旅行商问题python代码
时间: 2023-05-19 18:00:48 浏览: 78
以下是一个旅行商问题的 Python 代码:
```python
import itertools
def tsp(cities):
shortest_path = None
shortest_distance = float('inf')
for path in itertools.permutations(cities):
distance = sum(distance_between(path[i], path[i+1]) for i in range(len(path)-1))
if distance < shortest_distance:
shortest_distance = distance
shortest_path = path
return shortest_path, shortest_distance
def distance_between(city1, city2):
# 计算两个城市之间的距离
pass
# 示例用法
cities = ['A', 'B', 'C', 'D']
shortest_path, shortest_distance = tsp(cities)
print(f'Shortest path: {shortest_path}')
print(f'Shortest distance: {shortest_distance}')
```
这个代码使用了 itertools.permutations 函数来生成所有可能的路径,然后计算每个路径的总距离,最后返回最短路径和距离。其中 distance_between 函数需要根据实际情况来实现,用于计算两个城市之间的距离。