模拟退火工具箱(求解一元,二元)

开启工具箱:optimtool

求解一元

  • %fitness.m文件
    
    function fitnessVal = fitness(x)
    fitnessVal = - sin(10*pi*x)/x;
    
    
    end

求解二元

function fitnessVal = fitness(x)
%fitnessVal = - sin(10*pi*x)/x;

fitnessVal = -1 * (x(1).^2+x(2).^2-10*cos(2*pi*x(1))-10*cos(2*pi*x(2))+20);
end

C++版本:https://blog.csdn.net/Haipai1998/article/details/81570902

MATLAB版本:

%%main.m
T=1000; %初始化温度值
T_min=1e-12; %设置温度下界
alpha=0.98; %温度的下降率
k=1000; %迭代次数(解空间的大小)
 
x=getX; %随机得到初始解
while(T>T_min)
    for I=1:100
        fx=Fx(x);
        x_new=getX;
        if(x_new>=-2 && x_new<=2)
            fx_new=Fx(x_new);
            delta=fx_new-fx;
            if (delta<0)
                x=x_new+(2*rand-1);
            else
                P=getP(delta,T);
                if(P>rand)
                    x=x_new;
                end
            end
        end
    end
    T=T*alpha;
end
disp('最优解为:')
disp(x)
 
%%getX.m
function x=getX
    x=4*rand-2;
end
 
%%Fx.m
function fx=Fx(x)
    fx=(x-2)^2+4;
end
 
%%getP.m
function p=getP(c,t)
    p=exp(-c/t);
end
 

Lingo:https://blog.csdn.net/zyl_wjl_1413/article/details/89074864


画图:https://blog.csdn.net/sunyueqinghit/article/details/81905509