%function [maxX,maxY,maxValue]=AntColony
%%初始化
%%%%%%%%%%%%%%%%%%%%%%%%%%%
clear,clc,clf;
Ant=200; %蚂蚁数量
Times=50; %蚂蚁移动次数
Rou=0.8; %信息素挥发系数
P0=0.2; %转移概率常数
Lower_1=-1; %设置搜索范围
Upper_1=1;
Lower_2=-1;
Upper_2=1;
%%%%%%%%%%%%%%%%%%%%%%%%%%%
for i=1:Ant
X(i,1)=(Lower_1+(Upper_1-Lower_1)*rand); %随机设置蚂蚁的初值位置
X(i,2)=(Lower_2+(Upper_2-Lower_2)*rand);
Tau(i)=F(X(i,1),X(i,2));
end
step=0.05;
f='-(x.^4+2*y.^4-0.3*cos(3*pi*x)-0.4*cos(4*pi*y)+0.7)';
[x,y]=meshgrid(Lower_1:step:Upper_1,Lower_2:step:Upper_2);
z=eval(f);
figure(1);
mesh(x,y,z);
hold on;
plot3(X(:,1),X(:,2),Tau,'k*')
hold on;
text(0.1,0.8,-0.1,'蚂蚁的初始分布位置');
xlabel('x');ylabel('y');zlabel('f(x,y)');
for T=1:Times
lamda=1/T;
[Tau_Best(T),BestIndex]=max(Tau);
for i=1:Ant
P(T,i)=(Tau(BestIndex)-Tau(i))/Tau(BestIndex); %计算状态转移概率
end
for i=1:Ant
if P(T,i)<P0 %局部搜索
temp1=X(i,1)+(2*rand-1)*lamda;
temp2=X(i,2)+(2*rand-1)*lamda;
else %全局搜索
temp1=X(i,1)+(Upper_1-Lower_1)*(rand-0.5);
temp2=X(i,2)+(Upper_2-Lower_2)*(rand-0.5);
end
%越界处理
if temp1<Lower_1
temp1=Lower_1;
end
if temp1>Upper_1
temp1=Upper_1;
end
if temp2<Lower_2
temp2=Lower_2;
end
if temp2>Upper_2
temp2=Upper_2;
end
%%%
if F(temp1,temp2)>F(X(i,1),X(i,2)) %判断蚂蚁是否移动
X(i,1)=temp1;
X(i,2)=temp2;
end
end
for i=1:Ant
Tau(i)=(1-Rou)*Tau(i)+F(X(i,1),X(i,2)); %更新信息量
end
end
figure(2);
mesh(x,y,z);
hold on;
x=X(:,1);
y=X(:,2);
plot3(x,y,eval(f),'k*');
hold on;
text(0.1,0.8,-0.1,'蚂蚁的最终分布位置');
xlabel('x');ylabel('y');zlabel('f(x,y)');
[max_value,max_index]=max(Tau);
maxX=X(max_index,1);
maxY=X(max_index,2);
maxValue=F(X(max_index,1),X(max_index,2));
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