path2 / solver.py
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import math
import random
from typing import Dict, List, Tuple
import matplotlib.pyplot as plt
import numpy as np
import pandas as pd
# ---------------------------
# Data utils
# ---------------------------
def make_template_dataframe():
"""Blank template users can download/fill."""
return pd.DataFrame(
{
"id": ["A", "B", "C"],
"x": [10, -5, 15],
"y": [4, -12, 8],
"demand": [1, 2, 1],
"tw_start": [0, 0, 0], # optional: earliest arrival (soft)
"tw_end": [9999, 9999, 9999], # optional: latest arrival (soft)
"service": [0, 0, 0], # optional: service time at stop
}
)
def parse_uploaded_csv(file) -> pd.DataFrame:
df = pd.read_csv(file.name if hasattr(file, "name") else file)
required = {"id", "x", "y", "demand"}
missing = required - set(df.columns)
if missing:
raise ValueError(f"Missing required columns: {sorted(missing)}")
# fill optional columns if absent
if "tw_start" not in df.columns:
df["tw_start"] = 0
if "tw_end" not in df.columns:
df["tw_end"] = 999999
if "service" not in df.columns:
df["service"] = 0
# Normalize types
df["id"] = df["id"].astype(str)
for col in ["x", "y", "demand", "tw_start", "tw_end", "service"]:
df[col] = pd.to_numeric(df[col], errors="coerce")
df = df.dropna()
df.reset_index(drop=True, inplace=True)
return df
def generate_random_instance(
n_clients=30,
n_vehicles=4,
capacity=10,
spread=50,
demand_min=1,
demand_max=3,
seed=42,
) -> pd.DataFrame:
rng = np.random.default_rng(seed)
xs = rng.uniform(-spread, spread, size=n_clients)
ys = rng.uniform(-spread, spread, size=n_clients)
demands = rng.integers(demand_min, demand_max + 1, size=n_clients)
df = pd.DataFrame(
{
"id": [f"C{i+1}" for i in range(n_clients)],
"x": xs,
"y": ys,
"demand": demands,
"tw_start": np.zeros(n_clients, dtype=float),
"tw_end": np.full(n_clients, 999999.0),
"service": np.zeros(n_clients, dtype=float),
}
)
return df
# ---------------------------
# Geometry / distance helpers
# ---------------------------
def euclid(a: Tuple[float, float], b: Tuple[float, float]) -> float:
return float(math.hypot(a[0] - b[0], a[1] - b[1]))
def total_distance(points: List[Tuple[float, float]]) -> float:
return sum(euclid(points[i], points[i + 1]) for i in range(len(points) - 1))
# ---------------------------
# Sweep clustering (angle-based split)
# ---------------------------
def sweep_clusters(
df: pd.DataFrame,
depot: Tuple[float, float],
n_vehicles: int,
capacity: float,
) -> List[List[int]]:
"""
Assign clients to vehicles by angular sweep around the depot, roughly balancing
capacity (sum of 'demand').
Returns indices (row numbers) per cluster.
"""
dx = df["x"].values - depot[0]
dy = df["y"].values - depot[1]
ang = np.arctan2(dy, dx)
order = np.argsort(ang)
clusters: List[List[int]] = [[] for _ in range(n_vehicles)]
loads = [0.0] * n_vehicles
v = 0
for idx in order:
d = float(df.loc[idx, "demand"])
# if adding to current vehicle exceeds capacity *by a lot*, move to next
if loads[v] + d > capacity and v < n_vehicles - 1:
v += 1
clusters[v].append(int(idx))
loads[v] += d
return clusters
# ---------------------------
# Route construction + 2-opt
# ---------------------------
def nearest_neighbor_route(
pts: List[Tuple[float, float]],
start_idx: int = 0,
) -> List[int]:
n = len(pts)
unvisited = set(range(n))
route = [start_idx]
unvisited.remove(start_idx)
while unvisited:
last = route[-1]
nxt = min(unvisited, key=lambda j: euclid(pts[last], pts[j]))
route.append(nxt)
unvisited.remove(nxt)
return route
def two_opt(route: List[int], pts: List[Tuple[float, float]], max_iter=200) -> List[int]:
best = route[:]
best_len = total_distance([pts[i] for i in best])
n = len(route)
improved = True
it = 0
while improved and it < max_iter:
improved = False
it += 1
for i in range(1, n - 2):
for k in range(i + 1, n - 1):
new_route = best[:i] + best[i:k + 1][::-1] + best[k + 1:]
new_len = total_distance([pts[i] for i in new_route])
if new_len + 1e-9 < best_len:
best, best_len = new_route, new_len
improved = True
if improved is False:
break
return best
def build_route_for_cluster(
df: pd.DataFrame,
idxs: List[int],
depot: Tuple[float, float],
) -> List[int]:
"""
Build a TSP tour over cluster points and return client indices in visiting order.
Returns client indices (not including the depot) but representing the order.
"""
# Local point list: depot at 0, then cluster in order
pts = [depot] + [(float(df.loc[i, "x"]), float(df.loc[i, "y"])) for i in idxs]
# Greedy tour over all nodes
rr = nearest_neighbor_route(pts, start_idx=0)
# Ensure route starts at 0 and ends at 0 conceptually; we'll remove the 0s later
# Optimize with 2-opt, but keep depot fixed by converting to a path that starts at 0
rr = two_opt(rr, pts)
# remove the depot index 0 from the sequence (keep order of clients)
order = [idxs[i - 1] for i in rr if i != 0]
return order
# ---------------------------
# Solve wrapper
# ---------------------------
def solve_vrp(
df: pd.DataFrame,
depot: Tuple[float, float] = (0.0, 0.0),
n_vehicles: int = 4,
capacity: float = 10,
speed: float = 1.0,
) -> Dict:
"""
Returns:
{
'routes': List[List[int]] (row indices of df),
'total_distance': float,
'per_route_distance': List[float],
'assignments_table': pd.DataFrame,
'metrics': dict
}
"""
# 1) cluster
clusters = sweep_clusters(df, depot=depot, n_vehicles=n_vehicles, capacity=capacity)
# 2) route per cluster
routes: List[List[int]] = []
per_route_dist: List[float] = []
soft_tw_violations = 0
per_route_loads: List[float] = []
for cl in clusters:
if len(cl) == 0:
routes.append([])
per_route_dist.append(0.0)
per_route_loads.append(0.0)
continue
order = build_route_for_cluster(df, cl, depot)
routes.append(order)
# compute distance with depot as start/end
pts = [depot] + [(df.loc[i, "x"], df.loc[i, "y"]) for i in order] + [depot]
dist = total_distance(pts)
per_route_dist.append(dist)
# capacity + soft TW check
load = float(df.loc[order, "demand"].sum()) if len(order) else 0.0
per_route_loads.append(load)
# simple arrival time simulation (speed distance units per time)
t = 0.0
prev = depot
for i in order:
cur = (df.loc[i, "x"], df.loc[i, "y"])
t += euclid(prev, cur) / max(speed, 1e-9)
tw_s = float(df.loc[i, "tw_start"])
tw_e = float(df.loc[i, "tw_end"])
if t < tw_s:
t = tw_s # wait
if t > tw_e:
soft_tw_violations += 1
t += float(df.loc[i, "service"])
prev = cur
# back to depot time is irrelevant for TW in this simple model
total_dist = float(sum(per_route_dist))
# Build assignment table
rows = []
for v, route in enumerate(routes):
for seq, idx in enumerate(route, start=1):
rows.append(
{
"vehicle": v + 1,
"sequence": seq,
"id": df.loc[idx, "id"],
"x": float(df.loc[idx, "x"]),
"y": float(df.loc[idx, "y"]),
"demand": float(df.loc[idx, "demand"]),
}
)
assign_df = pd.DataFrame(rows).sort_values(["vehicle", "sequence"]).reset_index(drop=True)
metrics = {
"vehicles_used": int(sum(1 for r in routes if len(r) > 0)),
"total_distance": round(total_dist, 3),
"per_route_distance": [round(d, 3) for d in per_route_dist],
"per_route_load": per_route_loads,
"capacity": capacity,
"soft_time_window_violations": int(soft_tw_violations),
"note": "Heuristic solution (sweep → greedy → 2-opt). TW are soft (informational).",
}
return {
"routes": routes,
"total_distance": total_dist,
"per_route_distance": per_route_dist,
"assignments_table": assign_df,
"metrics": metrics,
}
# ---------------------------
# Visualization
# ---------------------------
# ---------------------------
# Visualization
# ---------------------------
from PIL import Image
import io
def plot_solution(
df: pd.DataFrame,
sol: Dict,
depot: Tuple[float, float] = (0.0, 0.0),
):
routes = sol["routes"]
fig, ax = plt.subplots(figsize=(7.5, 6.5))
ax.scatter([depot[0]], [depot[1]], s=120, marker="s", label="Depot", zorder=5)
# color cycle
colors = plt.rcParams["axes.prop_cycle"].by_key().get(
"color", ["C0","C1","C2","C3","C4","C5"]
)
for v, route in enumerate(routes):
if not route:
continue
c = colors[v % len(colors)]
xs = [depot[0]] + [float(df.loc[i, "x"]) for i in route] + [depot[0]]
ys = [depot[1]] + [float(df.loc[i, "y"]) for i in route] + [depot[1]]
ax.plot(xs, ys, "-", lw=2, color=c, alpha=0.9, label=f"Vehicle {v+1}")
ax.scatter(xs[1:-1], ys[1:-1], s=36, color=c, zorder=4)
# label sequence numbers lightly
for k, idx in enumerate(route, start=1):
ax.text(
float(df.loc[idx, "x"]),
float(df.loc[idx, "y"]),
str(k),
fontsize=8,
ha="center",
va="center",
color="white",
bbox=dict(boxstyle="circle,pad=0.2", fc=c, ec="none", alpha=0.7),
)
ax.set_title("Ride-Sharing / CVRP Routes (Heuristic)")
ax.set_xlabel("X")
ax.set_ylabel("Y")
ax.grid(True, alpha=0.25)
ax.legend(loc="best", fontsize=8, framealpha=0.9)
ax.set_aspect("equal", adjustable="box")
# ✅ Convert Matplotlib figure → PIL.Image for Gradio
buf = io.BytesIO()
fig.savefig(buf, format="png", bbox_inches="tight")
plt.close(fig)
buf.seek(0)
return Image.open(buf)