遗传算法matlab程序
时间: 2023-07-07 10:35:40 浏览: 36
以下是一个简单的遗传算法的MATLAB代码示例:
```
function [x, y] = genetic_algorithm(f, n, lb, ub, max_gen, pop_size, pc, pm)
% 初始化种群
pop = lb + (ub - lb) * rand(pop_size, n);
best = zeros(max_gen, n);
fval = zeros(max_gen, 1);
% 迭代直到达到最大代数
for i = 1:max_gen
% 计算适应度值
fitness = feval(f, pop);
% 记录最优值和位置
[fmin, idx] = min(fitness);
best(i,:) = pop(idx,:);
fval(i) = fmin;
% 创建新种群
new_pop = zeros(pop_size, n);
% 选择
for j = 1:2:pop_size
p1 = tournament_selection(pop, fitness);
p2 = tournament_selection(pop, fitness);
% 交叉
if rand < pc
[c1, c2] = crossover(p1, p2);
else
c1 = p1;
c2 = p2;
end
% 变异
if rand < pm
c1 = mutation(c1, lb, ub);
end
if rand < pm
c2 = mutation(c2, lb, ub);
end
new_pop(j,:) = c1;
new_pop(j+1,:) = c2;
end
pop = new_pop;
end
% 返回最佳解和适应度值
[x, y] = min(fval);
x = best(y,:);
end
function idx = tournament_selection(pop, fitness)
% 锦标赛选择
n = size(pop,1);
idx1 = randi(n);
idx2 = randi(n);
while idx2 == idx1
idx2 = randi(n);
end
if fitness(idx1) < fitness(idx2)
idx = idx1;
else
idx = idx2;
end
end
function [c1, c2] = crossover(p1, p2)
% 两点交叉
n = length(p1);
c1 = p1;
c2 = p2;
pt1 = randi(n-1);
pt2 = randi([pt1+1,n]);
for i = pt1:pt2
c1(i) = p2(i);
c2(i) = p1(i);
end
end
function c = mutation(p, lb, ub)
% 随机变异
n = length(p);
pt = randi(n);
c = p;
c(pt) = lb(pt) + (ub(pt) - lb(pt)) * rand;
end
```
其中,`f`是目标函数句柄,`n`是变量个数,`lb`和`ub`是变量的下限和上限,`max_gen`是最大迭代次数,`pop_size`是种群大小,`pc`是交叉概率,`pm`是变异概率。函数返回最优解`x`和最优值`y`。
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