Add files via upload

This commit is contained in:
David Lee
2021-10-17 21:43:09 +08:00
committed by GitHub
parent e80dbbd1fb
commit 26d826209a
2 changed files with 428 additions and 0 deletions

216
ACOPN_fixed.m Normal file
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close all
clc
clear
%%<EFBFBD><EFBFBD>ʼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʶ<EFBFBD>ͱ<EFBFBD>Ǩ<EFBFBD>ڵ<EFBFBD>%%
nodes_data=cell(0);
M_1=[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; %<EFBFBD><EFBFBD><EFBFBD><EFBFBD>25<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʶ<EFBFBD><EFBFBD>Ӧ<EFBFBD>ķ<EFBFBD><EFBFBD><EFBFBD>
M_2=[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
M_3=[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
M_4=[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
M_5=[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
M_6=[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
M_7=[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
M_8=[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
M_9=[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
M_10=[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
M_11=[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
M_12=[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0];
M_13=[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0];
M_14=[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0];
M_15=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0];
M_16=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0];
M_17=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0];
M_18=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0];
M_19=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0];
M_20=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0];
M_21=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0];
M_22=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0];
M_23=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0];
M_24=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0];
M_25=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1];
nodes_data(1,:)={1,[2,3],[1,1],[M_2;M_3]}; %<EFBFBD><EFBFBD><EFBFBD>ݱ<EFBFBD>Ǩ<EFBFBD><EFBFBD><EFBFBD>ڽ<EFBFBD><EFBFBD><EFBFBD>Ǩ<EFBFBD>ķ<EFBFBD><EFBFBD><EFBFBD>Ȩ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ǨԪ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
nodes_data(2,:)={2,[4,5],[1,sqrt(2)],[M_4;M_5]};
nodes_data(3,:)={3,[6],[1],[M_6]};
nodes_data(4,:)={4,[7,8],[sqrt(2),1],[M_7;M_5]};
nodes_data(5,:)={5,[9,10],[sqrt(2),1],[M_8;M_7]};
nodes_data(6,:)={6,[11,12],[1,sqrt(2)],[M_9;M_10]};
nodes_data(7,:)={7,[13,14],[1,1],[M_8;M_13]};
nodes_data(8,:)={8,[9,10],[sqrt(2),1],[M_8;M_7]};
nodes_data(9,:)={9,[15],[1],[M_18]};
nodes_data(10,:)={10,[13,14],[1,1],[M_8;M_13]};
nodes_data(11,:)={11,[16,17],[1,1],[M_10;M_11]};
nodes_data(12,:)={12,[18],[1],[M_12]};
nodes_data(13,:)={13,[15],[1],[M_18]};
nodes_data(14,:)={14,[23,24],[sqrt(2),1],[M_14;M_15]};
nodes_data(15,:)={15,[29],[1],[M_19]};
nodes_data(16,:)={16,[18],[1],[M_12]};
nodes_data(17,:)={17,[19,20],[1,sqrt(2)],[M_16;M_17]};
nodes_data(18,:)={18,[21,22],[1,sqrt(2)],[M_18;M_19]};
nodes_data(19,:)={19,[27],[1],[M_17]};
nodes_data(20,:)={20,[28],[1],[M_20]};
nodes_data(21,:)={21,[29],[1],[M_19]};
nodes_data(22,:)={22,[30,31],[1,sqrt(2)],[M_23;M_24]};
nodes_data(23,:)={23,[25],[1],[M_21]};
nodes_data(24,:)={24,[26],[1],[M_14]};
nodes_data(25,:)={25,[33],[1],[M_22]};
nodes_data(26,:)={26,[25],[1],[M_21]};
nodes_data(27,:)={27,[28],[1],[M_20]};
nodes_data(28,:)={28,[32],[1],[M_23]};
nodes_data(29,:)={29,[30,31],[1,sqrt(2)],[M_23;M_24]};
nodes_data(30,:)={30,[35],[1],[M_24]};
nodes_data(31,:)={31,[36],[1],[M_25]};
nodes_data(32,:)={32,[35],[1],[M_24]};
nodes_data(33,:)={33,[34],[1],[M_25]};
nodes_data(35,:)={35,[36],[1],[M_25]};
%% ʼĩ<EFBFBD>ڵ<EFBFBD>%%
node_start=1;
node_end=[34,36];
%%% <EFBFBD><EFBFBD>Ⱥ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>%%%%%
m=50; % <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
n=size(nodes_data,1); % <EFBFBD>ڵ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
alpha=1; % <EFBFBD><EFBFBD>Ϣ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ҫ<EFBFBD>̶<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
beta=5; % <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ҫ<EFBFBD>̶<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
Rho=0.5; % <EFBFBD><EFBFBD>Ϣ<EFBFBD>ػӷ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
Q=1; % <EFBFBD><EFBFBD>Ϣ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ǿ<EFBFBD><EFBFBD>ϵ<EFBFBD><EFBFBD>
%%<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>̳<EFBFBD>ʼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>%%%%
iter=1; % <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֵ
iter_max=100; % <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
Route_best=cell(iter_max,1); % <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>·<EFBFBD><EFBFBD>
Length_best=zeros(iter_max,1); % <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>·<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
Length_ave=zeros(iter_max,1); % <EFBFBD><EFBFBD><EFBFBD><EFBFBD>·<EFBFBD><EFBFBD>ƽ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
Place_best=cell(iter_max,1); % <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>·<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʵĿ<EFBFBD><EFBFBD><EFBFBD>
%%<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϣ<EFBFBD>ء<EFBFBD><EFBFBD>ӷ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>һ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>nodes_data<EFBFBD><EFBFBD>%%%%%
Delta_Tau_initial=nodes_data(:,1:2);
for i=1:size(nodes_data,1)
nodes_data{i,5}=ones(1,length(nodes_data{i,3})); % <EFBFBD><EFBFBD>ʼ<EFBFBD><EFBFBD>Ϣ<EFBFBD>ؾ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϊ1
nodes_data{i,6}=1./nodes_data{i,3}; % <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϊ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ĵ<EFBFBD><EFBFBD><EFBFBD>
Delta_Tau_initial{i,3}=zeros(1,length(nodes_data{i,3})); % <EFBFBD><EFBFBD>Ϣ<EFBFBD>ر<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϊ0
end
%% <EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ѱ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>·<EFBFBD><EFBFBD>%%%
while iter<iter_max
route=cell(0);
place=cell(0);
for i=1:m % <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ͻ<EFBFBD>·<EFBFBD><EFBFBD>ѡ<EFBFBD><EFBFBD>
neighbor_allow=cell(0);
node_step=node_start;
path=node_step;
path_M = 0;
if node_step==node_start
marking=M_1;
else
marking=nodes_data{node_step,4};
end
dist=0;
while ~isequal(marking(end,:), M_25)
neighbor=nodes_data{node_step,2}; %Ѱ<EFBFBD><EFBFBD><EFBFBD>ڽ<EFBFBD><EFBFBD>ڵ<EFBFBD>
neighbor_allow = [];
for k=1:length(neighbor)
if ~ismember(neighbor(k),path)
neighbor_allow(end+1) = neighbor(k);
end
end
if isempty(neighbor_allow)
neighbor_allow=cell(0);
node_step=node_start;
path=node_step;
if node_step==node_start
marking=M_1;
else
marking=nodes_data{node_step,4};
end
dist=0;
continue
end
P=neighbor_allow; %<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>һ<EFBFBD><EFBFBD><EFBFBD>ڵ<EFBFBD><EFBFBD>ķ<EFBFBD><EFBFBD>ʸ<EFBFBD><EFBFBD><EFBFBD>
for k=1:length(neighbor_allow)
idx = find(neighbor_allow(k) == nodes_data{node_step,2});
P(2,k)=nodes_data{node_step,5}(idx)^alpha*nodes_data{node_step,6}(idx)^beta;
end
P(2,:)=P(2,:)/sum(P(2,:));
%%<EFBFBD><EFBFBD><EFBFBD>̶ķ<EFBFBD>ѡ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>һ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʽڵ<EFBFBD>%%%%
Pc=cumsum(P(2,:));
Pc=[0,Pc];
randnum=rand;
for k=1:length(Pc)-1
if randnum>Pc(k)&&randnum<Pc(k+1)
target_node=neighbor_allow(k);
end
end
%%%<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>%%%
idx=find(nodes_data{node_step,2}==target_node);
dist=dist+nodes_data{node_step,3}(idx);
%%%<EFBFBD><EFBFBD><EFBFBD><EFBFBD>·<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ڵ<EFBFBD><EFBFBD>Լ<EFBFBD><EFBFBD><EFBFBD>ʶ%%%
path(end+1)=target_node; % <EFBFBD><EFBFBD><EFBFBD><EFBFBD>·<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
marking(end+1,:)=nodes_data{node_step,4}(idx,:); % <EFBFBD><EFBFBD><EFBFBD>±<EFBFBD>ʶ
node_step=target_node; % <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>һ<EFBFBD><EFBFBD>Ŀ<EFBFBD><EFBFBD><EFBFBD>ڵ<EFBFBD><EFBFBD><EFBFBD>Ǩ
end
Length(i,1)=dist; % <EFBFBD><EFBFBD><EFBFBD>ŵ<EFBFBD>iֻ<EFBFBD><EFBFBD><EFBFBD>ϵ<EFBFBD><EFBFBD>ۼƾ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ͷ<EFBFBD>Ӧ·<EFBFBD><EFBFBD>
route{i,1}=path;
place{i,1}=marking;
end
%%<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>һ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>mֻ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>̾<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ͷ<EFBFBD>Ӧ·<EFBFBD><EFBFBD>%%%
if iter==1
[min_Length,min_index]=min(Length);
Length_best(iter)=min_Length;
Length_ave(iter)=mean(Length);
Route_best{iter,1}=route{min_index,1};
Place_best(iter,1)=place(min_index,1);
else
[min_Length,min_index]=min(Length);
Length_best(iter)=min(Length_best(iter-1),min_Length);
Length_ave(iter)=mean(Length);
if Length_best(iter)==min_Length
Route_best{iter,1}=route{min_index,1};
Place_best(iter,1)=place(min_index,1);
else
Route_best{iter,1}=Route_best{iter-1,1};
Place_best(iter,1)=Place_best(iter-1,1);
end
end
%%%<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϣ<EFBFBD><EFBFBD>%%%
Delta_Tau=Delta_Tau_initial;
for i=1:m % <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ϼ<EFBFBD><EFBFBD><EFBFBD>
for j=1:length(route{i,1})-1
node_start_temp=route{i,1}(j);
node_end_temp=route{i,1}(j+1);
idx=find(Delta_Tau{node_start_temp,2}==node_end_temp);
if ismember(route{i,1}(j),[1,2,3,5,6,9,12,15,18,22,29,31,35]);
Delta_Tau{node_start_temp,3}(idx)=Delta_Tau{node_start_temp,3}(idx)+1/8.2426;
else
Delta_Tau{node_start_temp,3}(idx)=Delta_Tau{node_start_temp,3}(idx);
end
end
end
%%<EFBFBD><EFBFBD><EFBFBD>ǻӷ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ӣ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϣ<EFBFBD><EFBFBD>%%%
for i=1:size(nodes_data,1)
nodes_data{i,5}=(1-Rho)*nodes_data{i,5}+Rho*Delta_Tau{i,3};
end
iter=iter+1;
end
% %<EFBFBD><EFBFBD>ͼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>%%%
figure
plot(1:iter_max,Length_best,'b',1:iter_max,Length_ave,'r');
legend('<EFBFBD><EFBFBD><EFBFBD>̾<EFBFBD><EFBFBD><EFBFBD>','ƽ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>');
xlabel('<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>');
ylabel('<EFBFBD><EFBFBD><EFBFBD><EFBFBD>');
title('<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>̾<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ƽ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ա<EFBFBD>');
%% <EFBFBD><EFBFBD><EFBFBD><EFBFBD>·<EFBFBD><EFBFBD>%%%
[dist_min,idx]=min(Length_best(1:end-1));
path_opt=Route_best{idx,1};
marking_opt=Place_best{idx,1};
%%<EFBFBD><EFBFBD>marking_optתΪ<EFBFBD>ַ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>%%%
M_set = cell(0);
M_seq = [];
for i = 1:size(marking_opt,1)
idx = find(marking_opt(i,:) == 1);
M_set{i,1} = strcat('M_',num2str(idx));
M_seq = [M_seq, strcat(M_set{i,1},',')];
end
disp('<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ҫ<EFBFBD>ߵ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>·<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϊ<EFBFBD><EFBFBD>')
disp(dist_min)
disp('<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>˾<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>·<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>˳<EFBFBD><EFBFBD>Ϊ<EFBFBD><EFBFBD>')
disp(M_seq(1:end-1))
disp('<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>˾<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>·<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ǩ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϊ<EFBFBD><EFBFBD>')
disp(path_opt)

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close all
clc
clear
%%<EFBFBD><EFBFBD>ʼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʶ<EFBFBD>ͱ<EFBFBD>Ǩ<EFBFBD>ڵ<EFBFBD>%%
nodes_data=cell(0);
M_1=[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; %<EFBFBD><EFBFBD><EFBFBD><EFBFBD>25<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʶ<EFBFBD><EFBFBD>Ӧ<EFBFBD>ķ<EFBFBD><EFBFBD><EFBFBD>
M_2=[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
M_3=[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
M_4=[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
M_5=[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
M_6=[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
M_7=[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
M_8=[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
M_9=[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
M_10=[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
M_11=[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
M_12=[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0];
M_13=[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0];
M_14=[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0];
M_15=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0];
M_16=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0];
M_17=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0];
M_18=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0];
M_19=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0];
M_20=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0];
M_21=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0];
M_22=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0];
M_23=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0];
M_24=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0];
M_25=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1];
nodes_data(1,:)={1,[2,3],[1,1],[M_2;M_3]}; %<EFBFBD><EFBFBD><EFBFBD>ݱ<EFBFBD>Ǩ<EFBFBD><EFBFBD><EFBFBD>ڽ<EFBFBD><EFBFBD><EFBFBD>Ǩ<EFBFBD>ķ<EFBFBD><EFBFBD><EFBFBD>Ȩ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ǨԪ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
nodes_data(2,:)={2,[4,5],[1,sqrt(2)],[M_4;M_5]};
nodes_data(3,:)={3,[6],[1],[M_6]};
nodes_data(4,:)={4,[7,8],[sqrt(2),1],[M_7;M_5]};
nodes_data(5,:)={5,[9,10],[sqrt(2),1],[M_8;M_7]};
nodes_data(6,:)={6,[11,12],[1,sqrt(2)],[M_9;M_10]};
nodes_data(7,:)={7,[13,14],[1,1],[M_8;M_13]};
nodes_data(8,:)={8,[9,10],[sqrt(2),1],[M_8;M_7]};
nodes_data(9,:)={9,[15],[1],[M_18]};
nodes_data(10,:)={10,[13,14],[1,1],[M_8;M_13]};
nodes_data(11,:)={11,[16,17],[1,1],[M_10;M_11]};
nodes_data(12,:)={12,[18],[1],[M_12]};
nodes_data(13,:)={13,[15],[1],[M_18]};
nodes_data(14,:)={14,[23,24],[sqrt(2),1],[M_14;M_15]};
nodes_data(15,:)={15,[29],[1],[M_19]};
nodes_data(16,:)={16,[18],[1],[M_12]};
nodes_data(17,:)={17,[19,20],[1,sqrt(2)],[M_16;M_17]};
nodes_data(18,:)={18,[21,22],[1,sqrt(2)],[M_18;M_19]};
nodes_data(19,:)={19,[27],[1],[M_17]};
nodes_data(20,:)={20,[28],[1],[M_20]};
nodes_data(21,:)={21,[29],[1],[M_19]};
nodes_data(22,:)={22,[30,31],[1,sqrt(2)],[M_23;M_24]};
nodes_data(23,:)={23,[25],[1],[M_21]};
nodes_data(24,:)={24,[26],[1],[M_14]};
nodes_data(25,:)={25,[33],[1],[M_22]};
nodes_data(26,:)={26,[25],[1],[M_21]};
nodes_data(27,:)={27,[28],[1],[M_20]};
nodes_data(28,:)={28,[32],[1],[M_23]};
nodes_data(29,:)={29,[30,31],[1,sqrt(2)],[M_23;M_24]};
nodes_data(30,:)={30,[35],[1],[M_24]};
nodes_data(31,:)={31,[36],[1],[M_25]};
nodes_data(32,:)={32,[35],[1],[M_24]};
nodes_data(33,:)={33,[34],[1],[M_25]};
nodes_data(35,:)={35,[36],[1],[M_25]};
%% ʼĩ<EFBFBD>ڵ<EFBFBD>%%
node_start=1;
node_end=[34,36];
%%% <EFBFBD><EFBFBD>Ⱥ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>%%%%%
m=50; % <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
n=size(nodes_data,1); % <EFBFBD>ڵ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
alpha=1; % <EFBFBD><EFBFBD>Ϣ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ҫ<EFBFBD>̶<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
beta=5; % <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ҫ<EFBFBD>̶<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
Rho=0.5; % <EFBFBD><EFBFBD>Ϣ<EFBFBD>ػӷ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
Q=1; % <EFBFBD><EFBFBD>Ϣ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ǿ<EFBFBD><EFBFBD>ϵ<EFBFBD><EFBFBD>
%%<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>̳<EFBFBD>ʼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>%%%%
iter=1; % <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֵ
iter_max=500; % <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
Route_best=cell(iter_max,1); % <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>·<EFBFBD><EFBFBD>
Length_best=zeros(iter_max,1); % <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>·<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
Length_ave=zeros(iter_max,1); % <EFBFBD><EFBFBD><EFBFBD><EFBFBD>·<EFBFBD><EFBFBD>ƽ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
Place_best=cell(iter_max,1); % <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>·<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʵĿ<EFBFBD><EFBFBD><EFBFBD>
%%<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϣ<EFBFBD>ء<EFBFBD><EFBFBD>ӷ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>һ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>nodes_data<EFBFBD><EFBFBD>%%%%%
Delta_Tau_initial=nodes_data(:,1:2);
for i=1:size(nodes_data,1)
nodes_data{i,5}=ones(1,length(nodes_data{i,3})); % <EFBFBD><EFBFBD>ʼ<EFBFBD><EFBFBD>Ϣ<EFBFBD>ؾ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϊ1
nodes_data{i,6}=1./nodes_data{i,3}; % <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϊ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ĵ<EFBFBD><EFBFBD><EFBFBD>
Delta_Tau_initial{i,3}=zeros(1,length(nodes_data{i,3})); % <EFBFBD><EFBFBD>Ϣ<EFBFBD>ر<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϊ0
end
%% <EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ѱ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>·<EFBFBD><EFBFBD>%%%
while iter<iter_max
route=cell(0);
place=cell(0);
for i=1:m % <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ͻ<EFBFBD>·<EFBFBD><EFBFBD>ѡ<EFBFBD><EFBFBD>
neighbor_allow=cell(0);
node_step=node_start;
path=node_step;
path_M = 0;
if node_step==node_start
marking=M_1;
else
marking=nodes_data{node_step,4};
end
dist=0;
while ~isequal(marking(end,:), M_25)
neighbor=nodes_data{node_step,2}; %Ѱ<EFBFBD><EFBFBD><EFBFBD>ڽ<EFBFBD><EFBFBD>ڵ<EFBFBD>
neighbor_allow = [];
for k=1:length(neighbor)
if ~ismember(neighbor(k),path)
neighbor_allow(end+1) = neighbor(k);
end
end
if isempty(neighbor_allow)
neighbor_allow=cell(0);
node_step=node_start;
path=node_step;
if node_step==node_start
marking=M_1;
else
marking=nodes_data{node_step,4};
end
dist=0;
continue
end
P=neighbor_allow; %<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>һ<EFBFBD><EFBFBD><EFBFBD>ڵ<EFBFBD><EFBFBD>ķ<EFBFBD><EFBFBD>ʸ<EFBFBD><EFBFBD><EFBFBD>
for k=1:length(neighbor_allow)
idx = find(neighbor_allow(k) == nodes_data{node_step,2});
P(2,k)=nodes_data{node_step,5}(idx)^alpha*nodes_data{node_step,6}(idx)^beta;
end
P(2,:)=P(2,:)/sum(P(2,:));
%%<EFBFBD><EFBFBD><EFBFBD>̶ķ<EFBFBD>ѡ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>һ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʽڵ<EFBFBD>%%%%
Pc=cumsum(P(2,:));
Pc=[0,Pc];
randnum=rand;
for k=1:length(Pc)-1
if randnum>Pc(k)&&randnum<Pc(k+1)
target_node=neighbor_allow(k);
end
end
%%%<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>%%%
idx=find(nodes_data{node_step,2}==target_node);
dist=dist+nodes_data{node_step,3}(idx);
%%%<EFBFBD><EFBFBD><EFBFBD><EFBFBD>·<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ڵ<EFBFBD><EFBFBD>Լ<EFBFBD><EFBFBD><EFBFBD>ʶ%%%
path(end+1)=target_node; % <EFBFBD><EFBFBD><EFBFBD><EFBFBD>·<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
marking(end+1,:)=nodes_data{node_step,4}(idx,:); % <EFBFBD><EFBFBD><EFBFBD>±<EFBFBD>ʶ
node_step=target_node; % <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>һ<EFBFBD><EFBFBD>Ŀ<EFBFBD><EFBFBD><EFBFBD>ڵ<EFBFBD><EFBFBD><EFBFBD>Ǩ
end
Length(i,1)=dist; % <EFBFBD><EFBFBD><EFBFBD>ŵ<EFBFBD>iֻ<EFBFBD><EFBFBD><EFBFBD>ϵ<EFBFBD><EFBFBD>ۼƾ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ͷ<EFBFBD>Ӧ·<EFBFBD><EFBFBD>
route{i,1}=path;
place{i,1}=marking;
end
%%<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>һ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>mֻ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>̾<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ͷ<EFBFBD>Ӧ·<EFBFBD><EFBFBD>%%%
if iter==1
[min_Length,min_index]=min(Length);
Length_best(iter)=min_Length;
Length_ave(iter)=mean(Length);
Route_best{iter,1}=route{min_index,1};
Place_best(iter,1)=place(min_index,1);
else
[min_Length,min_index]=min(Length);
Length_best(iter)=min(Length_best(iter-1),min_Length);
Length_ave(iter)=mean(Length);
if Length_best(iter)==min_Length
Route_best{iter,1}=route{min_index,1};
Place_best(iter,1)=place(min_index,1);
else
Route_best{iter,1}=Route_best{iter-1,1};
Place_best(iter,1)=Place_best(iter-1,1);
end
end
%%%<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϣ<EFBFBD><EFBFBD>%%%
Delta_Tau=Delta_Tau_initial;
for i=1:m % <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ϼ<EFBFBD><EFBFBD><EFBFBD>
for j=1:length(route{i,1})-1
node_start_temp=route{i,1}(j);
node_end_temp=route{i,1}(j+1);
idx=find(Delta_Tau{node_start_temp,2}==node_end_temp);
Delta_Tau{node_start_temp,3}(idx)=Delta_Tau{node_start_temp,3}(idx)+Q/Length(i);
end
end
%%<EFBFBD><EFBFBD><EFBFBD>ǻӷ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ӣ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϣ<EFBFBD><EFBFBD>%%%
for i=1:size(nodes_data,1)
nodes_data{i,5}=(1-Rho)*nodes_data{i,5}+Delta_Tau{i,3};
end
iter=iter+1;
end
% %<EFBFBD><EFBFBD>ͼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>%%%
figure
plot(1:iter_max,Length_best,'b',1:iter_max,Length_ave,'r','LineWidth',2.5);
legend('<EFBFBD><EFBFBD><EFBFBD>̾<EFBFBD><EFBFBD><EFBFBD>','ƽ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>');
xlabel('<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>');
ylabel('<EFBFBD><EFBFBD><EFBFBD><EFBFBD>');
title('<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>̾<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ƽ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ա<EFBFBD>');
%% <EFBFBD><EFBFBD><EFBFBD><EFBFBD>·<EFBFBD><EFBFBD>%%%
[dist_min,idx]=min(Length_best(1:end-1));
path_opt=Route_best{idx,1};
marking_opt=Place_best{idx,1};
%%<EFBFBD><EFBFBD>marking_optתΪ<EFBFBD>ַ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>%%%
M_set = cell(0);
M_seq = [];
for i = 1:size(marking_opt,1)
idx = find(marking_opt(i,:) == 1);
M_set{i,1} = strcat('M_',num2str(idx));
M_seq = [M_seq, strcat(M_set{i,1},',')];
end
disp('<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ҫ<EFBFBD>ߵ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>·<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϊ<EFBFBD><EFBFBD>')
disp(dist_min)
disp('<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>˾<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>·<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>˳<EFBFBD><EFBFBD>Ϊ<EFBFBD><EFBFBD>')
disp(M_seq(1:end-1))
disp('<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>˾<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>·<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ǩ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϊ<EFBFBD><EFBFBD>')
disp(path_opt)