python
import matplotlib.pyplot as plt
import networkx as nx
import networkx.algorithms.approximation as nx_app
import math
G = nx.random_geometric_graph(20, radius=0.4, seed=3)
pos = nx.get_node_attributes(G, "pos")
# Depot should be at (0,0)
pos[0] = (0.5, 0.5)
H = G.copy()
# Calculating the distances between the nodes as edge's weight.
for i in range(len(pos)):
for j in range(i + 1, len(pos)):
dist = math.hypot(pos[i][0] - pos[j][0], pos[i][1] - pos[j][1])
dist = dist
G.add_edge(i, j, weight=dist)
#cycle = nx_app.christofides(G, weight="weight")
cycle = nx_app.greedy_tsp(G)
edge_list = list(nx.utils.pairwise(cycle))
plt.figure(figsize=(8,8))
# Draw closest edges on each node only
nx.draw_networkx_edges(H, pos, edge_color="blue", width=0.5)
# Draw the route
nx.draw_networkx(
G,
pos,
with_labels=True,
edgelist=edge_list,
edge_color="red",
node_size=200,
width=3,
)
print("The route of the traveller is:", cycle)
plt.show()
christofides:
greedy:
参考资料:
https://networkx.org/documentation/stable/auto_examples/drawing/plot_tsp.html