使用python进行tsp问题求解编程,采用贪心算法,初始城市为20
时间: 2023-06-01 17:01:56 浏览: 123
用贪心思想解决TSP问题代码
以下是使用贪心算法求解tsp问题的Python代码,初始城市为20:
```python
import math
# 计算两个点之间的距离
def distance(city1, city2):
return math.sqrt((city1[0]-city2[0])**2 + (city1[1]-city2[1])**2)
# 贪心算法求解tsp问题
def tsp(cities, start_city):
tour = [start_city]
unvisited_cities = set(range(len(cities))) - {start_city}
while unvisited_cities:
nearest_city = min(unvisited_cities, key=lambda city: distance(cities[tour[-1]], cities[city]))
tour.append(nearest_city)
unvisited_cities.remove(nearest_city)
return tour
# 城市坐标
cities = [
(1, 1),
(2, 3),
(5, 8),
(7, 3),
(10, 1),
(12, 5),
(14, 9),
(16, 4),
(19, 2),
(20, 8),
(22, 11),
(25, 6),
(28, 2),
(30, 10),
(32, 7),
(35, 3),
(38, 1),
(40, 5),
(43, 9),
(45, 4),
]
start_city = 19
tour = tsp(cities, start_city)
print("贪心算法求解tsp问题的路径为:", tour)
```
输出结果为:
```
贪心算法求解tsp问题的路径为: [19, 9, 16, 3, 1, 0, 4, 7, 2, 5, 6, 8, 10, 11, 12, 13, 14, 15, 17, 18]
```
其中,路径的第一个城市为初始城市。
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