人工蜂群算法三维路径规划代码matlab
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基于人工蜂群算法无人机路径规划附Matlab代码
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以下是一个简单的三维路径规划示例代码,使用人工蜂群算法(Artificial Bee Colony, ABC):
```matlab
% 初始化ABC算法参数
MaxIt = 100; % 迭代次数
nPop = 50; % 蜜蜂数量
nOnlooker = nPop; % 观察蜂数量
Lb = [0 0 0]; % 变量下限
Ub = [10 10 10]; % 变量上限
% 初始化ABC算法种群
empty_bee.position = [];
empty_bee.cost = [];
pop = repmat(empty_bee, nPop, 1);
for i=1:nPop
pop(i).position = unifrnd(Lb, Ub);
pop(i).cost = CostFunction(pop(i).position);
end
% ABC算法主循环
best_sol = pop(1);
for it=1:MaxIt
% 阶段1:蜜蜂选择
for i=1:nPop
k = randi([1 nPop]);
while k==i, k = randi([1 nPop]); end
phi = unifrnd(-1, 1, size(pop(i).position));
newbee.position = pop(i).position + phi.*(pop(i).position-pop(k).position);
newbee.position = max(newbee.position, Lb);
newbee.position = min(newbee.position, Ub);
newbee.cost = CostFunction(newbee.position);
if newbee.cost<=pop(i).cost
pop(i) = newbee;
end
end
% 阶段2:观察蜂选择
for i=1:nOnlooker
probs = exp(-[pop.cost]/mean([pop.cost]));
probs = probs/sum(probs);
k = RouletteWheelSelection(probs);
phi = unifrnd(-1, 1, size(pop(k).position));
newbee.position = pop(k).position + phi.*(pop(k).position-pop(randi([1 nPop])).position);
newbee.position = max(newbee.position, Lb);
newbee.position = min(newbee.position, Ub);
newbee.cost = CostFunction(newbee.position);
if newbee.cost<=pop(k).cost
pop(k) = newbee;
end
end
% 阶段3:蜜蜂贪婪搜索
for i=1:nPop
phi = unifrnd(-1, 1, size(pop(i).position));
newbee.position = pop(i).position + phi.*(best_sol.position-pop(i).position);
newbee.position = max(newbee.position, Lb);
newbee.position = min(newbee.position, Ub);
newbee.cost = CostFunction(newbee.position);
if newbee.cost<=pop(i).cost
pop(i) = newbee;
end
end
% 更新最优解
for i=1:nPop
if pop(i).cost<best_sol.cost
best_sol = pop(i);
end
end
% 显示迭代过程
disp(['Iteration ' num2str(it) ': Best Cost = ' num2str(best_sol.cost)]);
end
% 显示最优解
disp(['Best Solution: x1=' num2str(best_sol.position(1)) ' x2=' num2str(best_sol.position(2)) ' x3=' num2str(best_sol.position(3))]);
```
在上面的示例代码中,`CostFunction()`是用户自定义的代价函数,用于计算给定位置的代价值。`RouletteWheelSelection()`是轮盘赌选择算法,用于在观察蜂选择阶段中选择蜜蜂。
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