import numpy as np import random from deap import base, creator, tools, algorithms def cargo_load_planning_genetic(weights, cargo_names, cargo_types_dict, positions, cg_impact, cg_impact_2u, cg_impact_4u, max_positions, population_size=100, generations=100, crossover_prob=0.7, mutation_prob=0.2): """ 使用改进版遗传算法计算货物装载方案,最小化重心的变化量。 参数: weights (list): 每个货物的质量列表。 cargo_names (list): 每个货物的名称。 cargo_types_dict (dict): 货物名称和占用的货位数量。 positions (list): 可用的货位编号。 cg_impact (list): 每个位置每kg货物对重心index的影响系数。 cg_impact_2u (list): 两个位置组合的重心影响系数。 cg_impact_4u (list): 四个位置组合的重心影响系数。 max_positions (int): 总货位的数量。 population_size (int): 遗传算法的种群大小。 generations (int): 遗传算法的代数。 crossover_prob (float): 交叉操作的概率。 mutation_prob (float): 变异操作的概率。 返回: best_solution (np.array): 最优装载方案矩阵。 best_cg_change (float): 最优方案的重心变化量。 """ try: # 将货物类型映射为对应的占用单位数 cargo_types = [cargo_types_dict[name] for name in cargo_names] num_cargos = len(weights) # 货物数量 num_positions = len(positions) # 可用货位数量 # 定义适应度函数(最小化重心变化量) if not hasattr(creator, "FitnessMin"): creator.create("FitnessMin", base.Fitness, weights=(-1.0,)) # 目标是最小化 if not hasattr(creator, "Individual"): creator.create("Individual", list, fitness=creator.FitnessMin) toolbox = base.Toolbox() # 个体初始化函数 def init_individual(): individual = [] occupied = [False] * num_positions for cargo_type in cargo_types: if cargo_type == 1: valid_positions = [j for j in range(num_positions) if not occupied[j]] elif cargo_type == 2: valid_positions = [j for j in range(0, num_positions - 1, 2) if not any(occupied[j + k] for k in range(cargo_type))] elif cargo_type == 4: valid_positions = [j for j in range(0, num_positions - 3, 4) if not any(occupied[j + k] for k in range(cargo_type))] else: valid_positions = [] if not valid_positions: # 如果没有有效位置,随机选择一个符合类型对齐的起始位置 if cargo_type == 1: start_pos = random.randint(0, num_positions - 1) elif cargo_type == 2: choices = [j for j in range(0, num_positions - 1, 2)] if choices: start_pos = random.choice(choices) else: start_pos = 0 # 默认位置 elif cargo_type == 4: choices = [j for j in range(0, num_positions - 3, 4)] if choices: start_pos = random.choice(choices) else: start_pos = 0 # 默认位置 else: start_pos = 0 # 默认位置 else: start_pos = random.choice(valid_positions) individual.append(start_pos) # 标记占用的位置 for k in range(cargo_type): pos = start_pos + k if pos < num_positions: occupied[pos] = True return creator.Individual(individual) toolbox.register("individual", init_individual) toolbox.register("population", tools.initRepeat, list, toolbox.individual) # 适应度评估函数 def evaluate(individual): # 检查重叠和边界 occupied = [False] * num_positions penalty = 0 cg_change = 0.0 for i, start_pos in enumerate(individual): cargo_type = cargo_types[i] weight = weights[i] # 检查边界 if start_pos < 0 or start_pos + cargo_type > num_positions: penalty += 10000 # 超出边界的严重惩罚 continue # 检查重叠 overlap = False for k in range(cargo_type): pos = start_pos + k if occupied[pos]: penalty += 10000 # 重叠的严重惩罚 overlap = True break occupied[pos] = True if overlap: continue # 计算重心变化量 if cargo_type == 1: cg_change += abs(weight * cg_impact[start_pos]) elif cargo_type == 2: if start_pos % 2 == 0 and (start_pos // 2) < len(cg_impact_2u): cg_change += abs(weight * cg_impact_2u[start_pos // 2]) else: penalty += 10000 # 不对齐的严重惩罚 elif cargo_type == 4: if start_pos % 4 == 0 and (start_pos // 4) < len(cg_impact_4u): cg_change += abs(weight * cg_impact_4u[start_pos // 4]) else: penalty += 10000 # 不对齐的严重惩罚 return (cg_change + penalty,) toolbox.register("evaluate", evaluate) toolbox.register("mate", tools.cxOnePoint) # 改为单点交叉 toolbox.register("mutate", tools.mutShuffleIndexes, indpb=mutation_prob) # 使用交换变异 toolbox.register("select", tools.selRoulette) # 轮盘赌选择 # 初始化种群 population = toolbox.population(n=population_size) # 运行遗传算法 try: algorithms.eaSimple(population, toolbox, cxpb=crossover_prob, mutpb=1.0, ngen=generations, verbose=False) except ValueError as e: print(f"遗传算法运行时出错: {e}") return [], -1000000 # 返回空列表和一个负的重心变化量作为错误标志 # 选择最优个体 try: best_individual = tools.selBest(population, 1)[0] best_cg_change = evaluate(best_individual)[0] except IndexError as e: print(f"选择最优个体时出错: {e}") return [], -1000000 # 返回空列表和一个负的重心变化量作为错误标志 # 构建装载方案矩阵 solution = np.zeros((num_cargos, num_positions)) for i, start_pos in enumerate(best_individual): cargo_type = cargo_types[i] for k in range(cargo_type): pos = start_pos + k if pos < num_positions: solution[i, pos] = 1 return solution, best_cg_change except Exception as e: print(f"发生错误: {e}") return [], -1000000 # # # 示例输入和调用 # def main(): # weights = [500, 800, 1200, 300, 700, 1000, 600, 900] # 每个货物的质量 # cargo_names = ['LD3', 'LD3