写一段matlab代码,仿真蚁群算法路径规划
时间: 2023-10-17 17:05:29 浏览: 44
好的,以下是一段使用蚁群算法进行路径规划的 Matlab 代码:
```
% 蚁群算法路径规划
clear;
close all;
clc;
% 假设我们的地图是一个正方形网络,以下是设置参数
num_col = 30; % 列数
num_row = 30; % 行数
num_nodes = num_col * num_row; % 总节点数
num_ants = 50; % 蚂蚁数
alpha = 1; % 信息素重要程度
beta = 3; % 启发式信息重要程度
rho = 0.5; % 信息素挥发因子
Q = 10; % 信息素增量系数
max_iter = 100; % 最大迭代次数
% 初始化节点距离和信息素矩阵
dist_matrix = zeros(num_nodes, num_nodes);
pheromone_matrix = ones(num_nodes, num_nodes);
% 计算节点距离矩阵
for i = 1:num_nodes
for j = 1:num_nodes
if i == j
dist_matrix(i, j) = 0;
else
col_i = mod(i-1, num_col) + 1;
row_i = ceil(i/num_col);
col_j = mod(j-1, num_col) + 1;
row_j = ceil(j/num_col);
dist_matrix(i, j) = norm([col_i, row_i] - [col_j, row_j]);
end
end
end
% 开始迭代
best_path = [];
best_len = inf;
for iter = 1:max_iter
% 初始化蚂蚁的位置
ant_pos = randi(num_nodes, num_ants, 1);
% 进行蚁群搜索过程
for step = 1:num_nodes-1
% 计算每只蚂蚁当前位置与其他未走过的节点之间的信息素和启发式信息
prob_matrix = zeros(num_nodes, num_nodes);
for m = 1:num_ants
current_node = ant_pos(m);
unvisited_nodes = setdiff(1:num_nodes, ant_pos(m:end));
for n = unvisited_nodes
prob_matrix(current_node, n) = pheromone_matrix(current_node, n)^alpha ...
* (1/dist_matrix(current_node, n))^beta;
end
end
% 选取下一个节点
[max_prob, next_node] = max(prob_matrix(:));
[ant_idx, ~] = find(prob_matrix == max_prob, 1, 'first');
ant_pos(ant_idx, step+1) = next_node;
end
% 计算本次迭代的最短路径
path_len = zeros(num_ants, 1);
for m = 1:num_ants
path_len(m) = sum(dist_matrix(sub2ind([num_row, num_col], ...
mod(ant_pos(m,1:end-1)-1,num_row)+1, ...
floor((ant_pos(m,1:end-1)-1)/num_row)+1), ...
sub2ind([num_row, num_col], ...
mod(ant_pos(m,2:end)-1,num_row)+1, ...
floor((ant_pos(m,2:end)-1)/num_row)+1)));
if path_len(m) < best_len
best_len = path_len(m);
best_path = ant_pos(m, :);
end
end
% 更新信息素矩阵
delta_pheromone = zeros(num_nodes, num_nodes);
for m = 1:num_ants
for n = 1:num_nodes-1
current_node = ant_pos(m, n);
next_node = ant_pos(m, n+1);
delta_pheromone(current_node, next_node) = delta_pheromone(current_node, next_node) + Q/path_len(m);
end
end
pheromone_matrix = (1-rho)*pheromone_matrix + delta_pheromone;
end
% 输出结果
disp(['最短路径长度:', num2str(best_len)]);
disp(['最短路径:', num2str(best_path)]);
% 绘图
figure;
hold on;
for i = 1:num_nodes
col_i = mod(i-1, num_col) + 1;
row_i = ceil(i/num_col);
for j = i+1:num_nodes
if dist_matrix(i, j) < 2
col_j = mod(j-1, num_col) + 1;
row_j = ceil(j/num_col);
plot([col_i, col_j], [row_i, row_j], '-b');
end
end
end
for n = 1:num_nodes-1
current_node = best_path(n);
next_node = best_path(n+1);
col_i = mod(current_node-1, num_col) + 1;
row_i = ceil(current_node/num_col);
col_j = mod(next_node-1, num_col) + 1;
row_j = ceil(next_node/num_col);
plot([col_i, col_j], [row_i, row_j], '-r', 'LineWidth', 2);
end
title('蚁群算法路径规划');
xlabel('列');
ylabel('行');
axis equal;
axis([0 num_col+1 0 num_row+1]);
```