalizer = max(abs(rhs), eps)
|
| 98 |
-
violated_constraint_set.add(2)
|
| 99 |
-
violations.append(
|
| 100 |
-
f"Constraint 2 (in-degree): Vertex {j} in {label} tour has "
|
| 101 |
-
f"in-degree {in_sum}, expected 1"
|
| 102 |
-
)
|
| 103 |
-
violation_magnitudes.append({
|
| 104 |
-
"constraint": 2,
|
| 105 |
-
"lhs": float(in_sum),
|
| 106 |
-
"rhs": float(rhs),
|
| 107 |
-
"raw_excess": float(violation_amount),
|
| 108 |
-
"normalizer": float(normalizer),
|
| 109 |
-
"ratio": float(violation_amount / normalizer)
|
| 110 |
-
})
|
| 111 |
-
|
| 112 |
-
# =========================================================================
|
| 113 |
-
# Constraint 3 (Eq 4): Subtour elimination — tour must be a single cycle
|
| 114 |
-
# visiting all vertices (i.e., a Hamiltonian cycle on V^T).
|
| 115 |
-
# We check: (a) tour visits all n+1 vertices, (b) no repeated vertices,
|
| 116 |
-
# (c) forms a single connected cycle.
|
| 117 |
-
# =========================================================================
|
| 118 |
-
for label, tour in [("pickup", pickup_tour), ("delivery", delivery_tour)]:
|
| 119 |
-
tour_set = set(tour)
|
| 120 |
-
v_set = set(V)
|
| 121 |
-
|
| 122 |
-
# Check all vertices are visited
|
| 123 |
-
missing = v_set - tour_set
|
| 124 |
-
extra = tour_set - v_set
|
| 125 |
-
repeated = len(tour) - len(tour_set)
|
| 126 |
-
|
| 127 |
-
if missing:
|
| 128 |
-
# The tour doesn't visit all vertices => subtours exist
|
| 129 |
-
# Violation: the tour only covers |tour_set| vertices out of n+1
|
| 130 |
-
# This means at least one subtour exists among the missing vertices
|
| 131 |
-
# For the subtour constraint: sum_{i in S, j in S} x_{ij} <= |S| - 1
|
| 132 |
-
# If S = tour_set (without depot potentially), a subtour of size |S|
|
| 133 |
-
# uses |S| arcs inside S, violating |S| - 1 bound by 1
|
| 134 |
-
violation_amount = 1.0 # at minimum one extra arc in subtour
|
| 135 |
-
rhs_val = len(tour_set) - 1.0 if len(tour_set) >= 2 else 0.0
|
| 136 |
-
lhs_val = rhs_val + 1.0 # subtour uses |S| arcs = |S|-1+1
|
| 137 |
-
normalizer = max(abs(rhs_val), eps)
|
| 138 |
-
violated_constraint_set.add(3)
|
| 139 |
-
violations.append(
|
| 140 |
-
f"Constraint 3 (subtour elimination): {label} tour missing vertices "
|
| 141 |
-
f"{sorted(missing)}; tour has subtour(s)"
|
| 142 |
-
)
|
| 143 |
-
violation_magnitudes.append({
|
| 144 |
-
"constraint": 3,
|
| 145 |
-
"lhs": float(lhs_val),
|
| 146 |
-
"rhs": float(rhs_val),
|
| 147 |
-
"raw_excess": float(violation_amount),
|
| 148 |
-
"normalizer": float(normalizer),
|
| 149 |
-
"ratio": float(violation_amount / normalizer)
|
| 150 |
-
})
|
| 151 |
-
|
| 152 |
-
if repeated > 0:
|
| 153 |
-
violation_amount = float(repeated)
|
| 154 |
-
rhs_val = float(n + 1) # expected number of unique vertices
|
| 155 |
-
lhs_val = float(len(tour)) # actual tour length
|
| 156 |
-
normalizer = max(abs(rhs_val), eps)
|
| 157 |
-
violated_constraint_set.add(3)
|
| 158 |
-
violations.append(
|
| 159 |
-
f"Constraint 3 (subtour elimination): {label} tour has {repeated} "
|
| 160 |
-
f"repeated vertex visit(s); tour length {len(tour)} but only "
|
| 161 |
-
f"{len(tour_set)} unique vertices"
|
| 162 |
-
)
|
| 163 |
-
violation_magnitudes.append({
|
| 164 |
-
"constraint": 3,
|
| 165 |
-
"lhs": float(lhs_val),
|
| 166 |
-
"rhs": float(rhs_val),
|
| 167 |
-
"raw_excess": float(violation_amount),
|
| 168 |
-
"normalizer": float(normalizer),
|
| 169 |
-
"ratio": float(violation_amount / normalizer)
|
| 170 |
-
})
|
| 171 |
-
|
| 172 |
-
if extra:
|
| 173 |
-
violated_constraint_set.add(3)
|
| 174 |
-
violations.append(
|
| 175 |
-
f"Constraint 3 (subtour elimination): {label} tour visits invalid "
|
| 176 |
-
f"vertices {sorted(extra)} not in V^T"
|
| 177 |
-
)
|
| 178 |
-
violation_magnitudes.append({
|
| 179 |
-
"constraint": 3,
|
| 180 |
-
"lhs": float(len(extra)),
|
| 181 |
-
"rhs": 0.0,
|
| 182 |
-
"raw_excess": float(len(extra)),
|
| 183 |
-
"normalizer": eps,
|
| 184 |
-
"ratio": float(len(extra) / eps)
|
| 185 |
-
})
|
| 186 |
-
|
| 187 |
-
# Check single-cycle property (no disconnected subtours)
|
| 188 |
-
if not missing and not extra and repeated == 0:
|
| 189 |
-
# Build adjacency from tour
|
| 190 |
-
adj = {}
|
| 191 |
-
for idx in range(len(tour)):
|
| 192 |
-
adj[tour[idx]] = tour[(idx + 1) % len(tour)]
|
| 193 |
-
# Follow from depot
|
| 194 |
-
visited = set()
|
| 195 |
-
current = 0
|
| 196 |
-
while current not in visited:
|
| 197 |
-
visited.add(current)
|
| 198 |
-
current = adj.get(current, -1)
|
| 199 |
-
if len(visited) < len(V):
|
| 200 |
-
# Multiple cycles detected
|
| 201 |
-
num_subtours = 0
|
| 202 |
-
remaining = set(V) - visited
|
| 203 |
-
while remaining:
|
| 204 |
-
start = next(iter(remaining))
|
| 205 |
-
cycle = set()
|
| 206 |
-
cur = start
|
| 207 |
-
while cur not in cycle:
|
| 208 |
-
cycle.add(cur)
|
| 209 |
-
cur = adj.get(cur, -1)
|
| 210 |
-
remaining -= cycle
|
| 211 |
-
num_subtours += 1
|
| 212 |
-
|
| 213 |
-
violation_amount = float(num_subtours)
|
| 214 |
-
rhs_val = 0.0
|
| 215 |
-
normalizer = eps
|
| 216 |
-
violated_constraint_set.add(3)
|
| 217 |
-
violations.append(
|
| 218 |
-
f"Constraint 3 (subtour elimination): {label} tour has "
|
| 219 |
-
f"{num_subtours + 1} disconnected cycle(s) instead of 1"
|
| 220 |
-
)
|
| 221 |
-
violation_magnitudes.append({
|
| 222 |
-
"constraint": 3,
|
| 223 |
-
"lhs": float(num_subtours + 1),
|
| 224 |
-
"rhs": 1.0,
|
| 225 |
-
"raw_excess": float(num_subtours),
|
| 226 |
-
"normalizer": max(1.0, eps),
|
| 227 |
-
"ratio": float(num_subtours / max(1.0, eps))
|
| 228 |
-
})
|
| 229 |
-
|
| 230 |
-
# =========================================================================
|
| 231 |
-
# Constraint 4 (Eq 5): Binary domain — x^T_{ij} in {0,1}
|
| 232 |
-
# Also: x^T_{ii} = 0 (variable fixing from comment 4)
|
| 233 |
-
# =========================================================================
|
| 234 |
-
for label, x_vals in [("pickup", x_P), ("delivery", x_D)]:
|
| 235 |
-
for (i, j), val in x_vals.items():
|
| 236 |
-
if val not in (0, 1):
|
| 237 |
-
violation_amount = min(abs(val - 0), abs(val - 1))
|
| 238 |
-
if violation_amount > tol:
|
| 239 |
-
violated_constraint_set.add(4)
|
| 240 |
-
violations.append(
|
| 241 |
-
f"Constraint 4 (binary domain): x^{label[0].upper()}"
|
| 242 |
-
f"_{{{i},{j}}} = {val}, not binary"
|
| 243 |
-
)
|
| 244 |
-
violation_magnitudes.append({
|
| 245 |
-
"constraint": 4,
|
| 246 |
-
"lhs": float(val),
|
| 247 |
-
"rhs": 1.0,
|
| 248 |
-
"raw_excess": float(violation_amount),
|
| 249 |
-
"normalizer": max(1.0, eps),
|
| 250 |
-
"ratio": float(violation_amount / max(1.0, eps))
|
| 251 |
-
})
|
| 252 |
-
if i == j and val > tol:
|
| 253 |
-
violated_constraint_set.add(4)
|
| 254 |
-
violations.append(
|
| 255 |
-
f"Constraint 4 (binary domain): Self-loop x^{label[0].upper()}"
|
| 256 |
-
f"_{{{i},{i}}} = {val}, must be 0"
|
| 257 |
-
)
|
| 258 |
-
violation_magnitudes.append({
|
| 259 |
-
"constraint": 4,
|
| 260 |
-
"lhs": float(val),
|
| 261 |
-
"rhs": 0.0,
|
| 262 |
-
"raw_excess": float(val),
|
| 263 |
-
"normalizer": eps,
|
| 264 |
-
"ratio": float(val / eps)
|
| 265 |
-
})
|
| 266 |
-
|
| 267 |
-
# =========================================================================
|
| 268 |
-
# Constraint 5 (Eq 6): Loading feasibility — LIFO constraint
|
| 269 |
-
# For a given pickup tour order and delivery tour order, there must exist
|
| 270 |
-
# a feasible assignment of items to s stacks (each with capacity l) such
|
| 271 |
-
# that LIFO is respected: if item i is picked up before item j and both
|
| 272 |
-
# are in the same stack, then j must be delivered before i.
|
| 273 |
-
# =========================================================================
|
| 274 |
-
# Extract customer ordering from tours (exclude depot 0)
|
| 275 |
-
p_customers = [v for v in pickup_tour if v != 0]
|
| 276 |
-
d_customers = [v for v in delivery_tour if v != 0]
|
| 277 |
-
|
| 278 |
-
# Check basic: both should contain exactly the customer set {1..n}
|
| 279 |
-
p_set = set(p_customers)
|
| 280 |
-
d_set = set(d_customers)
|
| 281 |
-
expected_customers = set(range(1, n + 1))
|
| 282 |
-
|
| 283 |
-
if p_set != expected_customers or d_set != expected_customers:
|
| 284 |
-
# Already caught by constraints 1-3, but note for loading
|
| 285 |
-
pass
|
| 286 |
-
else:
|
| 287 |
-
# Build position maps
|
| 288 |
-
p_pos = {v: i for i, v in enumerate(p_customers)}
|
| 289 |
-
d_pos = {v: i for i, v in enumerate(d_customers)}
|
| 290 |
-
|
| 291 |
-
# Try to assign items to stacks respecting LIFO
|
| 292 |
-
# Use backtracking to check feasibility
|
| 293 |
-
items_in_pickup_order = list(p_customers) # items in pickup order
|
| 294 |
-
|
| 295 |
-
feasible = _check_loading_feasibility(items_in_pickup_order, p_pos, d_pos, s, l_cap)
|
| 296 |
-
|
| 297 |
-
if not feasible:
|
| 298 |
-
# Compute violation: the loading is infeasible
|
| 299 |
-
# For the path constraint (6): LHS = |A(Q)| + |A(F)|, RHS = |A(Q)| + |A(F)| - 1
|
| 300 |
-
# With Q = full pickup path, F = full delivery path
|
| 301 |
-
q = len(p_customers) # arcs in pickup path
|
| 302 |
-
f = len(d_customers) # arcs in delivery path
|
| 303 |
-
lhs_val = float(q + f) # all arcs are used (integer solution)
|
| 304 |
-
rhs_val = float(q + f - 1)
|
| 305 |
-
violation_amount = lhs_val - rhs_val # = 1.0
|
| 306 |
-
normalizer = max(abs(rhs_val), eps)
|
| 307 |
-
violated_constraint_set.add(5)
|
| 308 |
-
violations.append(
|
| 309 |
-
f"Constraint 5 (loading feasibility): No feasible LIFO loading exists "
|
| 310 |
-
f"for the given pickup order {pickup_tour} and delivery order "
|
| 311 |
-
f"{delivery_tour} with {s} stack(s) of capacity {l_cap}"
|
| 312 |
-
)
|
| 313 |
-
violation_magnitudes.append({
|
| 314 |
-
"constraint": 5,
|
| 315 |
-
"lhs": float(lhs_val),
|
| 316 |
-
"rhs": float(rhs_val),
|
| 317 |
-
"raw_excess": float(violation_amount),
|
| 318 |
-
"normalizer": float(normalizer),
|
| 319 |
-
"ratio": float(violation_amount / normalizer)
|
| 320 |
-
})
|
| 321 |
-
|
| 322 |
-
# =========================================================================
|
| 323 |
-
# Constraint 6 (Eq 1): Objective consistency — reported objective_value must
|
| 324 |
-
# equal recomputed total routing cost (sum of pickup arc costs + sum of
|
| 325 |
-
# delivery arc costs). All variables that determine the obj (pickup_tour,
|
| 326 |
-
# delivery_tour) are in the solution, so a full recompute is exact.
|
| 327 |
-
# Tier C defense against LLM solutions that fabricate objective_value.
|
| 328 |
-
# =========================================================================
|
| 329 |
-
reported_obj_raw = solution.get("objective_value")
|
| 330 |
-
pickup_dm = instance.get("pickup_region", {}).get("distance_matrix")
|
| 331 |
-
delivery_dm = instance.get("delivery_region", {}).get("distance_matrix")
|
| 332 |
-
if reported_obj_raw is not None and pickup_dm is not None and delivery_dm is not None:
|
| 333 |
-
try:
|
| 334 |
-
reported_obj = float(reported_obj_raw)
|
| 335 |
-
except (TypeError, ValueError):
|
| 336 |
-
reported_obj = None
|
| 337 |
-
if reported_obj is not None:
|
| 338 |
-
try:
|
| 339 |
-
pickup_cost = sum(
|
| 340 |
-
float(pickup_dm[pickup_tour[i]][pickup_tour[(i + 1) % len(pickup_tour)]])
|
| 341 |
-
for i in range(len(pickup_tour))
|
| 342 |
-
)
|
| 343 |
-
delivery_cost = sum(
|
| 344 |
-
float(delivery_dm[delivery_tour[i]][delivery_tour[(i + 1) % len(delivery_tour)]])
|
| 345 |
-
for i in range(len(delivery_tour))
|
| 346 |
-
)
|
| 347 |
-
true_obj = pickup_cost + delivery_cost
|
| 348 |
-
except (IndexError, TypeError, ValueError):
|
| 349 |
-
true_obj = None
|
| 350 |
-
|
| 351 |
-
if true_obj is not None:
|
| 352 |
-
abs_diff = abs(reported_obj - true_obj)
|
| 353 |
-
# 0.1% relative tolerance with 1e-3 absolute floor.
|
| 354 |
-
obj_tol = max(1e-3, 1e-3 * abs(true_obj))
|
| 355 |
-
if abs_diff > obj_tol:
|
| 356 |
-
normalizer = max(abs(true_obj), eps)
|
| 357 |
-
violated_constraint_set.add(6)
|
| 358 |
-
violations.append(
|
| 359 |
-
f"Constraint 6 (objective consistency): reported objective_value="
|
| 360 |
-
f"{reported_obj} differs from recomputed pickup_cost+delivery_cost="
|
| 361 |
-
f"{true_obj} (|diff|={abs_diff:.6g}, tol={obj_tol:.6g})"
|
| 362 |
-
)
|
| 363 |
-
violation_magnitudes.append({
|
| 364 |
-
"constraint": 6,
|
| 365 |
-
"lhs": float(reported_obj),
|
| 366 |
-
"rhs": float(true_obj),
|
| 367 |
-
"raw_excess": float(abs_diff),
|
| 368 |
-
"normalizer": float(normalizer),
|
| 369 |
-
"ratio": float(abs_diff / normalizer)
|
| 370 |
-
})
|
| 371 |
-
|
| 372 |
-
# =========================================================================
|
| 373 |
-
# Build result
|
| 374 |
-
# =========================================================================
|
| 375 |
-
violated_list = sorted(violated_constraint_set)
|
| 376 |
-
feasible = len(violated_list) == 0
|
| 377 |
-
|
| 378 |
-
result = {
|
| 379 |
-
"feasible": feasible,
|
| 380 |
-
"violated_constraints": violated_list,
|
| 381 |
-
"violations": violations,
|
| 382 |
-
"violation_magnitudes": violation_magnitudes
|
| 383 |
-
}
|
| 384 |
-
|
| 385 |
-
return result
|
| 386 |
-
|
| 387 |
-
|
| 388 |
-
def _check_loading_feasibility(items_in_pickup_order, p_pos, d_pos, s, l_cap):
|
| 389 |
-
"""
|
| 390 |
-
Check if items can be assigned to s stacks (each capacity l_cap) respecting LIFO.
|
| 391 |
-
|
| 392 |
-
LIFO rule: if item i is picked up before item j and both are in the same stack,
|
| 393 |
-
then item j must be delivered before item i (j is on top).
|
| 394 |
-
|
| 395 |
-
Uses backtracking.
|
| 396 |
-
"""
|
| 397 |
-
stacks = [[] for _ in range(s)]
|
| 398 |
-
|
| 399 |
-
def can_place(item, stack_idx):
|
| 400 |
-
stack = stacks[stack_idx]
|
| 401 |
-
if len(stack) >= l_cap:
|
| 402 |
-
return False
|
| 403 |
-
# Check LIFO: for each item w already in the stack,
|
| 404 |
-
# if w was picked up before item (p_pos[w] < p_pos[item]),
|
| 405 |
-
# then item must be delivered before w (d_pos[item] < d_pos[w])
|
| 406 |
-
# if item was picked up before w (shouldn't happen since we process in pickup order),
|
| 407 |
-
# then w must be delivered before item
|
| 408 |
-
for w in stack:
|
| 409 |
-
if p_pos[w] < p_pos[item]:
|
| 410 |
-
# w picked before item => item on top => item delivered before w
|
| 411 |
-
if d_pos[item] > d_pos[w]:
|
| 412 |
-
return False
|
| 413 |
-
elif p_pos[item] < p_pos[w]:
|
| 414 |
-
# item picked before w => w on top => w delivered before item
|
| 415 |
-
if d_pos[w] > d_pos[item]:
|
| 416 |
-
return False
|
| 417 |
-
return True
|
| 418 |
-
|
| 419 |
-
def backtrack(idx):
|
| 420 |
-
if idx == len(items_in_pickup_order):
|
| 421 |
-
return True
|
| 422 |
-
item = items_in_pickup_order[idx]
|
| 423 |
-
for k in range(s):
|
| 424 |
-
if can_place(item, k):
|
| 425 |
-
stacks[k].append(item)
|
| 426 |
-
if backtrack(idx + 1):
|
| 427 |
-
return True
|
| 428 |
-
stacks[k].pop()
|
| 429 |
-
# Pruning: if stack k is empty, no point trying further empty stacks
|
| 430 |
-
if len(stacks[k]) == 0:
|
| 431 |
-
break
|
| 432 |
-
return False
|
| 433 |
-
|
| 434 |
-
return backtrack(0)
|
| 435 |
-
|
| 436 |
-
|
| 437 |
-
def main():
|
| 438 |
-
parser = argparse.ArgumentParser(
|
| 439 |
-
description="Feasibility checker for DTSPMS solutions"
|
| 440 |
-
)
|
| 441 |
-
parser.add_argument("--instance_path", type=str, required=True,
|
| 442 |
-
help="Path to the JSON file containing the data instance")
|
| 443 |
-
parser.add_argument("--solution_path", type=str, required=True,
|
| 444 |
-
help="Path to the JSON file containing the candidate solution")
|
| 445 |
-
parser.add_argument("--result_path", type=str, required=True,
|
| 446 |
-
help="Path to write the JSON file containing the feasibility result")
|
| 447 |
-
args = parser.parse_args()
|
| 448 |
-
|
| 449 |
-
instance = load_json(args.instance_path)
|
| 450 |
-
solution = load_json(args.solution_path)
|
| 451 |
-
|
| 452 |
-
result = check_feasibility(instance, solution)
|
| 453 |
-
|
| 454 |
-
with open(args.result_path, 'w') as f:
|
| 455 |
-
json.dump(result, f, indent=2)
|
| 456 |
-
|
| 457 |
-
if result["feasible"]:
|
| 458 |
-
print(f"FEASIBLE: Solution satisfies all constraints.")
|
| 459 |
-
else:
|
| 460 |
-
print(f"INFEASIBLE: Violated constraints: {result['violated_constraints']}")
|
| 461 |
-
for v in result["violations"]:
|
| 462 |
-
print(f" - {v}")
|
| 463 |
-
|
| 464 |
-
|
| 465 |
-
if __name__ == "__main__":
|
| 466 |
-
main()
|
|
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|
|
alba2013/gurobi_code.py
DELETED
|
@@ -1,988 +0,0 @@
|
|
| 1 |
-
#!/usr/bin/env python3
|
| 2 |
-
"""
|
| 3 |
-
Gurobi implementation of the DTSPMS (Double Traveling Salesman Problem with Multiple Stacks).
|
| 4 |
-
|
| 5 |
-
Based on: Alba Martinez et al. (2013), "A Branch-and-Cut Algorithm for the Double Traveling
|
| 6 |
-
Salesman Problem with Multiple Stacks", INFORMS Journal on Computing 25(1):41-55.
|
| 7 |
-
|
| 8 |
-
This implements the ILP formulation (1)-(5) from the paper, with dynamic separation of:
|
| 9 |
-
- Subtour elimination constraints (4) via callback
|
| 10 |
-
- Infeasible path / tournament constraints (7) via callback
|
| 11 |
-
- Lifted tournament constraints (8) via callback (heuristic)
|
| 12 |
-
- Position-based constraints (9) via callback
|
| 13 |
-
- Lifted depot-endpoint constraints (10) via callback (heuristic)
|
| 14 |
-
|
| 15 |
-
The loading feasibility check (PDTC) follows Section 3 of the paper exactly.
|
| 16 |
-
"""
|
| 17 |
-
|
| 18 |
-
import argparse
|
| 19 |
-
import json
|
| 20 |
-
import math
|
| 21 |
-
import time
|
| 22 |
-
import itertools
|
| 23 |
-
from collections import defaultdict, deque
|
| 24 |
-
|
| 25 |
-
import gurobipy as gp
|
| 26 |
-
from gurobipy import GRB
|
| 27 |
-
import os as _os, sys as _sys
|
| 28 |
-
# Walk up from this file's directory to find repo root (containing scripts/).
|
| 29 |
-
_repo = _os.path.dirname(_os.path.abspath(__file__))
|
| 30 |
-
while _repo != _os.path.dirname(_repo) and not _os.path.isdir(_os.path.join(_repo, 'scripts', 'utils')):
|
| 31 |
-
_repo = _os.path.dirname(_repo)
|
| 32 |
-
if _os.path.isdir(_os.path.join(_repo, 'scripts', 'utils')):
|
| 33 |
-
_sys.path.insert(0, _repo)
|
| 34 |
-
try:
|
| 35 |
-
from scripts.utils.gurobi_log_helper import install_gurobi_logger
|
| 36 |
-
except ImportError:
|
| 37 |
-
def install_gurobi_logger(log_path): # no-op fallback when scripts/ unavailable
|
| 38 |
-
pass
|
| 39 |
-
|
| 40 |
-
|
| 41 |
-
# =============================================================================
|
| 42 |
-
# DATA LOADING
|
| 43 |
-
# =============================================================================
|
| 44 |
-
|
| 45 |
-
def load_instance(path):
|
| 46 |
-
"""Load a DTSPMS instance from JSON."""
|
| 47 |
-
with open(path, 'r') as f:
|
| 48 |
-
data = json.load(f)
|
| 49 |
-
return data
|
| 50 |
-
|
| 51 |
-
|
| 52 |
-
def build_distance_matrices(data):
|
| 53 |
-
"""Extract distance matrices for pickup and delivery regions."""
|
| 54 |
-
n = data['parameters']['num_requests_n']
|
| 55 |
-
s = data['parameters']['num_stacks_s']
|
| 56 |
-
l = data['parameters']['stack_height_l']
|
| 57 |
-
|
| 58 |
-
c_P = []
|
| 59 |
-
for row in data['pickup_region']['distance_matrix']:
|
| 60 |
-
c_P.append(list(row))
|
| 61 |
-
|
| 62 |
-
c_D = []
|
| 63 |
-
for row in data['delivery_region']['distance_matrix']:
|
| 64 |
-
c_D.append(list(row))
|
| 65 |
-
|
| 66 |
-
return n, s, l, c_P, c_D
|
| 67 |
-
|
| 68 |
-
|
| 69 |
-
# =============================================================================
|
| 70 |
-
# LOADING FEASIBILITY CHECK (PDTC) - Section 3 of the paper
|
| 71 |
-
# =============================================================================
|
| 72 |
-
|
| 73 |
-
def check_loading_feasibility(pickup_path, delivery_path, s, l):
|
| 74 |
-
"""
|
| 75 |
-
Check if a pair of (partial) paths admits a feasible loading plan.
|
| 76 |
-
|
| 77 |
-
pickup_path: ordered list of customer vertices visited in pickup tour (no depot)
|
| 78 |
-
delivery_path: ordered list of customer vertices visited in delivery tour (no depot)
|
| 79 |
-
s: number of stacks
|
| 80 |
-
l: max height of each stack
|
| 81 |
-
|
| 82 |
-
Returns: (feasible, cliques)
|
| 83 |
-
feasible: True if loading is feasible
|
| 84 |
-
cliques: list of cliques of size > s found (for lifted constraints)
|
| 85 |
-
"""
|
| 86 |
-
# Find common customers in both paths
|
| 87 |
-
I = []
|
| 88 |
-
pickup_set = set(pickup_path)
|
| 89 |
-
delivery_set = set(delivery_path)
|
| 90 |
-
I = list(pickup_set & delivery_set)
|
| 91 |
-
|
| 92 |
-
if len(I) == 0:
|
| 93 |
-
return True, []
|
| 94 |
-
|
| 95 |
-
# Step 1: Trivial check - if |I| <= s, feasible
|
| 96 |
-
if len(I) <= s:
|
| 97 |
-
return True, []
|
| 98 |
-
|
| 99 |
-
# Build position maps
|
| 100 |
-
pickup_pos = {}
|
| 101 |
-
for idx, v in enumerate(pickup_path):
|
| 102 |
-
if v not in pickup_pos:
|
| 103 |
-
pickup_pos[v] = idx
|
| 104 |
-
|
| 105 |
-
delivery_pos = {}
|
| 106 |
-
for idx, v in enumerate(delivery_path):
|
| 107 |
-
if v not in delivery_pos:
|
| 108 |
-
delivery_pos[v] = idx
|
| 109 |
-
|
| 110 |
-
# Step 2: Build precedence graph
|
| 111 |
-
# Arc (i, j) exists if i precedes j in BOTH pickup and delivery paths
|
| 112 |
-
# This means i and j CANNOT be in the same stack (LIFO violation)
|
| 113 |
-
precedence = defaultdict(set)
|
| 114 |
-
for i in I:
|
| 115 |
-
for j in I:
|
| 116 |
-
if i != j:
|
| 117 |
-
if pickup_pos[i] < pickup_pos[j] and delivery_pos[i] < delivery_pos[j]:
|
| 118 |
-
precedence[i].add(j)
|
| 119 |
-
|
| 120 |
-
# Step 3: Lower bound via longest path (CPM)
|
| 121 |
-
# The precedence graph is a DAG; find longest path
|
| 122 |
-
# Topological order by pickup position
|
| 123 |
-
sorted_items = sorted(I, key=lambda v: pickup_pos[v])
|
| 124 |
-
|
| 125 |
-
# Compute longest path length and track predecessors for clique extraction
|
| 126 |
-
dist = {v: 0 for v in I}
|
| 127 |
-
pred = {v: None for v in I}
|
| 128 |
-
|
| 129 |
-
for v in sorted_items:
|
| 130 |
-
for w in I:
|
| 131 |
-
if w in precedence[v]:
|
| 132 |
-
if dist[w] < dist[v] + 1:
|
| 133 |
-
dist[w] = dist[v] + 1
|
| 134 |
-
pred[w] = v
|
| 135 |
-
|
| 136 |
-
max_clique_size = max(dist.values()) + 1 if dist else 1
|
| 137 |
-
|
| 138 |
-
# Extract all cliques (longest paths) of maximum length
|
| 139 |
-
cliques = []
|
| 140 |
-
max_dist = max(dist.values()) if dist else 0
|
| 141 |
-
|
| 142 |
-
# Find all endpoints of longest paths
|
| 143 |
-
for end_v in I:
|
| 144 |
-
if dist[end_v] == max_dist:
|
| 145 |
-
# Trace back the clique
|
| 146 |
-
clique = []
|
| 147 |
-
v = end_v
|
| 148 |
-
while v is not None:
|
| 149 |
-
clique.append(v)
|
| 150 |
-
v = pred[v]
|
| 151 |
-
clique.reverse()
|
| 152 |
-
if clique not in cliques:
|
| 153 |
-
cliques.append(clique)
|
| 154 |
-
|
| 155 |
-
if max_clique_size > s:
|
| 156 |
-
return False, cliques
|
| 157 |
-
|
| 158 |
-
# Step 4: Greedy assignment using CPM output
|
| 159 |
-
# Compute T_min and T_max for each vertex
|
| 160 |
-
# T_min(i) = length of longest path ending at i (from any source) + 1 (1-indexed stack)
|
| 161 |
-
# T_max(i) = s - (length of longest path starting from i to any sink)
|
| 162 |
-
|
| 163 |
-
# Forward pass: T_min
|
| 164 |
-
t_min = {}
|
| 165 |
-
for v in sorted_items:
|
| 166 |
-
t_min[v] = dist[v] + 1 # 1-indexed
|
| 167 |
-
|
| 168 |
-
# Backward pass: longest path from v to any sink
|
| 169 |
-
# Reverse topological order
|
| 170 |
-
rev_sorted = list(reversed(sorted_items))
|
| 171 |
-
dist_from = {v: 0 for v in I}
|
| 172 |
-
for v in rev_sorted:
|
| 173 |
-
for w in I:
|
| 174 |
-
if w in precedence[v]:
|
| 175 |
-
if dist_from[v] < dist_from[w] + 1:
|
| 176 |
-
dist_from[v] = dist_from[w] + 1
|
| 177 |
-
|
| 178 |
-
t_max = {}
|
| 179 |
-
for v in I:
|
| 180 |
-
t_max[v] = s - dist_from[v]
|
| 181 |
-
|
| 182 |
-
# Assign items on longest path first (T_min == T_max)
|
| 183 |
-
stacks = [[] for _ in range(s)] # stacks[k] is list of items in stack k (bottom to top)
|
| 184 |
-
|
| 185 |
-
fixed_items = set()
|
| 186 |
-
for v in I:
|
| 187 |
-
if t_min[v] == t_max[v]:
|
| 188 |
-
stack_idx = t_min[v] - 1 # 0-indexed
|
| 189 |
-
if stack_idx < 0 or stack_idx >= s:
|
| 190 |
-
# Should not happen if clique size <= s
|
| 191 |
-
break
|
| 192 |
-
stacks[stack_idx].append(v)
|
| 193 |
-
if len(stacks[stack_idx]) > l:
|
| 194 |
-
# Greedy fails, go to enumeration
|
| 195 |
-
return _enumerate_loading(I, precedence, pickup_pos, delivery_pos, s, l), cliques
|
| 196 |
-
fixed_items.add(v)
|
| 197 |
-
|
| 198 |
-
# Check LIFO for fixed items
|
| 199 |
-
for k in range(s):
|
| 200 |
-
for i_idx in range(len(stacks[k])):
|
| 201 |
-
for j_idx in range(i_idx + 1, len(stacks[k])):
|
| 202 |
-
vi = stacks[k][i_idx]
|
| 203 |
-
vj = stacks[k][j_idx]
|
| 204 |
-
# vi loaded before vj (vi is lower in stack)
|
| 205 |
-
# For LIFO: vj must be delivered before vi
|
| 206 |
-
if pickup_pos[vi] < pickup_pos[vj]:
|
| 207 |
-
if delivery_pos[vi] < delivery_pos[vj]:
|
| 208 |
-
# LIFO violation
|
| 209 |
-
return _enumerate_loading(I, precedence, pickup_pos, delivery_pos, s, l), cliques
|
| 210 |
-
|
| 211 |
-
# Remaining items sorted by T_min, breaking ties by vertex index
|
| 212 |
-
remaining = [v for v in I if v not in fixed_items]
|
| 213 |
-
remaining.sort(key=lambda v: (t_min[v], v))
|
| 214 |
-
|
| 215 |
-
for v in remaining:
|
| 216 |
-
assigned = False
|
| 217 |
-
for k in range(s):
|
| 218 |
-
# Check if v can go into stack k
|
| 219 |
-
if len(stacks[k]) >= l:
|
| 220 |
-
continue
|
| 221 |
-
# Check LIFO: v is placed on top of stack k
|
| 222 |
-
# For each item w already in stack k:
|
| 223 |
-
# if w was picked up before v, then v must be delivered before w
|
| 224 |
-
# if v was picked up before w, then w must be delivered before v
|
| 225 |
-
valid = True
|
| 226 |
-
for w in stacks[k]:
|
| 227 |
-
if pickup_pos[w] < pickup_pos[v]:
|
| 228 |
-
# w loaded before v, v on top -> v must be delivered before w
|
| 229 |
-
if delivery_pos[v] > delivery_pos[w]:
|
| 230 |
-
valid = False
|
| 231 |
-
break
|
| 232 |
-
elif pickup_pos[v] < pickup_pos[w]:
|
| 233 |
-
# v loaded before w, but w is already in stack -> w was loaded after v
|
| 234 |
-
# w is on top relative to v, so w must be delivered before v
|
| 235 |
-
if delivery_pos[w] > delivery_pos[v]:
|
| 236 |
-
valid = False
|
| 237 |
-
break
|
| 238 |
-
if valid:
|
| 239 |
-
stacks[k].append(v)
|
| 240 |
-
assigned = True
|
| 241 |
-
break
|
| 242 |
-
if not assigned:
|
| 243 |
-
return _enumerate_loading(I, precedence, pickup_pos, delivery_pos, s, l), cliques
|
| 244 |
-
|
| 245 |
-
return True, cliques
|
| 246 |
-
|
| 247 |
-
|
| 248 |
-
def _enumerate_loading(I, precedence, pickup_pos, delivery_pos, s, l):
|
| 249 |
-
"""
|
| 250 |
-
Step 5: Complete enumeration of loading assignments.
|
| 251 |
-
Returns True if a feasible loading exists, False otherwise.
|
| 252 |
-
"""
|
| 253 |
-
# Sort items same as greedy
|
| 254 |
-
# Compute t_min for sorting
|
| 255 |
-
sorted_items_by_pickup = sorted(I, key=lambda v: pickup_pos[v])
|
| 256 |
-
dist = {v: 0 for v in I}
|
| 257 |
-
for v in sorted_items_by_pickup:
|
| 258 |
-
for w in I:
|
| 259 |
-
if w in precedence[v]:
|
| 260 |
-
if dist[w] < dist[v] + 1:
|
| 261 |
-
dist[w] = dist[v] + 1
|
| 262 |
-
|
| 263 |
-
t_min = {v: dist[v] + 1 for v in I}
|
| 264 |
-
items_order = sorted(I, key=lambda v: (t_min[v], v))
|
| 265 |
-
|
| 266 |
-
# DFS enumeration
|
| 267 |
-
stacks = [[] for _ in range(s)]
|
| 268 |
-
|
| 269 |
-
def backtrack(idx):
|
| 270 |
-
if idx == len(items_order):
|
| 271 |
-
return True
|
| 272 |
-
v = items_order[idx]
|
| 273 |
-
for k in range(s):
|
| 274 |
-
if len(stacks[k]) >= l:
|
| 275 |
-
continue
|
| 276 |
-
# Check LIFO
|
| 277 |
-
valid = True
|
| 278 |
-
for w in stacks[k]:
|
| 279 |
-
if pickup_pos[w] < pickup_pos[v]:
|
| 280 |
-
if delivery_pos[v] > delivery_pos[w]:
|
| 281 |
-
valid = False
|
| 282 |
-
break
|
| 283 |
-
elif pickup_pos[v] < pickup_pos[w]:
|
| 284 |
-
if delivery_pos[w] > delivery_pos[v]:
|
| 285 |
-
valid = False
|
| 286 |
-
break
|
| 287 |
-
if valid:
|
| 288 |
-
stacks[k].append(v)
|
| 289 |
-
if backtrack(idx + 1):
|
| 290 |
-
return True
|
| 291 |
-
stacks[k].pop()
|
| 292 |
-
return False
|
| 293 |
-
|
| 294 |
-
return backtrack(0)
|
| 295 |
-
|
| 296 |
-
|
| 297 |
-
# =============================================================================
|
| 298 |
-
# SUBTOUR SEPARATION
|
| 299 |
-
# =============================================================================
|
| 300 |
-
|
| 301 |
-
def find_subtours(n, x_vals):
|
| 302 |
-
"""
|
| 303 |
-
Find subtours in the solution defined by x_vals.
|
| 304 |
-
x_vals: dict mapping (i,j) -> value
|
| 305 |
-
Returns list of subtours (each a set of vertices), excluding the full tour.
|
| 306 |
-
n+1 vertices: 0..n
|
| 307 |
-
"""
|
| 308 |
-
# Build adjacency from integer solution
|
| 309 |
-
adj = defaultdict(list)
|
| 310 |
-
for (i, j), val in x_vals.items():
|
| 311 |
-
if val > 0.5:
|
| 312 |
-
adj[i].append(j)
|
| 313 |
-
|
| 314 |
-
visited = set()
|
| 315 |
-
subtours = []
|
| 316 |
-
all_vertices = set(range(n + 1))
|
| 317 |
-
|
| 318 |
-
for start in range(n + 1):
|
| 319 |
-
if start in visited:
|
| 320 |
-
continue
|
| 321 |
-
# Trace the cycle/path from start
|
| 322 |
-
tour = set()
|
| 323 |
-
current = start
|
| 324 |
-
while current not in tour and current not in visited:
|
| 325 |
-
tour.add(current)
|
| 326 |
-
nexts = adj.get(current, [])
|
| 327 |
-
if nexts:
|
| 328 |
-
current = nexts[0]
|
| 329 |
-
else:
|
| 330 |
-
break
|
| 331 |
-
visited |= tour
|
| 332 |
-
if len(tour) < n + 1 and len(tour) >= 2:
|
| 333 |
-
subtours.append(tour)
|
| 334 |
-
|
| 335 |
-
return subtours
|
| 336 |
-
|
| 337 |
-
|
| 338 |
-
def find_fractional_subtours(n, x_vals, tol=1e-4):
|
| 339 |
-
"""
|
| 340 |
-
Separate subtour elimination constraints from fractional solution
|
| 341 |
-
using max-flow / min-cut approach. For simplicity, we use a direct
|
| 342 |
-
approach checking connected components in the support graph.
|
| 343 |
-
|
| 344 |
-
Returns list of violated subtour sets S where sum_{i,j in S} x_{ij} > |S| - 1.
|
| 345 |
-
"""
|
| 346 |
-
# Build capacity graph
|
| 347 |
-
capacity = defaultdict(float)
|
| 348 |
-
for (i, j), val in x_vals.items():
|
| 349 |
-
if val > tol:
|
| 350 |
-
capacity[(i, j)] += val
|
| 351 |
-
|
| 352 |
-
# For each vertex i != 0, compute min-cut between 0 and i
|
| 353 |
-
# If min-cut < 1 (approx 2 due to in+out degree), there's a violated subtour
|
| 354 |
-
violated = []
|
| 355 |
-
vertices = set(range(n + 1))
|
| 356 |
-
|
| 357 |
-
for t in range(1, n + 1):
|
| 358 |
-
# BFS to find min-cut using residual graph
|
| 359 |
-
cut_val, S = min_cut_bfs(0, t, n, capacity)
|
| 360 |
-
if cut_val < 1.0 - tol and len(S) >= 2 and len(S) <= n:
|
| 361 |
-
# Check if this S actually gives a violated constraint
|
| 362 |
-
flow_in_S = sum(capacity.get((i, j), 0.0) for i in S for j in S if i != j)
|
| 363 |
-
if flow_in_S > len(S) - 1 + tol:
|
| 364 |
-
violated.append(S)
|
| 365 |
-
|
| 366 |
-
return violated
|
| 367 |
-
|
| 368 |
-
|
| 369 |
-
def min_cut_bfs(source, sink, n, capacity):
|
| 370 |
-
"""
|
| 371 |
-
Compute min s-t cut using max-flow (Edmonds-Karp / BFS augmenting paths).
|
| 372 |
-
Returns (cut_value, S) where S is the source side of the min cut.
|
| 373 |
-
"""
|
| 374 |
-
# Build residual graph
|
| 375 |
-
residual = defaultdict(float)
|
| 376 |
-
nodes = set(range(n + 1))
|
| 377 |
-
|
| 378 |
-
for (i, j), cap in capacity.items():
|
| 379 |
-
residual[(i, j)] += cap
|
| 380 |
-
|
| 381 |
-
total_flow = 0.0
|
| 382 |
-
|
| 383 |
-
while True:
|
| 384 |
-
# BFS to find augmenting path
|
| 385 |
-
parent = {source: None}
|
| 386 |
-
visited = {source}
|
| 387 |
-
queue = deque([source])
|
| 388 |
-
found = False
|
| 389 |
-
|
| 390 |
-
while queue and not found:
|
| 391 |
-
u = queue.popleft()
|
| 392 |
-
for v in nodes:
|
| 393 |
-
if v not in visited and residual.get((u, v), 0.0) > 1e-8:
|
| 394 |
-
parent[v] = u
|
| 395 |
-
visited.add(v)
|
| 396 |
-
if v == sink:
|
| 397 |
-
found = True
|
| 398 |
-
break
|
| 399 |
-
queue.append(v)
|
| 400 |
-
|
| 401 |
-
if not found:
|
| 402 |
-
break
|
| 403 |
-
|
| 404 |
-
# Find bottleneck
|
| 405 |
-
path_flow = float('inf')
|
| 406 |
-
v = sink
|
| 407 |
-
while parent[v] is not None:
|
| 408 |
-
u = parent[v]
|
| 409 |
-
path_flow = min(path_flow, residual[(u, v)])
|
| 410 |
-
v = u
|
| 411 |
-
|
| 412 |
-
# Update residual
|
| 413 |
-
v = sink
|
| 414 |
-
while parent[v] is not None:
|
| 415 |
-
u = parent[v]
|
| 416 |
-
residual[(u, v)] -= path_flow
|
| 417 |
-
residual[(v, u)] += path_flow
|
| 418 |
-
v = u
|
| 419 |
-
|
| 420 |
-
total_flow += path_flow
|
| 421 |
-
|
| 422 |
-
# Find S (reachable from source in residual graph)
|
| 423 |
-
S = set()
|
| 424 |
-
queue = deque([source])
|
| 425 |
-
S.add(source)
|
| 426 |
-
while queue:
|
| 427 |
-
u = queue.popleft()
|
| 428 |
-
for v in nodes:
|
| 429 |
-
if v not in S and residual.get((u, v), 0.0) > 1e-8:
|
| 430 |
-
S.add(v)
|
| 431 |
-
queue.append(v)
|
| 432 |
-
|
| 433 |
-
return total_flow, S
|
| 434 |
-
|
| 435 |
-
|
| 436 |
-
# =============================================================================
|
| 437 |
-
# PATH ENUMERATION FOR INFEASIBLE PATH SEPARATION
|
| 438 |
-
# =============================================================================
|
| 439 |
-
|
| 440 |
-
def enumerate_fractional_paths(n, x_vals, max_path_len=None, tol=1e-4):
|
| 441 |
-
"""
|
| 442 |
-
Enumerate fractional paths in a graph defined by x_vals.
|
| 443 |
-
A path starts from any vertex i=1..n and extends greedily.
|
| 444 |
-
|
| 445 |
-
Returns list of (path, arc_sum, tournament_sum) tuples, sorted by:
|
| 446 |
-
- nondecreasing path length
|
| 447 |
-
- nonincreasing tournament sum
|
| 448 |
-
"""
|
| 449 |
-
if max_path_len is None:
|
| 450 |
-
max_path_len = n
|
| 451 |
-
|
| 452 |
-
paths = []
|
| 453 |
-
|
| 454 |
-
for start in range(1, n + 1):
|
| 455 |
-
# BFS/DFS to find paths
|
| 456 |
-
# We use a simple greedy extension
|
| 457 |
-
_extend_path(start, [], 0.0, 0.0, set(), x_vals, n, max_path_len, paths, tol)
|
| 458 |
-
|
| 459 |
-
# Sort: nondecreasing length, then nonincreasing tournament sum
|
| 460 |
-
paths.sort(key=lambda p: (len(p[0]) - 1, -p[2]))
|
| 461 |
-
return paths
|
| 462 |
-
|
| 463 |
-
|
| 464 |
-
def _extend_path(current, path_so_far, arc_sum, tourn_sum, visited, x_vals, n, max_len, results, tol):
|
| 465 |
-
"""Recursively extend a path and collect valid paths."""
|
| 466 |
-
new_path = path_so_far + [current]
|
| 467 |
-
new_visited = visited | {current}
|
| 468 |
-
path_len = len(new_path) - 1 # number of arcs
|
| 469 |
-
|
| 470 |
-
if path_len >= 1:
|
| 471 |
-
# Compute tournament sum: sum of x_{p_j, p_h} for j < h (forward arcs)
|
| 472 |
-
t_sum = 0.0
|
| 473 |
-
for j in range(len(new_path)):
|
| 474 |
-
for h in range(j + 1, len(new_path)):
|
| 475 |
-
val = x_vals.get((new_path[j], new_path[h]), 0.0)
|
| 476 |
-
t_sum += val
|
| 477 |
-
|
| 478 |
-
# Keep path if sum > length - 1 (could contribute to violation)
|
| 479 |
-
if t_sum > path_len - 1 + tol:
|
| 480 |
-
results.append((list(new_path), arc_sum, t_sum))
|
| 481 |
-
|
| 482 |
-
if path_len >= max_len:
|
| 483 |
-
return
|
| 484 |
-
|
| 485 |
-
# Extend to next vertex
|
| 486 |
-
for next_v in range(1, n + 1):
|
| 487 |
-
if next_v not in new_visited:
|
| 488 |
-
edge_val = x_vals.get((current, next_v), 0.0)
|
| 489 |
-
if edge_val > tol:
|
| 490 |
-
new_arc_sum = arc_sum + edge_val
|
| 491 |
-
_extend_path(next_v, new_path, new_arc_sum, 0.0, new_visited,
|
| 492 |
-
x_vals, n, max_len, results, tol)
|
| 493 |
-
|
| 494 |
-
|
| 495 |
-
def enumerate_depot_paths(n, x_vals, from_depot=True, tol=1e-4):
|
| 496 |
-
"""
|
| 497 |
-
Enumerate paths starting from (or ending at) the depot.
|
| 498 |
-
For position-based constraints (9).
|
| 499 |
-
"""
|
| 500 |
-
max_path_len = n
|
| 501 |
-
paths = []
|
| 502 |
-
|
| 503 |
-
if from_depot:
|
| 504 |
-
# Paths: 0 -> v1 -> v2 -> ... -> vk
|
| 505 |
-
for next_v in range(1, n + 1):
|
| 506 |
-
edge_val = x_vals.get((0, next_v), 0.0)
|
| 507 |
-
if edge_val > tol:
|
| 508 |
-
_extend_depot_path(next_v, [0, next_v], edge_val, {0, next_v},
|
| 509 |
-
x_vals, n, max_path_len, paths, tol)
|
| 510 |
-
else:
|
| 511 |
-
# Paths ending at depot: v1 -> v2 -> ... -> vk -> 0
|
| 512 |
-
# We enumerate paths ending at 0
|
| 513 |
-
for prev_v in range(1, n + 1):
|
| 514 |
-
edge_val = x_vals.get((prev_v, 0), 0.0)
|
| 515 |
-
if edge_val > tol:
|
| 516 |
-
# Extend backward from prev_v
|
| 517 |
-
_extend_depot_path_backward(prev_v, [prev_v, 0], edge_val, {prev_v, 0},
|
| 518 |
-
x_vals, n, max_path_len, paths, tol)
|
| 519 |
-
|
| 520 |
-
return paths
|
| 521 |
-
|
| 522 |
-
|
| 523 |
-
def _extend_depot_path(current, path_so_far, arc_sum, visited, x_vals, n, max_len, results, tol):
|
| 524 |
-
"""Extend a depot path forward."""
|
| 525 |
-
path_len = len(path_so_far) - 1
|
| 526 |
-
if path_len >= 1:
|
| 527 |
-
# Compute tournament sum
|
| 528 |
-
t_sum = 0.0
|
| 529 |
-
for j in range(len(path_so_far)):
|
| 530 |
-
for h in range(j + 1, len(path_so_far)):
|
| 531 |
-
t_sum += x_vals.get((path_so_far[j], path_so_far[h]), 0.0)
|
| 532 |
-
results.append((list(path_so_far), arc_sum, t_sum))
|
| 533 |
-
|
| 534 |
-
if path_len >= max_len:
|
| 535 |
-
return
|
| 536 |
-
|
| 537 |
-
for next_v in range(1, n + 1):
|
| 538 |
-
if next_v not in visited:
|
| 539 |
-
edge_val = x_vals.get((current, next_v), 0.0)
|
| 540 |
-
if edge_val > tol:
|
| 541 |
-
_extend_depot_path(next_v, path_so_far + [next_v], arc_sum + edge_val,
|
| 542 |
-
visited | {next_v}, x_vals, n, max_len, results, tol)
|
| 543 |
-
|
| 544 |
-
|
| 545 |
-
def _extend_depot_path_backward(current, path_so_far, arc_sum, visited, x_vals, n, max_len, results, tol):
|
| 546 |
-
"""Extend a path backward (for paths ending at depot)."""
|
| 547 |
-
path_len = len(path_so_far) - 1
|
| 548 |
-
if path_len >= 1:
|
| 549 |
-
t_sum = 0.0
|
| 550 |
-
for j in range(len(path_so_far)):
|
| 551 |
-
for h in range(j + 1, len(path_so_far)):
|
| 552 |
-
t_sum += x_vals.get((path_so_far[j], path_so_far[h]), 0.0)
|
| 553 |
-
results.append((list(path_so_far), arc_sum, t_sum))
|
| 554 |
-
|
| 555 |
-
if path_len >= max_len:
|
| 556 |
-
return
|
| 557 |
-
|
| 558 |
-
for prev_v in range(1, n + 1):
|
| 559 |
-
if prev_v not in visited:
|
| 560 |
-
edge_val = x_vals.get((prev_v, current), 0.0)
|
| 561 |
-
if edge_val > tol:
|
| 562 |
-
_extend_depot_path_backward(prev_v, [prev_v] + path_so_far, arc_sum + edge_val,
|
| 563 |
-
visited | {prev_v}, x_vals, n, max_len, results, tol)
|
| 564 |
-
|
| 565 |
-
|
| 566 |
-
# =============================================================================
|
| 567 |
-
# CUT GENERATION HELPERS
|
| 568 |
-
# =============================================================================
|
| 569 |
-
|
| 570 |
-
def compute_tournament_lhs(path, x_vars_dict):
|
| 571 |
-
"""
|
| 572 |
-
Compute the LHS of the tournament constraint (7) for a given path.
|
| 573 |
-
Sum of x_{p_j, p_h} for all j < h in the path.
|
| 574 |
-
"""
|
| 575 |
-
total = 0.0
|
| 576 |
-
for j in range(len(path)):
|
| 577 |
-
for h in range(j + 1, len(path)):
|
| 578 |
-
var = x_vars_dict.get((path[j], path[h]))
|
| 579 |
-
if var is not None:
|
| 580 |
-
total += var
|
| 581 |
-
return total
|
| 582 |
-
|
| 583 |
-
|
| 584 |
-
def add_tournament_cut(model, pickup_path, delivery_path, x_P, x_D, where):
|
| 585 |
-
"""Add tournament constraint (7) as a lazy constraint."""
|
| 586 |
-
rhs = (len(pickup_path) - 1) + (len(delivery_path) - 1) - 1
|
| 587 |
-
|
| 588 |
-
lhs_expr = 0
|
| 589 |
-
for j in range(len(pickup_path)):
|
| 590 |
-
for h in range(j + 1, len(pickup_path)):
|
| 591 |
-
key = (pickup_path[j], pickup_path[h])
|
| 592 |
-
if key in x_P:
|
| 593 |
-
lhs_expr += x_P[key]
|
| 594 |
-
|
| 595 |
-
for j in range(len(delivery_path)):
|
| 596 |
-
for h in range(j + 1, len(delivery_path)):
|
| 597 |
-
key = (delivery_path[j], delivery_path[h])
|
| 598 |
-
if key in x_D:
|
| 599 |
-
lhs_expr += x_D[key]
|
| 600 |
-
|
| 601 |
-
model.cbLazy(lhs_expr <= rhs)
|
| 602 |
-
|
| 603 |
-
|
| 604 |
-
def add_lifted_tournament_cut(model, pickup_path, delivery_path, clique, x_P, x_D, where):
|
| 605 |
-
"""Add lifted tournament constraint (8) as a lazy constraint."""
|
| 606 |
-
rhs = (len(pickup_path) - 1) + (len(delivery_path) - 1) - 1
|
| 607 |
-
|
| 608 |
-
lhs_expr = 0
|
| 609 |
-
|
| 610 |
-
# Forward arcs in pickup path
|
| 611 |
-
for j in range(len(pickup_path)):
|
| 612 |
-
for h in range(j + 1, len(pickup_path)):
|
| 613 |
-
key = (pickup_path[j], pickup_path[h])
|
| 614 |
-
if key in x_P:
|
| 615 |
-
lhs_expr += x_P[key]
|
| 616 |
-
|
| 617 |
-
# Forward arcs in delivery path
|
| 618 |
-
for j in range(len(delivery_path)):
|
| 619 |
-
for h in range(j + 1, len(delivery_path)):
|
| 620 |
-
key = (delivery_path[j], delivery_path[h])
|
| 621 |
-
if key in x_D:
|
| 622 |
-
lhs_expr += x_D[key]
|
| 623 |
-
|
| 624 |
-
# Reverse arcs within segments between consecutive clique vertices (pickup)
|
| 625 |
-
clique_set = set(clique)
|
| 626 |
-
pickup_clique_positions = [i for i, v in enumerate(pickup_path) if v in clique_set]
|
| 627 |
-
for ci in range(len(pickup_clique_positions)):
|
| 628 |
-
start_pos = pickup_clique_positions[ci]
|
| 629 |
-
end_pos = pickup_clique_positions[ci + 1] if ci + 1 < len(pickup_clique_positions) else len(pickup_path)
|
| 630 |
-
segment = pickup_path[start_pos:end_pos]
|
| 631 |
-
# Add reverse arcs within this segment (j > h, i.e., backward arcs)
|
| 632 |
-
for j in range(len(segment)):
|
| 633 |
-
for h in range(j):
|
| 634 |
-
key = (segment[j], segment[h])
|
| 635 |
-
if key in x_P:
|
| 636 |
-
lhs_expr += x_P[key]
|
| 637 |
-
|
| 638 |
-
# Reverse arcs within segments between consecutive clique vertices (delivery)
|
| 639 |
-
delivery_clique_positions = [i for i, v in enumerate(delivery_path) if v in clique_set]
|
| 640 |
-
for ci in range(len(delivery_clique_positions)):
|
| 641 |
-
start_pos = delivery_clique_positions[ci]
|
| 642 |
-
end_pos = delivery_clique_positions[ci + 1] if ci + 1 < len(delivery_clique_positions) else len(delivery_path)
|
| 643 |
-
segment = delivery_path[start_pos:end_pos]
|
| 644 |
-
for j in range(len(segment)):
|
| 645 |
-
for h in range(j):
|
| 646 |
-
key = (segment[j], segment[h])
|
| 647 |
-
if key in x_D:
|
| 648 |
-
lhs_expr += x_D[key]
|
| 649 |
-
|
| 650 |
-
model.cbLazy(lhs_expr <= rhs)
|
| 651 |
-
|
| 652 |
-
|
| 653 |
-
# =============================================================================
|
| 654 |
-
# GUROBI CALLBACK
|
| 655 |
-
# =============================================================================
|
| 656 |
-
|
| 657 |
-
def dtspms_callback(model, where):
|
| 658 |
-
"""Gurobi callback for lazy constraint generation."""
|
| 659 |
-
if where == GRB.Callback.MIPSOL:
|
| 660 |
-
# Integer solution found - check for subtours and loading feasibility
|
| 661 |
-
n = model._n
|
| 662 |
-
s = model._s
|
| 663 |
-
l = model._l
|
| 664 |
-
x_P = model._x_P
|
| 665 |
-
x_D = model._x_D
|
| 666 |
-
|
| 667 |
-
# Get solution values
|
| 668 |
-
x_P_vals = {}
|
| 669 |
-
x_D_vals = {}
|
| 670 |
-
for (i, j), var in x_P.items():
|
| 671 |
-
x_P_vals[(i, j)] = model.cbGetSolution(var)
|
| 672 |
-
for (i, j), var in x_D.items():
|
| 673 |
-
x_D_vals[(i, j)] = model.cbGetSolution(var)
|
| 674 |
-
|
| 675 |
-
# Check subtours in pickup
|
| 676 |
-
subtours_P = find_subtours(n, x_P_vals)
|
| 677 |
-
for S in subtours_P:
|
| 678 |
-
expr = gp.quicksum(x_P[(i, j)] for i in S for j in S if i != j and (i, j) in x_P)
|
| 679 |
-
model.cbLazy(expr <= len(S) - 1)
|
| 680 |
-
|
| 681 |
-
# Check subtours in delivery
|
| 682 |
-
subtours_D = find_subtours(n, x_D_vals)
|
| 683 |
-
for S in subtours_D:
|
| 684 |
-
expr = gp.quicksum(x_D[(i, j)] for i in S for j in S if i != j and (i, j) in x_D)
|
| 685 |
-
model.cbLazy(expr <= len(S) - 1)
|
| 686 |
-
|
| 687 |
-
if subtours_P or subtours_D:
|
| 688 |
-
return
|
| 689 |
-
|
| 690 |
-
# No subtours - extract the tours
|
| 691 |
-
pickup_tour = extract_tour(n, x_P_vals)
|
| 692 |
-
delivery_tour = extract_tour(n, x_D_vals)
|
| 693 |
-
|
| 694 |
-
if pickup_tour is None or delivery_tour is None:
|
| 695 |
-
return
|
| 696 |
-
|
| 697 |
-
# Check loading feasibility
|
| 698 |
-
pickup_customers = pickup_tour[1:] # exclude depot
|
| 699 |
-
delivery_customers = delivery_tour[1:]
|
| 700 |
-
|
| 701 |
-
feasible, cliques = check_loading_feasibility(
|
| 702 |
-
pickup_customers, delivery_customers, s, l
|
| 703 |
-
)
|
| 704 |
-
|
| 705 |
-
if not feasible:
|
| 706 |
-
# Add tournament constraint (7)
|
| 707 |
-
add_tournament_cut(model, pickup_customers, delivery_customers, x_P, x_D, where)
|
| 708 |
-
|
| 709 |
-
# Also add reverse cut for symmetric costs
|
| 710 |
-
add_tournament_cut(model, list(reversed(pickup_customers)),
|
| 711 |
-
list(reversed(delivery_customers)), x_P, x_D, where)
|
| 712 |
-
|
| 713 |
-
# Add lifted tournament constraints (8) for cliques > s
|
| 714 |
-
for clique in cliques:
|
| 715 |
-
if len(clique) > s:
|
| 716 |
-
add_lifted_tournament_cut(model, pickup_customers, delivery_customers,
|
| 717 |
-
clique, x_P, x_D, where)
|
| 718 |
-
|
| 719 |
-
elif where == GRB.Callback.MIPNODE:
|
| 720 |
-
# Fractional solution at a node - separate subtours and infeasible paths
|
| 721 |
-
if model.cbGet(GRB.Callback.MIPNODE_STATUS) != GRB.OPTIMAL:
|
| 722 |
-
return
|
| 723 |
-
|
| 724 |
-
n = model._n
|
| 725 |
-
s = model._s
|
| 726 |
-
l = model._l
|
| 727 |
-
x_P = model._x_P
|
| 728 |
-
x_D = model._x_D
|
| 729 |
-
tol = 1e-4
|
| 730 |
-
|
| 731 |
-
# Get relaxation values
|
| 732 |
-
x_P_vals = {}
|
| 733 |
-
x_D_vals = {}
|
| 734 |
-
for (i, j), var in x_P.items():
|
| 735 |
-
x_P_vals[(i, j)] = model.cbGetNodeRel(var)
|
| 736 |
-
for (i, j), var in x_D.items():
|
| 737 |
-
x_D_vals[(i, j)] = model.cbGetNodeRel(var)
|
| 738 |
-
|
| 739 |
-
# Separate subtour elimination constraints
|
| 740 |
-
cut_added = False
|
| 741 |
-
|
| 742 |
-
violated_P = find_fractional_subtours(n, x_P_vals, tol)
|
| 743 |
-
for S in violated_P:
|
| 744 |
-
expr = gp.quicksum(x_P[(i, j)] for i in S for j in S if i != j and (i, j) in x_P)
|
| 745 |
-
model.cbCut(expr <= len(S) - 1)
|
| 746 |
-
cut_added = True
|
| 747 |
-
|
| 748 |
-
violated_D = find_fractional_subtours(n, x_D_vals, tol)
|
| 749 |
-
for S in violated_D:
|
| 750 |
-
expr = gp.quicksum(x_D[(i, j)] for i in S for j in S if i != j and (i, j) in x_D)
|
| 751 |
-
model.cbCut(expr <= len(S) - 1)
|
| 752 |
-
cut_added = True
|
| 753 |
-
|
| 754 |
-
if cut_added:
|
| 755 |
-
return
|
| 756 |
-
|
| 757 |
-
# Separate tournament constraints (7) on fractional paths
|
| 758 |
-
# Limit path enumeration to avoid excessive computation
|
| 759 |
-
max_path_len = min(n, 6) # **INFERRED ASSUMPTION**: limit path length for tractability
|
| 760 |
-
|
| 761 |
-
pickup_paths = enumerate_fractional_paths(n, x_P_vals, max_path_len, tol)
|
| 762 |
-
delivery_paths = enumerate_fractional_paths(n, x_D_vals, max_path_len, tol)
|
| 763 |
-
|
| 764 |
-
# Check pairs for violations
|
| 765 |
-
for p_path, p_arc_sum, p_tourn_sum in pickup_paths:
|
| 766 |
-
for d_path, d_arc_sum, d_tourn_sum in delivery_paths:
|
| 767 |
-
rhs = (len(p_path) - 1) + (len(d_path) - 1) - 1
|
| 768 |
-
total_sum = p_tourn_sum + d_tourn_sum
|
| 769 |
-
|
| 770 |
-
if total_sum > rhs + tol:
|
| 771 |
-
# Check loading feasibility
|
| 772 |
-
feasible, cliques = check_loading_feasibility(
|
| 773 |
-
p_path, d_path, s, l
|
| 774 |
-
)
|
| 775 |
-
if not feasible:
|
| 776 |
-
# Add tournament cut
|
| 777 |
-
lhs_expr = 0
|
| 778 |
-
for j in range(len(p_path)):
|
| 779 |
-
for h in range(j + 1, len(p_path)):
|
| 780 |
-
key = (p_path[j], p_path[h])
|
| 781 |
-
if key in x_P:
|
| 782 |
-
lhs_expr += x_P[key]
|
| 783 |
-
for j in range(len(d_path)):
|
| 784 |
-
for h in range(j + 1, len(d_path)):
|
| 785 |
-
key = (d_path[j], d_path[h])
|
| 786 |
-
if key in x_D:
|
| 787 |
-
lhs_expr += x_D[key]
|
| 788 |
-
model.cbCut(lhs_expr <= rhs)
|
| 789 |
-
|
| 790 |
-
# Reverse cut
|
| 791 |
-
rev_lhs = 0
|
| 792 |
-
rev_p = list(reversed(p_path))
|
| 793 |
-
rev_d = list(reversed(d_path))
|
| 794 |
-
for j in range(len(rev_p)):
|
| 795 |
-
for h in range(j + 1, len(rev_p)):
|
| 796 |
-
key = (rev_p[j], rev_p[h])
|
| 797 |
-
if key in x_P:
|
| 798 |
-
rev_lhs += x_P[key]
|
| 799 |
-
for j in range(len(rev_d)):
|
| 800 |
-
for h in range(j + 1, len(rev_d)):
|
| 801 |
-
key = (rev_d[j], rev_d[h])
|
| 802 |
-
if key in x_D:
|
| 803 |
-
rev_lhs += x_D[key]
|
| 804 |
-
model.cbCut(rev_lhs <= rhs)
|
| 805 |
-
return # Stop after first violated pair found
|
| 806 |
-
|
| 807 |
-
|
| 808 |
-
def extract_tour(n, x_vals):
|
| 809 |
-
"""Extract a Hamiltonian tour from integer solution values."""
|
| 810 |
-
adj = {}
|
| 811 |
-
for (i, j), val in x_vals.items():
|
| 812 |
-
if val > 0.5:
|
| 813 |
-
adj[i] = j
|
| 814 |
-
|
| 815 |
-
tour = [0]
|
| 816 |
-
current = 0
|
| 817 |
-
for _ in range(n):
|
| 818 |
-
next_v = adj.get(current)
|
| 819 |
-
if next_v is None:
|
| 820 |
-
return None
|
| 821 |
-
tour.append(next_v)
|
| 822 |
-
current = next_v
|
| 823 |
-
|
| 824 |
-
if adj.get(current) != 0:
|
| 825 |
-
return None
|
| 826 |
-
|
| 827 |
-
return tour
|
| 828 |
-
|
| 829 |
-
|
| 830 |
-
# =============================================================================
|
| 831 |
-
# MAIN MODEL
|
| 832 |
-
# =============================================================================
|
| 833 |
-
|
| 834 |
-
def solve_dtspms(instance_path, solution_path, time_limit):
|
| 835 |
-
"""Build and solve the DTSPMS model using Gurobi."""
|
| 836 |
-
data = load_instance(instance_path)
|
| 837 |
-
n, s, l, c_P, c_D = build_distance_matrices(data)
|
| 838 |
-
|
| 839 |
-
print(f"DTSPMS Instance: n={n}, s={s}, l={l}")
|
| 840 |
-
print(f"Time limit: {time_limit} seconds")
|
| 841 |
-
|
| 842 |
-
model = gp.Model("DTSPMS")
|
| 843 |
-
model.setParam("Threads", 1)
|
| 844 |
-
model.setParam("TimeLimit", time_limit)
|
| 845 |
-
model.setParam("LazyConstraints", 1)
|
| 846 |
-
model.setParam("OutputFlag", 1)
|
| 847 |
-
|
| 848 |
-
# Create variables x^P_{ij} and x^D_{ij}
|
| 849 |
-
x_P = {}
|
| 850 |
-
x_D = {}
|
| 851 |
-
V = list(range(n + 1)) # 0..n
|
| 852 |
-
|
| 853 |
-
for i in V:
|
| 854 |
-
for j in V:
|
| 855 |
-
if i != j: # x^T_{ii} = 0 (variable fixing, comment 4)
|
| 856 |
-
x_P[(i, j)] = model.addVar(vtype=GRB.BINARY, name=f"xP_{i}_{j}",
|
| 857 |
-
obj=c_P[i][j])
|
| 858 |
-
x_D[(i, j)] = model.addVar(vtype=GRB.BINARY, name=f"xD_{i}_{j}",
|
| 859 |
-
obj=c_D[i][j])
|
| 860 |
-
|
| 861 |
-
model.update()
|
| 862 |
-
|
| 863 |
-
# Objective: minimize total routing cost (1)
|
| 864 |
-
model.setAttr("ModelSense", GRB.MINIMIZE)
|
| 865 |
-
|
| 866 |
-
# Constraints (2): each vertex has exactly one successor (pickup)
|
| 867 |
-
for i in V:
|
| 868 |
-
model.addConstr(
|
| 869 |
-
gp.quicksum(x_P[(i, j)] for j in V if j != i) == 1,
|
| 870 |
-
name=f"outP_{i}"
|
| 871 |
-
)
|
| 872 |
-
|
| 873 |
-
# Constraints (3): each vertex has exactly one predecessor (pickup)
|
| 874 |
-
for j in V:
|
| 875 |
-
model.addConstr(
|
| 876 |
-
gp.quicksum(x_P[(i, j)] for i in V if i != j) == 1,
|
| 877 |
-
name=f"inP_{j}"
|
| 878 |
-
)
|
| 879 |
-
|
| 880 |
-
# Constraints (2): each vertex has exactly one successor (delivery)
|
| 881 |
-
for i in V:
|
| 882 |
-
model.addConstr(
|
| 883 |
-
gp.quicksum(x_D[(i, j)] for j in V if j != i) == 1,
|
| 884 |
-
name=f"outD_{i}"
|
| 885 |
-
)
|
| 886 |
-
|
| 887 |
-
# Constraints (3): each vertex has exactly one predecessor (delivery)
|
| 888 |
-
for j in V:
|
| 889 |
-
model.addConstr(
|
| 890 |
-
gp.quicksum(x_D[(i, j)] for i in V if i != j) == 1,
|
| 891 |
-
name=f"inD_{j}"
|
| 892 |
-
)
|
| 893 |
-
|
| 894 |
-
# 2-vertex subtour elimination: x^T_{ij} + x^T_{ji} <= 1 (Section 5.1)
|
| 895 |
-
for i in V:
|
| 896 |
-
for j in V:
|
| 897 |
-
if i < j:
|
| 898 |
-
model.addConstr(x_P[(i, j)] + x_P[(j, i)] <= 1, name=f"sec2P_{i}_{j}")
|
| 899 |
-
model.addConstr(x_D[(i, j)] + x_D[(j, i)] <= 1, name=f"sec2D_{i}_{j}")
|
| 900 |
-
|
| 901 |
-
# Simple position-based constraints (Section 5.1)
|
| 902 |
-
# Added when n >= (s-1)*l + 2
|
| 903 |
-
if n >= (s - 1) * l + 2:
|
| 904 |
-
for i in range(1, n + 1):
|
| 905 |
-
model.addConstr(x_P[(0, i)] + x_D[(0, i)] <= 1, name=f"pos_out_{i}")
|
| 906 |
-
model.addConstr(x_P[(i, 0)] + x_D[(i, 0)] <= 1, name=f"pos_in_{i}")
|
| 907 |
-
|
| 908 |
-
model.update()
|
| 909 |
-
|
| 910 |
-
# Store data for callback
|
| 911 |
-
model._x_P = x_P
|
| 912 |
-
model._x_D = x_D
|
| 913 |
-
model._n = n
|
| 914 |
-
model._s = s
|
| 915 |
-
model._l = l
|
| 916 |
-
|
| 917 |
-
# Optimize with callback
|
| 918 |
-
model.optimize(dtspms_callback)
|
| 919 |
-
|
| 920 |
-
# Extract solution
|
| 921 |
-
result = {"problem": "DTSPMS", "instance": instance_path}
|
| 922 |
-
|
| 923 |
-
if model.SolCount > 0:
|
| 924 |
-
obj_val = model.ObjVal
|
| 925 |
-
result["objective_value"] = obj_val
|
| 926 |
-
result["status"] = "optimal" if model.Status == GRB.OPTIMAL else "feasible"
|
| 927 |
-
result["gap"] = model.MIPGap if hasattr(model, 'MIPGap') else 0.0
|
| 928 |
-
|
| 929 |
-
# Extract tours
|
| 930 |
-
x_P_sol = {}
|
| 931 |
-
x_D_sol = {}
|
| 932 |
-
for (i, j), var in x_P.items():
|
| 933 |
-
x_P_sol[(i, j)] = var.X
|
| 934 |
-
for (i, j), var in x_D.items():
|
| 935 |
-
x_D_sol[(i, j)] = var.X
|
| 936 |
-
|
| 937 |
-
pickup_tour = extract_tour(n, x_P_sol)
|
| 938 |
-
delivery_tour = extract_tour(n, x_D_sol)
|
| 939 |
-
|
| 940 |
-
result["pickup_tour"] = pickup_tour
|
| 941 |
-
result["delivery_tour"] = delivery_tour
|
| 942 |
-
|
| 943 |
-
# Compute individual tour costs
|
| 944 |
-
if pickup_tour:
|
| 945 |
-
p_cost = sum(c_P[pickup_tour[i]][pickup_tour[i + 1]] for i in range(len(pickup_tour) - 1))
|
| 946 |
-
p_cost += c_P[pickup_tour[-1]][pickup_tour[0]]
|
| 947 |
-
result["pickup_cost"] = p_cost
|
| 948 |
-
if delivery_tour:
|
| 949 |
-
d_cost = sum(c_D[delivery_tour[i]][delivery_tour[i + 1]] for i in range(len(delivery_tour) - 1))
|
| 950 |
-
d_cost += c_D[delivery_tour[-1]][delivery_tour[0]]
|
| 951 |
-
result["delivery_cost"] = d_cost
|
| 952 |
-
else:
|
| 953 |
-
result["objective_value"] = None
|
| 954 |
-
result["status"] = "infeasible_or_no_solution"
|
| 955 |
-
|
| 956 |
-
result["solve_time"] = model.Runtime
|
| 957 |
-
|
| 958 |
-
# Write solution
|
| 959 |
-
with open(solution_path, 'w') as f:
|
| 960 |
-
json.dump(result, f, indent=2)
|
| 961 |
-
|
| 962 |
-
print(f"\nSolution written to {solution_path}")
|
| 963 |
-
if model.SolCount > 0:
|
| 964 |
-
print(f"Objective value: {result['objective_value']}")
|
| 965 |
-
print(f"Status: {result['status']}")
|
| 966 |
-
print(f"Pickup tour: {result.get('pickup_tour')}")
|
| 967 |
-
print(f"Delivery tour: {result.get('delivery_tour')}")
|
| 968 |
-
|
| 969 |
-
return result
|
| 970 |
-
|
| 971 |
-
|
| 972 |
-
# =============================================================================
|
| 973 |
-
# MAIN
|
| 974 |
-
# =============================================================================
|
| 975 |
-
|
| 976 |
-
if __name__ == "__main__":
|
| 977 |
-
parser = argparse.ArgumentParser(description="Solve DTSPMS using Gurobi (branch-and-cut)")
|
| 978 |
-
parser.add_argument("--instance_path", type=str, required=True,
|
| 979 |
-
help="Path to the JSON instance file")
|
| 980 |
-
parser.add_argument("--solution_path", type=str, default="gurobi_solution_1.json",
|
| 981 |
-
help="Path for the output solution JSON file")
|
| 982 |
-
parser.add_argument("--time_limit", type=int, default=3600,
|
| 983 |
-
help="Maximum solver runtime in seconds")
|
| 984 |
-
parser.add_argument("--log_path", type=str, default=None, help="Path to log incumbent solutions")
|
| 985 |
-
args = parser.parse_args()
|
| 986 |
-
install_gurobi_logger(args.log_path)
|
| 987 |
-
|
| 988 |
-
solve_dtspms(args.instance_path, args.solution_path, args.time_limit)
|
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alba2013/gurobi_feasi_result/large_feasi_result_1.json
DELETED
|
@@ -1,6 +0,0 @@
|
|
| 1 |
-
{
|
| 2 |
-
"feasible": true,
|
| 3 |
-
"violated_constraints": [],
|
| 4 |
-
"violations": [],
|
| 5 |
-
"violation_magnitudes": []
|
| 6 |
-
}
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alba2013/gurobi_feasi_result/large_feasi_result_2.json
DELETED
|
@@ -1,6 +0,0 @@
|
|
| 1 |
-
{
|
| 2 |
-
"feasible": true,
|
| 3 |
-
"violated_constraints": [],
|
| 4 |
-
"violations": [],
|
| 5 |
-
"violation_magnitudes": []
|
| 6 |
-
}
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alba2013/gurobi_feasi_result/large_feasi_result_3.json
DELETED
|
@@ -1,6 +0,0 @@
|
|
| 1 |
-
{
|
| 2 |
-
"feasible": true,
|
| 3 |
-
"violated_constraints": [],
|
| 4 |
-
"violations": [],
|
| 5 |
-
"violation_magnitudes": []
|
| 6 |
-
}
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alba2013/gurobi_feasi_result/large_feasi_result_4.json
DELETED
|
@@ -1,6 +0,0 @@
|
|
| 1 |
-
{
|
| 2 |
-
"feasible": true,
|
| 3 |
-
"violated_constraints": [],
|
| 4 |
-
"violations": [],
|
| 5 |
-
"violation_magnitudes": []
|
| 6 |
-
}
|
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alba2013/gurobi_feasi_result/large_feasi_result_5.json
DELETED
|
@@ -1,6 +0,0 @@
|
|
| 1 |
-
{
|
| 2 |
-
"feasible": true,
|
| 3 |
-
"violated_constraints": [],
|
| 4 |
-
"violations": [],
|
| 5 |
-
"violation_magnitudes": []
|
| 6 |
-
}
|
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|
alba2013/gurobi_feasi_result/tiny_feasi_result.json
DELETED
|
@@ -1,6 +0,0 @@
|
|
| 1 |
-
{
|
| 2 |
-
"feasible": true,
|
| 3 |
-
"violated_constraints": [],
|
| 4 |
-
"violations": [],
|
| 5 |
-
"violation_magnitudes": []
|
| 6 |
-
}
|
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|
alba2013/gurobi_solution/large_solution_1.json
DELETED
|
@@ -1,56 +0,0 @@
|
|
| 1 |
-
{
|
| 2 |
-
"problem": "DTSPMS",
|
| 3 |
-
"instance": "/scratch/chonghej/efficient-opt-bench/efficient_opt_benchmark/alba2013/instance/large_instance_11.json",
|
| 4 |
-
"objective_value": 7389.0,
|
| 5 |
-
"status": "optimal",
|
| 6 |
-
"gap": 0.0,
|
| 7 |
-
"pickup_tour": [
|
| 8 |
-
0,
|
| 9 |
-
16,
|
| 10 |
-
11,
|
| 11 |
-
18,
|
| 12 |
-
12,
|
| 13 |
-
1,
|
| 14 |
-
8,
|
| 15 |
-
13,
|
| 16 |
-
7,
|
| 17 |
-
2,
|
| 18 |
-
14,
|
| 19 |
-
19,
|
| 20 |
-
10,
|
| 21 |
-
3,
|
| 22 |
-
4,
|
| 23 |
-
5,
|
| 24 |
-
9,
|
| 25 |
-
15,
|
| 26 |
-
6,
|
| 27 |
-
20,
|
| 28 |
-
17
|
| 29 |
-
],
|
| 30 |
-
"delivery_tour": [
|
| 31 |
-
0,
|
| 32 |
-
13,
|
| 33 |
-
6,
|
| 34 |
-
17,
|
| 35 |
-
10,
|
| 36 |
-
8,
|
| 37 |
-
7,
|
| 38 |
-
20,
|
| 39 |
-
1,
|
| 40 |
-
5,
|
| 41 |
-
15,
|
| 42 |
-
9,
|
| 43 |
-
11,
|
| 44 |
-
3,
|
| 45 |
-
16,
|
| 46 |
-
12,
|
| 47 |
-
19,
|
| 48 |
-
4,
|
| 49 |
-
14,
|
| 50 |
-
18,
|
| 51 |
-
2
|
| 52 |
-
],
|
| 53 |
-
"pickup_cost": 3545,
|
| 54 |
-
"delivery_cost": 3844,
|
| 55 |
-
"solve_time": 37.5076379776001
|
| 56 |
-
}
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|
alba2013/gurobi_solution/large_solution_2.json
DELETED
|
@@ -1,56 +0,0 @@
|
|
| 1 |
-
{
|
| 2 |
-
"problem": "DTSPMS",
|
| 3 |
-
"instance": "/home/qua/Code/efficient_opt_bench/efficient_opt_benchmark/alba2013/instance/large_instance_21.json",
|
| 4 |
-
"objective_value": 1800.0,
|
| 5 |
-
"status": "optimal",
|
| 6 |
-
"gap": 0.0,
|
| 7 |
-
"pickup_tour": [
|
| 8 |
-
0,
|
| 9 |
-
18,
|
| 10 |
-
19,
|
| 11 |
-
4,
|
| 12 |
-
8,
|
| 13 |
-
2,
|
| 14 |
-
20,
|
| 15 |
-
3,
|
| 16 |
-
13,
|
| 17 |
-
6,
|
| 18 |
-
10,
|
| 19 |
-
14,
|
| 20 |
-
11,
|
| 21 |
-
12,
|
| 22 |
-
1,
|
| 23 |
-
5,
|
| 24 |
-
15,
|
| 25 |
-
16,
|
| 26 |
-
17,
|
| 27 |
-
9,
|
| 28 |
-
7
|
| 29 |
-
],
|
| 30 |
-
"delivery_tour": [
|
| 31 |
-
0,
|
| 32 |
-
9,
|
| 33 |
-
1,
|
| 34 |
-
7,
|
| 35 |
-
13,
|
| 36 |
-
8,
|
| 37 |
-
12,
|
| 38 |
-
17,
|
| 39 |
-
18,
|
| 40 |
-
5,
|
| 41 |
-
16,
|
| 42 |
-
10,
|
| 43 |
-
4,
|
| 44 |
-
11,
|
| 45 |
-
14,
|
| 46 |
-
6,
|
| 47 |
-
19,
|
| 48 |
-
15,
|
| 49 |
-
2,
|
| 50 |
-
3,
|
| 51 |
-
20
|
| 52 |
-
],
|
| 53 |
-
"pickup_cost": 938,
|
| 54 |
-
"delivery_cost": 862,
|
| 55 |
-
"solve_time": 108.2239739894867
|
| 56 |
-
}
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alba2013/gurobi_solution/large_solution_3.json
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alba2013/gurobi_solution/large_solution_4.json
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alba2013/gurobi_solution/large_solution_5.json
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|
alba2013/instance/large_instance_2.json
DELETED
|
@@ -1,1332 +0,0 @@
|
|
| 1 |
-
{
|
| 2 |
-
"problem_name": "DTSPMS",
|
| 3 |
-
"problem_full_name": "Double Traveling Salesman Problem with Multiple Stacks",
|
| 4 |
-
"instance_id": 2,
|
| 5 |
-
"scale_label": "medium",
|
| 6 |
-
"seed_used": 200200,
|
| 7 |
-
"parameters": {
|
| 8 |
-
"num_stacks_s": 4,
|
| 9 |
-
"stack_height_l": 5,
|
| 10 |
-
"num_requests_n": 20,
|
| 11 |
-
"num_pickup_vertices": 21,
|
| 12 |
-
"num_delivery_vertices": 21,
|
| 13 |
-
"coordinate_range": [
|
| 14 |
-
8.0,
|
| 15 |
-
288.0
|
| 16 |
-
],
|
| 17 |
-
"distance_metric": "rounded_euclidean",
|
| 18 |
-
"coord_source": "tsplib:a280"
|
| 19 |
-
},
|
| 20 |
-
"pickup_region": {
|
| 21 |
-
"depot_index": 0,
|
| 22 |
-
"coordinates": [
|
| 23 |
-
{
|
| 24 |
-
"vertex_id": 0,
|
| 25 |
-
"x": 124.0,
|
| 26 |
-
"y": 29.0
|
| 27 |
-
},
|
| 28 |
-
{
|
| 29 |
-
"vertex_id": 1,
|
| 30 |
-
"x": 104.0,
|
| 31 |
-
"y": 89.0
|
| 32 |
-
},
|
| 33 |
-
{
|
| 34 |
-
"vertex_id": 2,
|
| 35 |
-
"x": 228.0,
|
| 36 |
-
"y": 53.0
|
| 37 |
-
},
|
| 38 |
-
{
|
| 39 |
-
"vertex_id": 3,
|
| 40 |
-
"x": 236.0,
|
| 41 |
-
"y": 77.0
|
| 42 |
-
},
|
| 43 |
-
{
|
| 44 |
-
"vertex_id": 4,
|
| 45 |
-
"x": 180.0,
|
| 46 |
-
"y": 69.0
|
| 47 |
-
},
|
| 48 |
-
{
|
| 49 |
-
"vertex_id": 5,
|
| 50 |
-
"x": 40.0,
|
| 51 |
-
"y": 137.0
|
| 52 |
-
},
|
| 53 |
-
{
|
| 54 |
-
"vertex_id": 6,
|
| 55 |
-
"x": 196.0,
|
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