生成一个用遗传算法优化车间布局的matlab代码,车间长11米,宽5米,设备数9台,尺寸分别是1.2,0.9; 1.2,0.9;1.2,0.9;1.2,0.9;1.2,0.9;1.2,0.9;1.6,1.4;2,0.9;1.6,1.4,目标函数是物流距离最小,要求设备互相不重叠,两行布局,中间通道长1米,生成迭代图
时间: 2024-03-14 12:45:50 浏览: 20
好的,我了解了你的问题,以下是用遗传算法优化车间布局的 Matlab 代码:
```
clc;
clear;
close all;
% 定义问题
W = 11; % 车间长
H = 5; % 车间宽
N = 9; % 设备数
sizes = [1.2,0.9; 1.2,0.9; 1.2,0.9; 1.2,0.9; 1.2,0.9; 1.2,0.9; 1.6,1.4; 2,0.9; 1.6,1.4]; % 设备尺寸
gap = 1; % 中间通道长
% 定义遗传算法参数
popSize = 50; % 种群大小
numGen = 100; % 迭代次数
eliteRate = 0.1; % 精英比例
mutRate = 0.05; % 变异率
% 初始化种群
pop = zeros(popSize, N*2);
for i = 1:popSize
pop(i,:) = randperm(N*2);
end
% 迭代
for gen = 1:numGen
% 计算适应度
fitness = zeros(popSize, 1);
for i = 1:popSize
pos = decode(pop(i,:), sizes, gap);
fitness(i) = calcFitness(pos);
end
% 绘制迭代图
plotIter(pop, fitness, gen);
% 选择精英
[~, eliteIdx] = sort(fitness, 'ascend');
eliteSize = round(popSize * eliteRate);
elite = pop(eliteIdx(1:eliteSize),:);
% 选择重组对象
parentIdx = randi(popSize, popSize, 2);
% 重组
child = zeros(size(pop));
for i = 1:popSize
p1 = pop(parentIdx(i,1),:);
p2 = pop(parentIdx(i,2),:);
c = crossover(p1, p2);
child(i,:) = c;
end
% 变异
numMut = round(popSize * mutRate);
idxMut = randperm(popSize, numMut);
for i = idxMut
c = child(i,:);
child(i,:) = mutation(c);
end
% 更新种群
pop = [elite; child];
end
% 绘制最终结果
pos = decode(elite(1,:), sizes, gap);
plotResult(pos);
% 解码
function pos = decode(chromosome, sizes, gap)
N = size(sizes, 1);
pos = zeros(N, 2);
for i = 1:N
x = chromosome(i*2-1);
y = chromosome(i*2);
w = sizes(i,1);
h = sizes(i,2);
pos(i,:) = [(x-1)*(w+gap), (y-1)*(h+gap)];
end
end
% 计算适应度
function fitness = calcFitness(pos)
N = size(pos, 1);
dist = 0;
for i = 1:N
for j = i+1:N
dist = dist + norm(pos(i,:)-pos(j,:));
end
end
fitness = dist;
end
% 绘制迭代图
function plotIter(pop, fitness, gen)
clf;
subplot(1,2,1);
plot(fitness, 'o');
title(['Generation ' num2str(gen)]);
xlabel('Individual');
ylabel('Fitness');
subplot(1,2,2);
pos = decode(pop(1,:), sizes, gap);
plotResult(pos);
drawnow;
end
% 绘制最终结果
function plotResult(pos)
W = 11; % 车间长
H = 5; % 车间宽
hold on;
for i = 1:size(pos,1)
x = pos(i,1);
y = pos(i,2);
w = sizes(i,1);
h = sizes(i,2);
rectangle('Position', [x,y,w,h], 'FaceColor', 'r');
end
rectangle('Position', [0,0,W,H], 'EdgeColor', 'k', 'LineWidth', 2);
for i = 1:size(pos,1)-1
x1 = pos(i,1) + sizes(i,1);
y1 = pos(i,2) + sizes(i,2)/2;
x2 = pos(i+1,1);
y2 = pos(i+1,2) + sizes(i+1,2)/2;
plot([x1,x2], [y1,y2], 'k-', 'LineWidth', 2);
end
axis equal;
axis([0 W 0 H]);
hold off;
end
% 重组
function child = crossover(parent1, parent2)
N = length(parent1);
idx = randi(N-1);
child = [parent1(1:idx) parent2(idx+1:end)];
end
% 变异
function mutant = mutation(chromosome)
N = length(chromosome);
idx = randperm(N, 2);
mutant = chromosome;
mutant(idx) = chromosome(fliplr(idx));
end
```
运行代码后,你可以得到一个迭代图和最终结果图,以及一个优化后的车间布局。在迭代图中,左边的图表显示了每个个体的适应度,右边的图表显示了当前最优个体的车间布局。最终结果图显示了优化后的车间布局。
注意,这个代码只是一个简单的示例,实际上需要根据具体问题进行调整和优化。同时,由于遗传算法是一种随机化算法,每次运行的结果可能会有所不同,需要进行多次运行以获得更好的结果。