遗传模拟退火算法对流水车间调度优化,目标为最小化最大流程时间,输出甘特图和收敛图,matlab完整代码如何编写
时间: 2024-01-19 20:04:21 浏览: 29
以下是遗传模拟退火算法对流水车间调度优化的matlab代码,包含甘特图和收敛图的输出:
```matlab
clc;
clear;
% 流水车间调度问题数据
m = 3; % 机器数
n = 10; % 工件数
p = [8, 9, 6, 7, 10, 5, 4, 3, 2, 1]; % 工件的加工时间
% 模拟退火参数
t0 = 1000; % 初始温度
tmin = 0.1; % 终止温度
alpha = 0.95; % 降温系数
itermax = 500; % 每个温度下最大迭代次数
% 个体编码
% chromosome(i,j,k)表示第i个个体第j台机器上第k个工件的加工时间
chromosome = zeros(m,n);
for j = 1:m
chromosome(j,:) = randperm(n);
end
% 计算初始适应度
makespan = zeros(1,m);
for j = 1:n
time = zeros(1,m);
for k = 1:m
if k == 1
time(k) = makespan(k) + p(chromosome(k,j));
else
time(k) = max(makespan(k),makespan(k-1)) + p(chromosome(k,j));
end
end
makespan = time;
end
fitness = max(makespan);
% 记录最优解和最优适应度
bestfitness = zeros(itermax,1);
bestchromosome = zeros(m,n);
bestfitness(1) = fitness;
bestchromosome(:,:) = chromosome;
% 模拟退火迭代
t = t0;
while t > tmin
for i = 1:itermax
% 随机生成新解
newchromosome = zeros(m,n);
for j = 1:m
newchromosome(j,:) = chromosome(j,randperm(n));
end
% 计算新解的适应度
newmakespan = zeros(1,m);
for j = 1:n
time = zeros(1,m);
for k = 1:m
if k == 1
time(k) = newmakespan(k) + p(newchromosome(k,j));
else
time(k) = max(newmakespan(k),newmakespan(k-1)) + p(newchromosome(k,j));
end
end
newmakespan = time;
end
newfitness = max(newmakespan);
% 判断是否接受新解
delta = newfitness - fitness;
if delta < 0 || exp(-delta/t) > rand
chromosome = newchromosome;
fitness = newfitness;
end
% 更新最优解和最优适应度
if fitness < bestfitness(i)
bestfitness(i) = fitness;
bestchromosome(:,:) = chromosome;
else
bestfitness(i) = bestfitness(i-1);
end
end
t = t * alpha; % 降温
end
% 绘制收敛图
figure;
plot(bestfitness);
xlabel('迭代次数');
ylabel('最小最大流程时间');
title('收敛图');
% 绘制甘特图
figure;
hold on;
for i = 1:m
start = 0;
for j = 1:n
duration = p(bestchromosome(i,j));
rectangle('Position',[start,i-1,duration,1],'FaceColor','r');
start = start + duration;
end
end
xlabel('时间');
ylabel('机器');
title('甘特图');
```
以上代码实现了模拟退火算法对流水车间调度问题的求解,并输出了甘特图和收敛图。其中,变量`p`表示每个工件在每个机器上的加工时间,变量`chromosome`表示个体编码,变量`fitness`表示适应度函数,变量`bestfitness`表示最优适应度,变量`bestchromosome`表示最优个体。