%主函數function [x Objective] = Main(PopSize, GEN, P_Crossover, P_Mutation)[x q] = Init(PopSize);[Objective chro] = evaluation(0, PopSize, x);x = chro;for i=1:GEN    selection(PopSize, x, q);    crossover(PopSize, P_Crossover, x);    mutation(PopSize, P_Mutation, x);    [Objective chro] = evaluation(i, PopSize, x);    x = chro;endx(1,1)x(1,2)x(1,3)Objective(1)sqrt(x(1,1))+sqrt(x(1,2))+sqrt(x(1,3))function [ check ] = checkbound(x)if power(x(1),2)+2*power(x(2),2)+3*power(x(3),2) > 1function [ x q ] = Init(PopSize)%UNTITLED1 Summary of this function goes here%   Detailed explanation goes herex = rand(PopSize+1, 3);a = 0.05;q(1) = 0.05;for i=2:PopSize+1    a = a*0.95;    q(i) = q(i-1)+a;end;for i=2:PopSize+1       while x(i,1)<0 || x(i,2)<0 || x(i,3)<0 ||         x(i,:) = rand(1,3);     endend%目標函數function [Objective] = objective_function(PopSize, chromosome)for i=2:PopSize+1    x1 = chromosome(i,1);    x2 = chromosome(i,2);    x3 = chromosome(i,3);    Objective(i) = sqrt(x1)+sqrt(x2)+sqrt(x3); endObjective(1) = max(Objective);%評估函數function [Objective, chro] = evaluation(gen, PopSize, chromosome)Objective = objective_function(PopSize, chromosome);[temp IX] = sort(Objective(2:PopSize+1),'descend');Objective(2:PopSize+1) = temp;for i=2:PopSize+1    chro(i,:) = chromosome(IX(i-1)+1,:);endchro(1,:) = chromosome(IX(1)+1,:);%選擇函數function selection(PopSize, chromosome, q)for i=2:PopSize+1    r = rand*q(PopSize);    for j=2:PopSize+1        if r <= q(j)            temp(i,:) = chromosome(j,:);            break;        end    endendfor i=2:PopSize+1    chromosome(i,:) = temp(i,:);end%交叉函數function crossover(PopSize, P_Crossover, chromosome)pop = PopSize/2;for i=2:pop+1    if rand() > P_Crossover        continue;    end    j = round(rand()*PopSize+1);    jj = round(rand()*PopSize+1);    r = rand();    x = r*chromosome(j,:)+(1-r)*chromosome(jj,:);    y = r*chromosome(jj,:)+(1-r)*chromosome(j,:);    if power(x(1),2)+2*power(x(2),2)+3*power(x(3),2) <= 1        chromosome(j,:) = x;    elseif power(y(1),2)+2*power(y(2),2)+3*power(y(3),2) <= 1        chromosome(jj,:) = y;    endend%變異函數function mutation(PopSize, P_Mutation, chromosome)INFTY = 10;precision = 0.0001;for i=2:PopSize+1    if rand() > P_Mutation        continue;    end    x = chromosome(i,:);    for k=1:3        if rand() < 0.5            direction(k) = rand()*2-1;        else            direction(k) = 0;        end    end    infty = rand()*INFTY;    while infty > precision        for j=1:3            y(j) = x(j)+infty*direction(j);        end        if power(y(1),2)+2*power(y(2),2)+3*power(y(3),2) <= 1            chromosome(i,:) = y;            break;        end        infty = rand()*infty;    endend