我需要一段MATLAB的模拟退火代码
时间: 2023-11-15 09:04:34 浏览: 46
以下是一个简单的MATLAB模拟退火代码示例:
```
% 定义目标函数
function f = objective_function(x)
f = sin(5 * pi * x) / (5 * pi * x);
end
% 定义模拟退火函数
function [x_best, f_best] = simulated_annealing(x0, T0, Tf, alpha, max_iter)
x = x0;
f = objective_function(x);
x_best = x;
f_best = f;
T = T0;
for i = 1:max_iter
% 随机扰动
x_new = x + randn();
f_new = objective_function(x_new);
% 计算接受概率
delta_f = f_new - f;
if delta_f < 0
p = 1;
else
p = exp(-delta_f / T);
end
% 决定是否接受扰动
if rand() < p
x = x_new;
f = f_new;
end
% 更新最优解
if f < f_best
x_best = x;
f_best = f;
end
% 降温
T = T * alpha;
if T < Tf
break;
end
end
end
% 测试
x0 = 2;
T0 = 100;
Tf = 0.1;
alpha = 0.95;
max_iter = 1000;
[x_best, f_best] = simulated_annealing(x0, T0, Tf, alpha, max_iter);
fprintf('x_best = %f, f_best = %f\n', x_best, f_best);
```
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