matlab 模拟退火代码模板
时间: 2023-09-14 19:14:42 浏览: 73
matlab模拟退火代码
以下是一个简单的matlab模拟退火代码模板:
```matlab
function [xmin, fmin] = sim_anneal(obj_fun, x0, options)
% Simulated Annealing Algorithm for Function Minimization
% obj_fun - function handle: objective function to be minimized
% x0 - vector: initial guess for minimum (1xn)
% options - structure: various parameters for the algorithm
% options.t0 - initial temperature
% options.alpha - cooling rate
% options.stopping_temp - minimum temperature at which annealing stops
% options.max_iter - maximum number of iterations
% options.display - flag for displaying progress
% Initialize parameters
t = options.t0;
x = x0;
[fmin, xmin] = obj_fun(x);
i = 1;
while t > options.stopping_temp && i < options.max_iter
% Generate new candidate solution
xnew = x + randn(size(x)); % Gaussian perturbation
% Evaluate objective at new candidate solution
[fnew, ~] = obj_fun(xnew);
% Determine whether to accept new solution
dE = fnew - fmin; % Change in objective function
if dE < 0 || rand() < exp(-dE/t) % Accept new solution
x = xnew;
fmin = fnew;
end
% Update temperature and iteration counter
t = options.alpha * t;
i = i + 1;
% Display progress
if options.display
fprintf('Iteration %d: Temperature = %g, Objective = %g\n', i, t, fmin);
end
end
end
```
这个函数接受一个指定目标函数的函数句柄、一个初始解向量和一个设置参数结构体。算法随后在一系列的迭代中搜索全局最小值,并返回最小解向量和最小函数值。你可以通过设定结构体的不同参数来调整算法的表现,例如初始温度、冷却速率、停止温度以及最大迭代次数等。
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