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  1. # -*- coding: utf-8 -*-
  2. import numpy as np
  3.  
  4. def cal_pop_fitness(equation_inputs, pop):
  5.     # Вычисление функции приспособленности (фитнесс-функции)
  6.     # Изначальная функция к максимизации для каждого гена в популяции
  7.     fitness = np.sum(pop*equation_inputs, axis=1)
  8.     return fitness
  9.  
  10. def select_mating_pool(pop, fitness, num_parents):
  11.     # Выбор лучших представителей популяции для дальнейшего скрещивания
  12.     parents = np.empty((num_parents, pop.shape[1]))
  13.     for parent_num in range(num_parents):
  14.         max_fitness_idx = np.where(fitness == np.max(fitness))
  15.         parents[parent_num, :] = pop[max_fitness_idx, :]
  16.         fitness[max_fitness_idx] = -99999999999
  17.     return parents
  18.  
  19. def crossover(parents, offspring_size):
  20.     # Выполнениее кроссовера с заменой половины генов (в центре)
  21.     offspring = np.empty(offspring_size)
  22.     crossover_point = np.uint8(offspring_size[1]/2)
  23.  
  24.     for k in range(offspring_size[0]):
  25.         parent1_idx = k%parents.shape[0]
  26.         parent2_idx = (k+1)%parents.shape[0]
  27.         offspring[k, 0:crossover_point] = parents[parent1_idx, 0:crossover_point]
  28.         offspring[k, crossover_point:] = parents[parent2_idx, crossover_point:]
  29.     return offspring
  30.  
  31. def mutation(offspring_crossover):
  32.     # Мутация случайного гена у каждого из детей
  33.     for idx in range(offspring_crossover.shape[0]):
  34.         random_value = np.random.uniform(-1, 1)
  35.         rand_idx = np.random.randint(0, 2)
  36.         offspring_crossover[idx, rand_idx] = offspring_crossover[idx, rand_idx] + random_value
  37.     return offspring_crossover
  38.  
  39. """
  40. Цель данного алгоритма в скорейшей максимизации следующей функции:
  41.     Y = w1x1+w2x2+w3x3+w4x4+w5x5+6wx6
  42.     где (x1,x2,x3,x4,x5,x6)=(8,-2,5,5,4,-4.7)
  43.     То есть требуется отталкиваясь от начальных случайных значений (w1,w2,w3,w4,w5,w6)
  44.     Найти такие значения, чтобы результат функции Y был максимальным
  45. """
  46.  
  47. # Коэффициенты заданного уравнения
  48. equation_inputs = [8,-2,5,5,4,-4.7]
  49.  
  50. # Количество переменных
  51. num_weights = len(equation_inputs)
  52.  
  53. """
  54. Параметры генетического алгоритма:
  55.     количество особей в популяции
  56.     количество родительский особей
  57. """
  58. sol_per_pop = 8
  59. num_parents_mating = 4
  60.  
  61. pop_size = (sol_per_pop,num_weights)
  62.  
  63. new_population = np.random.uniform(low=-2.0, high=2.0, size=pop_size)
  64. print(new_population)
  65.  
  66. num_generations = 1000
  67. best_result = 0
  68. for generation in range(num_generations):
  69.     print("Generation : ", generation)
  70.     # Измерение функции приспособленности для каждой особи в популяции
  71.     fitness = cal_pop_fitness(equation_inputs, new_population)
  72.  
  73.     # Выбор наилучших особей для становления их родителями
  74.     parents = select_mating_pool(new_population, fitness, num_parents_mating)
  75.  
  76.     # Проведения кроссовера особей
  77.     offspring_crossover = crossover(parents, offspring_size=(pop_size[0]-parents.shape[0], num_weights))
  78.  
  79.     # Проведение мутации генов детей данного поколения
  80.     offspring_mutation = mutation(offspring_crossover)
  81.  
  82.     # Создание конечной популяции на данной итерации из выбранных родителей и их детей
  83.     new_population[0:parents.shape[0], :] = parents
  84.     new_population[parents.shape[0]:, :] = offspring_mutation
  85.     # Лучший результат функции
  86.     best_result = np.max(np.sum(new_population*equation_inputs, axis=1))
  87.     print("Best result : ", best_result)
  88. # Получение конечного результата после последней итерации
  89. # Вычисление функции приспособленности для каждой особи на последней итерации
  90. fitness = cal_pop_fitness(equation_inputs, new_population)
  91. # Выбор особи с наилучшим показателем
  92. best_match_idx = np.where(fitness == np.max(fitness))
  93.  
  94. print("Best solution : ", new_population[best_match_idx, :])
  95. print("Best solution fitness : ", fitness[best_match_idx])
  96.  
Success #stdin #stdout 0.35s 27672KB
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[[-0.57231126  1.83929251  1.47065527  1.89715678  1.22817642 -1.85310046]
 [ 0.44891426 -0.1925533  -1.1508666  -1.85582859 -0.4174814   1.82354754]
 [ 1.24560499 -1.06894792  0.2843557   1.29746335 -1.55236011  1.003624  ]
 [-1.13760621  1.18796834  0.63466603 -0.99418101  1.88224292 -1.98304632]
 [ 1.14400949  0.00448735 -0.16916063 -0.2863337  -0.94871897 -0.45053502]
 [-1.35477601 -0.93648041  1.85746349  0.75472876 -0.52970479  1.59702029]
 [ 1.98821345 -0.54872737  0.03308227  0.85699782 -1.49820013 -1.25786564]
 [ 0.4730343   1.32520118 -0.65831197  0.54359152  0.41992869 -0.4559159 ]]
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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]
https://ideone.com/be2T6Y
language:
Python 3 (python  3.9.5)
created:
4 years ago
visibility:
public

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