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 random.seed(1) 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 draw_cities(cities, previous_route, color='b', title=' '): plt.title(title) # If there's a previous route, we remove it. if previous_route is not None: previous_route.remove() x = [city[0] for city in cities] y = [city[1] for city in cities] x.append(x[0]) y.append(y[0]) # We plot the route with the specified color and keep a reference to the Line2D object. previous_route, = plt.plot(x, y, color=color, marker='x', linestyle='-') plt.draw() plt.pause(0.005) # We return the reference so we can remove this route when a new one is found. return previous_route def simulated_annealing(cities, color='b', temperature=100000, cooling_rate=0.9999, temperature_ok=0.001): interration = 0 plt.ion() current_solution = cities.copy() best_solution = cities.copy() previous_route = draw_cities(best_solution, None, color, 'Initial solution') 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 previous_route = draw_cities(best_solution, previous_route, color, 'Current best solution, total distance = ' + str(total_distance(best_solution)) + ', iteration = ' + str(interration)) # Cool down temperature *= cooling_rate interration += 1 plt.ioff() return best_solution nb_ville = 200 max_coords = 1000 nb_truck = 4 temperature = 10000 cooling_rate = 0.999 temperature_ok = 0.000001 start_time_generate = time.time() cities = generate_cities(nb_ville, max_coords) # generate 100 cities cities[0] = [max_coords/2, max_coords/2] # placing depot at the center 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 = ['b', 'g', 'r', 'c', 'm', 'y', 'k'] 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 avec la couleur choisie best_route = simulated_annealing(cluster_cities, color, temperature, cooling_rate, temperature_ok) print("Final solution for cluster ", i, ":", best_route) print("Total distance: ", total_distance(best_route)) plt.show()