A = 15度D = 110R = 60度X = arctancosB tanAd = 1 - n cosX cosX + R + cosX - R D + _y tanA sinR cosX + R cosX - R约束条件:01 = n = 020 = B = 2 pi-2 1852 = _y = 2 1852目标:Maxd请使用遗传算法求解Maxd并给出代码
以下是使用遗传算法求解Max(d)的Python代码示例:
import math
import random
def fitness_function(individual):
A = 1.5
D = 110
R = math.radians(60)
n = individual[0]
B = individual[1]
_y = individual[2]
X = math.atan(math.cos(B) * math.tan(math.radians(A)))
d = ((1 - n) * math.cos(X) * (math.cos(X + R) + math.cos(X - R)) * (D + _y * math.tan(math.radians(A))) * math.sin(R)) / (math.cos(X + R) * math.cos(X - R))
return d
def generate_individual():
individual = [
random.uniform(0.1, 0.2), # n
random.uniform(0, 2 * math.pi), # B
random.uniform(-2 * 1852, 2 * 1852) # _y
]
return individual
def generate_population(population_size):
population = []
for _ in range(population_size):
individual = generate_individual()
population.append(individual)
return population
def crossover(parent1, parent2):
child = [
(parent1[0] + parent2[0]) / 2, # average of n
(parent1[1] + parent2[1]) / 2, # average of B
(parent1[2] + parent2[2]) / 2 # average of _y
]
return child
def mutate(individual, mutation_rate):
mutated_individual = individual[:]
for i in range(len(mutated_individual)):
if random.random() < mutation_rate:
if i == 0: # mutate n
mutated_individual[i] = random.uniform(0.1, 0.2)
elif i == 1: # mutate B
mutated_individual[i] = random.uniform(0, 2 * math.pi)
elif i == 2: # mutate _y
mutated_individual[i] = random.uniform(-2 * 1852, 2 * 1852)
return mutated_individual
def select_parents(population):
sorted_population = sorted(population, key=fitness_function, reverse=True)
parents = sorted_population[:2]
return parents
def genetic_algorithm(population_size, generations, mutation_rate):
population = generate_population(population_size)
for _ in range(generations):
parents = select_parents(population)
child = crossover(parents[0], parents[1])
mutated_child = mutate(child, mutation_rate)
population.append(mutated_child)
population = population[:population_size]
best_individual = max(population, key=fitness_function)
best_fitness = fitness_function(best_individual)
return best_individual, best_fitness
# Example usage
population_size = 100
generations = 100
mutation_rate = 0.1
best_individual, best_fitness = genetic_algorithm(population_size, generations, mutation_rate)
print("Best Individual:", best_individual)
print("Best Fitness:", best_fitness)
在上述代码中,遗传算法的主要步骤包括生成初始种群、选择父代、交叉、变异和选择子代。fitness_function函数计算每个个体的适应度(即d的值)。generate_individual函数用于生成随机的个体。generate_population函数用于生成指定大小的初始种群。crossover函数用于执行交叉操作以生成子代。mutate函数用于执行变异操作。select_parents函数用于选择父代。genetic_algorithm函数则是遗传算法的主要逻辑,通过迭代生成新的子代,并返回最佳个体和最佳适应度。
请注意,由于没有提供完整的问题和约束条件,上述代码中的生成个体、交叉和变异等操作仅作为示例,并未针对具体问题进行优化。您可以根据具体问题的要求进行调整和优化。
原文地址: https://www.cveoy.top/t/topic/i3gS 著作权归作者所有。请勿转载和采集!