用python写一个解决tsp问题的算法
时间: 2024-05-13 21:14:14 浏览: 73
TSP算法(Python实现)
好的,下面是一个简单的TSP问题的近似算法,使用Python语言实现。
``` python
import numpy as np
import random
# TSP问题的近似算法
def tsp_approx(dists, start_city=None):
"""
:param dists: 二维数组,表示城市之间的距离矩阵
:param start_city: 起始城市编号,默认为0
:return: 最短路径长度,最短路径的顺序
"""
num_cities = len(dists)
if start_city is None:
start_city = random.randint(0, num_cities-1)
cur_city = start_city
unvisited_cities = set(range(num_cities))
unvisited_cities.remove(cur_city)
path = [cur_city]
total_dist = 0
while unvisited_cities:
next_city = min(unvisited_cities, key=lambda x: dists[cur_city][x])
total_dist += dists[cur_city][next_city]
cur_city = next_city
unvisited_cities.remove(cur_city)
path.append(cur_city)
total_dist += dists[path[-1]][start_city]
return total_dist, path
```
这个算法使用贪心策略,每次选择距离当前城市最近的未访问城市。这种方法不能保证得到最优解,但是可以得到一个较好的近似解。
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