遗传算法matlab程序
时间: 2023-10-15 13:03:33 浏览: 21
以下是一个简单的遗传算法的 MATLAB 程序示例:
```matlab
function [bestSol, bestFitness] = geneticAlgorithm(populationSize, numGenerations, crossoverProbability, mutationProbability)
% 初始化种群
population = randi([0,1], populationSize, 20);
for i=1:numGenerations
% 计算适应度
fitness = sum(population, 2);
% 选择父代
parent1 = population(rouletteWheelSelection(fitness), :);
parent2 = population(rouletteWheelSelection(fitness), :);
% 交叉操作
if rand < crossoverProbability
[child1, child2] = singlePointCrossover(parent1, parent2);
else
child1 = parent1;
child2 = parent2;
end
% 变异操作
if rand < mutationProbability
child1 = bitFlipMutation(child1);
end
if rand < mutationProbability
child2 = bitFlipMutation(child2);
end
% 更新种群
population = [population; child1; child2];
fitness = sum(population, 2);
% 选择最佳解
[bestFitness, bestIndex] = max(fitness);
bestSol = population(bestIndex, :);
% 删除最差的解
fitness(bestIndex) = -Inf;
population(bestIndex, :) = [];
end
end
function index = rouletteWheelSelection(fitness)
% 轮盘赌选择父代
fitness = fitness - min(fitness) + 1;
totalFitness = sum(fitness);
rouletteWheel = cumsum(fitness/totalFitness);
index = find(rouletteWheel > rand, 1);
end
function [child1, child2] = singlePointCrossover(parent1, parent2)
% 单点交叉操作
crossoverPoint = randi([1, size(parent1, 2)-1]);
child1 = [parent1(1:crossoverPoint), parent2(crossoverPoint+1:end)];
child2 = [parent2(1:crossoverPoint), parent1(crossoverPoint+1:end)];
end
function child = bitFlipMutation(parent)
% 位翻转变异操作
mutationPoint = randi(size(parent, 2));
child = parent;
child(mutationPoint) = ~child(mutationPoint);
end
```
该程序实现了一个简单的二进制优化问题,其中种群大小为 `populationSize`,迭代次数为 `numGenerations`,交叉概率为 `crossoverProbability`,变异概率为 `mutationProbability`。程序使用轮盘赌选择算法选择父代,使用单点交叉操作和位翻转变异操作生成子代,并使用最大化适应度函数选择最佳解。
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