# -*- coding: utf-8 -*- import numpy as np def cal_pop_fitness(equation_inputs, pop): # Вычисление функции приспособленности (фитнесс-функции) # Изначальная функция к максимизации для каждого гена в популяции fitness = np.sum(pop*equation_inputs, axis=1) return fitness def select_mating_pool(pop, fitness, num_parents): # Выбор лучших представителей популяции для дальнейшего скрещивания parents = np.empty((num_parents, pop.shape[1])) for parent_num in range(num_parents): max_fitness_idx = np.where(fitness == np.max(fitness)) parents[parent_num, :] = pop[max_fitness_idx, :] fitness[max_fitness_idx] = -99999999999 return parents def crossover(parents, offspring_size): # Выполнениее кроссовера с заменой половины генов (в центре) offspring = np.empty(offspring_size) crossover_point = np.uint8(offspring_size[1]/2) for k in range(offspring_size[0]): parent1_idx = k%parents.shape[0] parent2_idx = (k+1)%parents.shape[0] offspring[k, 0:crossover_point] = parents[parent1_idx, 0:crossover_point] offspring[k, crossover_point:] = parents[parent2_idx, crossover_point:] return offspring def mutation(offspring_crossover): # Мутация случайного гена у каждого из детей for idx in range(offspring_crossover.shape[0]): random_value = np.random.uniform(-1, 1) rand_idx = np.random.randint(0, 2) offspring_crossover[idx, rand_idx] = offspring_crossover[idx, rand_idx] + random_value return offspring_crossover """ Цель данного алгоритма в скорейшей максимизации следующей функции: Y = w1x1+w2x2+w3x3+w4x4+w5x5+6wx6 где (x1,x2,x3,x4,x5,x6)=(8,-2,5,5,4,-4.7) То есть требуется отталкиваясь от начальных случайных значений (w1,w2,w3,w4,w5,w6) Найти такие значения, чтобы результат функции Y был максимальным """ # Коэффициенты заданного уравнения equation_inputs = [8,-2,5,5,4,-4.7] # Количество переменных num_weights = len(equation_inputs) """ Параметры генетического алгоритма: количество особей в популяции количество родительский особей """ sol_per_pop = 8 num_parents_mating = 4 pop_size = (sol_per_pop,num_weights) new_population = np.random.uniform(low=-2.0, high=2.0, size=pop_size) print(new_population) num_generations = 1000 best_result = 0 for generation in range(num_generations): print("Generation : ", generation) # Измерение функции приспособленности для каждой особи в популяции fitness = cal_pop_fitness(equation_inputs, new_population) # Выбор наилучших особей для становления их родителями parents = select_mating_pool(new_population, fitness, num_parents_mating) # Проведения кроссовера особей offspring_crossover = crossover(parents, offspring_size=(pop_size[0]-parents.shape[0], num_weights)) # Проведение мутации генов детей данного поколения offspring_mutation = mutation(offspring_crossover) # Создание конечной популяции на данной итерации из выбранных родителей и их детей new_population[0:parents.shape[0], :] = parents new_population[parents.shape[0]:, :] = offspring_mutation # Лучший результат функции best_result = np.max(np.sum(new_population*equation_inputs, axis=1)) print("Best result : ", best_result) # Получение конечного результата после последней итерации # Вычисление функции приспособленности для каждой особи на последней итерации fitness = cal_pop_fitness(equation_inputs, new_population) # Выбор особи с наилучшим показателем best_match_idx = np.where(fitness == np.max(fitness)) print("Best solution : ", new_population[best_match_idx, :]) print("Best solution fitness : ", fitness[best_match_idx])
Standard input is empty
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2139.0572565451553 Generation : 998 Best result : 2143.1611142830443 Generation : 999 Best result : 2143.1611142830443 Best solution : [[[ 2.47603606e+02 -6.95293975e+01 3.30822651e-02 1.89715678e+00 1.22817642e+00 -1.85310046e+00]]] Best solution fitness : [2143.16111428]