遗传算法二维矩形排料matlab程序

你好！以下是一个使用遗传算法进行二维矩形排料的MATLAB程序的示例：

% 定义矩形结构体
rect.width = [];
rect.height = [];
rect.x = [];
rect.y = [];

% 定义种群参数
populationSize = 100; % 种群大小
numGenerations = 100; % 迭代次数

% 初始化种群
population = repmat(rect, populationSize, 1);
for i = 1:populationSize
    % 随机生成矩形的宽度和高度
    population(i).width = randi([1, 10]);
    population(i).height = randi([1, 10]);
end

bestFitness = zeros(numGenerations, 1); % 用于记录每代最佳适应度

% 迭代优化
for generation = 1:numGenerations
    % 计算适应度
    fitness = zeros(populationSize, 1);
    for i = 1:populationSize
        % 随机生成矩形的位置
        population(i).x = randi([1, 50] - population(i).width);
        population(i).y = randi([1, 50] - population(i).height);
        
        % 计算矩形的适应度（面积越小适应度越高）
        fitness(i) = population(i).width * population(i).height;    end
    
    % 找到最佳适应度和位置
    [bestFitness(generation), bestIndex] = min(fitness);
    bestRectangle = population(bestIndex);
    
    % 选择和交叉
    newPopulation = repmat(rect, populationSize, 1);
    for i = 1:populationSize
        % 选择父代
        parents = population(randperm(populationSize, 2));
        
        % 单点交叉
        crossoverPoint = randi([1, min(parents(1).width, parents(2).width)]);
        newPopulation(i).width = [parents(1).width(1:crossoverPoint), parents(