from sklearn.cluster import KMeans import matplotlib.pyplot as plt import numpy as np import random, time, math from clustering import split_tour_across_clusters random.seed(2) 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) + 1e-10 def total_distance(cities): return sum([distance(cities[i - 1], cities[i]) for i in range(len(cities))]) class AntColony: def __init__(self, cities, n_ants, alpha=1, beta=2, evaporation=0.5, intensification=2, max_time=0.1): self.cities = cities self.n = len(cities) self.n_ants = n_ants self.alpha = alpha self.beta = beta self.evaporation = evaporation self.intensification = intensification self.max_time = max_time self.pheromones = [[1 / self.n for _ in range(self.n)] for __ in range(self.n)] def choose_next_city(self, ant): unvisited_cities = [i for i in range(self.n) if i not in ant] probabilities = [self.pheromones[ant[-1]][i] ** self.alpha * ((1 / distance(self.cities[ant[-1]], self.cities[i])) ** self.beta) for i in unvisited_cities] total = sum(probabilities) if total == 0: probabilities = [1 / len(unvisited_cities) for _ in unvisited_cities] else: probabilities = [p / total for p in probabilities] return np.random.choice(unvisited_cities, p=probabilities) def update_pheromones(self, ant): pheromones_delta = self.intensification / total_distance([self.cities[i] for i in ant]) for i in range(len(ant) - 1): self.pheromones[ant[i]][ant[i+1]] += pheromones_delta def run(self): best_ant = [] best_distance = float('inf') start_time = time.time() while time.time() - start_time < self.max_time: ants = [[random.randint(0, self.n - 1)] for _ in range(self.n_ants)] for ant in ants: for _ in range(self.n - 1): ant.append(self.choose_next_city(ant)) ant_distance = total_distance([self.cities[i] for i in ant]) if ant_distance < best_distance: best_distance = ant_distance best_ant = ant.copy() self.update_pheromones(ant) self.pheromones = [[(1 - self.evaporation) * p for p in row] for row in self.pheromones] return [self.cities[i] for i in best_ant] nb_ville = 50 max_coords = 10 nb_truck = 1 max_time = 1 nb_ants = 10 max_time_per_cluster = max_time / nb_truck 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 AntColony.run ant_colony = AntColony(cluster_cities, n_ants=nb_ants, max_time=max_time_per_cluster) best_route = ant_colony.run() best_routes.append((best_route, color)) print("Total distance for cluster", i, ": ", 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}") # add title with nb_ville, nb_truck and max_time plt.title(f"nb_ville = {nb_ville}, nb_truck = {nb_truck}, max_time = {max_time}") plt.show()