a3-algorithmique-avancee/tests/03_cluster_recuit_no_animation.py

115 lines
3.8 KiB
Python

from sklearn.cluster import KMeans
import matplotlib.pyplot as plt
import numpy as np
import random, time, math
from libs.clustering import split_tour_across_clusters
def generate_cities(nb, max_coords=1000):
return [random.sample(range(max_coords), 2) for _ in range(nb)]
def distance(city1, city2):
return math.sqrt((city1[0] - city2[0]) ** 2 + (city1[1] - city2[1]) ** 2)
def total_distance(cities):
return sum([distance(cities[i - 1], cities[i]) for i in range(len(cities))])
previous_route = None
def simulated_annealing(cities, temperature=10000, cooling_rate=0.9999, temperature_ok=0.001, cluster_index=0):
interration = 0
current_solution = cities.copy()
best_solution = cities.copy()
while temperature > temperature_ok:
new_solution = current_solution.copy()
# Swap two cities in the route
i = random.randint(0, len(new_solution) - 1)
j = random.randint(0, len(new_solution) - 1)
new_solution[i], new_solution[j] = new_solution[j], new_solution[i]
# Calculate the acceptance probability
current_energy = total_distance(current_solution)
new_energy = total_distance(new_solution)
delta = new_energy - current_energy
if delta < 0 or random.random() < math.exp(-delta / temperature):
current_solution = new_solution
if total_distance(current_solution) < total_distance(best_solution):
best_solution = current_solution
# Cool down
temperature *= cooling_rate
interration += 1
# Print every 1000 iterations
if interration % 1000 == 0:
print("Cluster", cluster_index, ": iteration", interration, "with current total distance", total_distance(current_solution))
return best_solution
nb_ville = 20
max_coords = 1000
nb_truck = 4
temperature = 10000
cooling_rate = 0.999
temperature_ok = 0.001
start_time_generate = time.time()
cities = generate_cities(nb_ville, max_coords)
cities[0] = [max_coords/2, max_coords/2]
stop_time_generate = time.time()
start_time_split = time.time()
clusters = split_tour_across_clusters(cities, nb_truck)
stop_time_split = time.time()
for cluster in clusters.values():
print(len(cluster))
print("\n---- TIME ----")
print("generate cities time: ", stop_time_generate - start_time_generate)
print("split cities time: ", stop_time_split - start_time_split)
# create new figure for annealing paths
plt.figure()
colors = [
'#1f77b4', # Bleu moyen
'#ff7f0e', # Orange
'#2ca02c', # Vert
'#d62728', # Rouge
'#9467bd', # Violet
'#8c564b', # Marron
'#e377c2', # Rose
'#7f7f7f', # Gris
'#bcbd22', # Vert olive
'#17becf', # Turquoise
'#1b9e77', # Vert Teal
'#d95f02', # Orange foncé
'#7570b3', # Violet moyen
'#e7298a', # Fuchsia
'#66a61e', # Vert pomme
'#e6ab02', # Jaune or
'#a6761d', # Bronze
'#666666', # Gris foncé
'#f781bf', # Rose clair
'#999999', # Gris moyen
]
best_routes = []
for i, cluster_indices in enumerate(clusters.values()):
# Sélection d'une couleur pour le cluster
color = colors[i % len(colors)]
# Récupération des coordonnées de la ville
cluster_cities = [cities[index] for index in cluster_indices]
# Appel de la fonction simulated_annealing
best_route = simulated_annealing(cluster_cities, temperature, cooling_rate, temperature_ok)
best_routes.append((best_route, color))
print("Final solution for cluster ", i, ":", best_route)
print("Total distance: ", total_distance(best_route))
for i, (route, color) in enumerate(best_routes):
x = [city[0] for city in route]
y = [city[1] for city in route]
x.append(x[0])
y.append(y[0])
plt.plot(x, y, color=color, marker='x', linestyle='-', label=f"Cluster {i}")
plt.legend(loc="best")
plt.show()