蚁群算法路径规划matlab代码
时间: 2023-09-26 20:15:05 浏览: 32
以下是一个简单的蚁群算法路径规划的MATLAB代码示例:
```
% 初始化参数
num_ants = 10; % 蚂蚁数量
num_cities = 5; % 城市数量
alpha = 1; % 信息素重要程度因子
beta = 2; % 启发函数重要程度因子
rho = 0.5; % 信息素残留系数
q = 100; % 每只蚂蚁释放的信息素量
distance = [0, 2, 3, 4, 5; 2, 0, 6, 7, 8; 3, 6, 0, 9, 10; 4, 7, 9, 0, 11; 5, 8, 10, 11, 0]; % 城市之间的距离
% 初始化信息素矩阵
pheromone = ones(num_cities, num_cities);
% 初始化路径和距离矩阵
path = zeros(num_ants, num_cities);
distance_ant = zeros(num_ants, 1);
% 迭代次数
num_iter = 100;
% 蚁群算法迭代
for i = 1:num_iter
for j = 1:num_ants
% 初始化蚂蚁位置
current_city = randi(num_cities);
path(j, 1) = current_city;
% 蚂蚁选择路径
for k = 2:num_cities
% 计算概率向量
prob = zeros(1, num_cities);
visited = path(j, 1:k-1);
unvisited = setdiff(1:num_cities, visited);
for l = unvisited
prob(l) = pheromone(current_city, l)^alpha * (1/distance(current_city, l))^beta;
end
prob = prob/sum(prob);
% 轮盘赌选择下一个城市
next_city = randsample(unvisited, 1, true, prob);
% 更新路径和距离
path(j, k) = next_city;
distance_ant(j) = distance_ant(j) + distance(current_city, next_city);
% 更新当前城市
current_city = next_city;
end
% 更新信息素
for k = 1:num_cities-1
pheromone(path(j, k), path(j, k+1)) = pheromone(path(j, k), path(j, k+1)) + q/distance_ant(j);
end
% 最后一个城市返回起点城市
pheromone(path(j, num_cities), path(j, 1)) = pheromone(path(j, num_cities), path(j, 1)) + q/distance_ant(j);
% 重置路径和距离
path(j, :) = 0;
distance_ant(j) = 0;
end
% 更新信息素残留
pheromone = (1-rho)*pheromone;
end
% 找到最短路径
[~, idx] = min(distance_ant);
shortest_path = path(idx, :);
total_distance = distance_ant(idx);
disp(['最短路径为:', num2str(shortest_path)]);
disp(['总距离为:', num2str(total_distance)]);
```
以上代码仅为示例,具体实现可以根据实际需求进行调整。
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