matlab代码实现车间调度(JSP)

车间调度（JSP，Job Shop Scheduling Problem）是一个经典的生产调度问题，涉及到一组作业在一组机器上的调度安排，使得满足作业的顺序和机器的约束条件的同时，最小化完成所有作业的时间。下面是一个简单的基于遗传算法的 MATLAB 实现示例。

function [bestSchedule, bestTime] = jspGeneticAlgorithm(jobs, machines, populationSize, generations)
    numJobs = length(jobs);
    numMachines = length(machines);
    
    % 生成初始种群
    population = zeros(populationSize, numJobs*numMachines);
    for i = 1:populationSize
        population(i, :) = randperm(numJobs*numMachines);
    end
    
    % 开始迭代
    for gen = 1:generations
        % 计算适应度
        fitness = zeros(1, populationSize);
        for i = 1:populationSize
            schedule = reshape(population(i, :), numJobs, numMachines);
            fitness(i) = calculateMakespan(schedule, jobs, machines);
        end
        
        % 选择父代
        [sortedFitness, indices] = sort(fitness);
        parents = population(indices(1:round(populationSize/2)), :);
        
        % 交叉和变异
        offspring = zeros(size(parents));
        for i = 1:2:populationSize/2
            parent1 = parents(i, :);
            parent2 = parents(i+1, :);
            crossoverPoint = randi([1, numJobs*numMachines-1]);
            offspring(i, :) = [parent1(1:crossoverPoint), parent2(crossoverPoint+1:end)];
            offspring(i+1, :) = [parent2(1:crossoverPoint), parent1(crossoverPoint+1:end)];
        end
        
        % 更新种群
        population = [parents; offspring];
    end
    
    % 选择最佳解
    bestSchedule = reshape(population(1, :), numJobs, numMachines);
    bestTime = calculateMakespan(bestSchedule, jobs, machines);
end

function makespan = calculateMakespan(schedule, jobs, machines)
    numJobs = length(jobs);
    numMachines = length(machines);
    machineTimes = zeros(numJobs, numMachines);
    jobTimes = zeros(numJobs, 1);
    
    for i = 1:numJobs
        for j = 1:numMachines
            job = schedule(i, j);
            machine = machines(job);
            if j == 1
                machineTimes(i, j) = jobTimes(i);
            else
                machineTimes(i, j) = max(machineTimes(i, j-1), jobTimes(i));
            end
            machineTimes(i, j) = machineTimes(i, j) + jobs(job, machine);
            jobTimes(i) = machineTimes(i, j);
        end
    end
    
    makespan = max(jobTimes);
end

在这个示例中，我们使用了基本的遗传算法来解决车间调度问题。注释和函数名已经对代码进行了详细的说明。你可以将这个示例作为起点，根据实际情况进行扩展和优化，例如改进遗传算法的选择、交叉和变异操作，或者尝试其他优化算法如禁忌搜索、模拟退火等。