基于mpi4py和multiprocess的并行遗传算法用于解决旅行商问题的python代码
时间: 2024-05-08 07:21:35 浏览: 10
以下是基于mpi4py和multiprocess的并行遗传算法用于解决旅行商问题的Python代码:
```python
import random
import numpy as np
from mpi4py import MPI
from multiprocessing import Pool
comm = MPI.COMM_WORLD
rank = comm.Get_rank()
size = comm.Get_size()
cities = np.array([[0, 0], [0, 1], [0, 2], [0, 3], [1, 0], [1, 1], [1, 2], [1, 3], [2, 0], [2, 1], [2, 2], [2, 3], [3, 0], [3, 1], [3, 2], [3, 3]])
num_cities = len(cities)
population_size = 100
elite_size = 20
mutation_rate = 0.01
generations = 500
def distance(city1, city2):
x_distance = abs(city1[0] - city2[0])
y_distance = abs(city1[1] - city2[1])
distance = np.sqrt((x_distance ** 2) + (y_distance ** 2))
return distance
def fitness(route):
route_distance = 0
for i in range(num_cities):
from_city = route[i]
to_city = None
if i + 1 < num_cities:
to_city = route[i + 1]
else:
to_city = route[0]
route_distance += distance(cities[from_city], cities[to_city])
return route_distance
def create_route():
route = random.sample(range(num_cities), num_cities)
return route
def create_population():
population = []
for i in range(population_size):
population.append(create_route())
return population
def rank_routes(population):
fitness_results = {}
for i in range(len(population)):
fitness_results[i] = fitness(population[i])
return sorted(fitness_results.items(), key = lambda x : x[1])
def select(population_ranked):
selection_results = []
df = np.array(population_ranked)
df[:, 1] = 1 / df[:, 1].astype(np.float32)
df[:, 1] = df[:, 1] / df[:, 1].sum()
for i in range(elite_size):
selection_results.append(population_ranked[i][0])
for i in range(len(population_ranked) - elite_size):
pick = np.random.choice(len(population_ranked), 1, p = df[:, 1])[0]
selection_results.append(population_ranked[pick][0])
return selection_results
def breed(parent1, parent2):
child = [None] * num_cities
gene_a = int(random.random() * num_cities)
gene_b = int(random.random() * num_cities)
start_gene = min(gene_a, gene_b)
end_gene = max(gene_a, gene_b)
for i in range(start_gene, end_gene):
child[i] = parent1[i]
for i in range(num_cities):
if parent2[i] not in child:
for j in range(num_cities):
if child[j] is None:
child[j] = parent2[i]
break
return child
def breed_population(mating_pool):
children = []
pool = Pool(processes = (size - 1))
for i in range(0, len(mating_pool), 2):
child1, child2 = pool.apply_async(breed, (mating_pool[i], mating_pool[i + 1])).get()
children.append(child1)
children.append(child2)
pool.close()
return children
def mutate(individual):
for swapped in range(num_cities):
if random.random() < mutation_rate:
swap_with = int(random.random() * num_cities)
city1 = individual[swapped]
city2 = individual[swap_with]
individual[swapped] = city2
individual[swap_with] = city1
return individual
def mutate_population(population):
mutated_population = []
pool = Pool(processes = (size - 1))
for individual in population:
mutated_individual = pool.apply_async(mutate, (individual,)).get()
mutated_population.append(mutated_individual)
pool.close()
return mutated_population
def next_generation(current_generation):
population_ranked = rank_routes(current_generation)
mating_pool = select(population_ranked)
children = breed_population(mating_pool)
next_generation = mutate_population(children)
return next_generation
if rank == 0:
population = create_population()
else:
population = None
for i in range(generations):
if i % (generations // 10) == 0:
if rank == 0:
print("Generation:", i)
print("Best route:", rank_routes(population)[0][1])
comm.barrier()
if rank == 0:
population_split = np.array_split(population, size - 1)
else:
population_split = None
population_split = comm.scatter(population_split, root = 0)
new_population_split = next_generation(population_split)
new_population = comm.gather(new_population_split, root = 0)
if rank == 0:
population = [item for sublist in new_population for item in sublist]
if rank == 0:
print("Generation:", generations)
print("Best route:", rank_routes(population)[0][1])
```
该代码使用了MPI和multiprocess库,其中MPI用于实现并行化,而multiprocess用于实现并行化中的并发操作。在代码中,首先定义了需要计算的城市坐标和其他一些参数,如种群大小、杂交率、精英数和迭代次数等。然后定义了一些辅助函数,如计算两个城市之间的距离、计算一条路径的适应度、创建一条随机路径、创建一个随机种群等。
在主程序中,进程0首先创建了初始种群,并将其分成多个子种群分配给所有进程。然后,每个进程都进行了遗传算法的迭代,由于每个进程都有自己的种群子集,因此每个进程都可以独立地执行并行化计算。在每个进程中,首先对种群进行排名,选择出最好的个体和其他个体,然后对其他个体进行交叉和变异,生成新的种群。最后,新的种群被收集回进程0,并更新种群。在迭代之后,进程0打印出最优路径和距离。