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1、蚁群算法TSP(旅行商问题)通用 matlab 程序function R_best,L_best,L_ave,Shortest_Route,Shortest_Length=ACATSP(C,NC_max,m,Alpha,Beta,Rho,Q)%=%ACA TSP.m%Ant Colony Algorithm for Traveling Salesman Problem%ChengAihua,PLA Information Engineering University,ZhengZhou,China%Email:%All rights reserved%-%主要符号说明%C n 个城市的坐标，n
2、 2 的矩阵%NC_max 最大迭代次数%m 蚂蚁个数%Alpha 表征信息素重要程度的参数%Beta 表征启发式因子重要程度的参数%Rho 信息素蒸发系数%Q 信息素增加强度系数%R_best 各代最佳路线%L_best 各代最佳路线的长度%=%第一步：变量初始化n=size(C,1);%n 表示问题的规模（城市个数）D=zeros(n,n);%D 表示完全图的赋权邻接矩阵for i=1:n for j=1:n if i=j D(i,j)=(C(i,1)-C(j,1)2+(C(i,2)-C(j,2)2)0.5;else D(i,j)=eps;end D(j,i)=D(i,j);end end
3、 Eta=1./D;%Eta 为启发因子，这里设为距离的倒数Tau=ones(n,n);%Tau 为信息素矩阵Tabu=zeros(m,n);%存储并记录路径的生成NC=1;%迭代计数器R_best=zeros(NC_max,n);%各代最佳路线L_best=inf.*ones(NC_max,1);%各代最佳路线的长度L_ave=zeros(NC_max,1);%各代路线的平均长度while NC=rand);to_visit=J(Select(1);Tabu(i,j)=to_visit;end end if NC=2 Tabu(1,:)=R_best(NC-1,:);end%第四步：记录本次
4、迭代最佳路线L=zeros(m,1);for i=1:m R=Tabu(i,:);文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP
5、5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L
6、1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP
7、5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L
8、1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP
9、5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L
10、1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1for j=1:(n-1)L(i)=L(i)+D(R(j),R(j+1);end L(i)=L(i)+D(R(1),R(n);end L_best(NC)=min(L);pos=find(L=L_best(NC);R_best(NC,:)=Tabu(pos(1),:);L_av
11、e(NC)=mean(L);NC=NC+1%第五步：更新信息素Delta_Tau=zeros(n,n);for i=1:m for j=1:(n-1)Delta_Tau(Tabu(i,j),Tabu(i,j+1)=Delta_Tau(Tabu(i,j),Tabu(i,j+1)+Q/L(i);end Delta_Tau(Tabu(i,n),Tabu(i,1)=Delta_Tau(Tabu(i,n),Tabu(i,1)+Q/L(i);end Tau=(1-Rho).*Tau+Delta_Tau;%第六步：禁忌表清零Tabu=zeros(m,n);end%第七步：输出结果Pos=find(L_bes
12、t=min(L_best);Shortest_Route=R_best(Pos(1),:)Shortest_Length=L_best(Pos(1)subplot(1,2,1)DrawRoute(C,Shortest_Route)subplot(1,2,2)plot(L_best)hold on plot(L_ave)function DrawRoute(C,R)%=%DrawRoute.m%画路线图的子函数%-%C Coordinate 节点坐标，由一个N2 的矩阵存储%R Route 路线文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U
13、2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL
14、2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U
15、2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL
16、2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U
17、2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL
18、2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U
19、2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1%=N=length(R);scatter(C(:,1),C(:,2);hold on plot(C(R(1),1),C(R(N),1),C(R(1),2),C(R(N),2)hold on for ii=2:N plot(C(R(ii-1),1),C(R(ii),1),C(R(ii-1),2),C(R(ii),2)hold on end 设置初始参数如下：m=31;Alpha=1;Beta=5;Rho=0.1;NC_max=200;Q=100;31 城市坐
20、标为：1304 2312 3639 1315 4177 2244 3712 1399 3488 1535 3326 1556 3238 1229 4196 1004 4312 790 4386 570 3007 1970 2562 1756 2788 1491 2381 1676 1332 695 3715 1678 3918 2179 4061 2370 3780 2212 3676 2578 4029 2838 4263 2931 3429 1908 3507 2367 3394 2643 3439 3201 2935 3240 3140 3550 2545 2357 文档编码:CD1T9
21、U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 Z
22、L2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9
23、U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 Z
24、L2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9
25、U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 Z
26、L2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9
27、U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L12778 2826 2370 2975 运行后得到15602 的巡游路径，路线图和收敛曲线如下文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W
28、3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编
29、码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W
30、3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编
31、码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W
32、3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1文档编码:CD1T9U2R2F1 HP5N8W3G1O6 ZL2G1O5Q6L1