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⛄ 内容介绍
针对麻雀搜索算法种群多样性少,局部搜索能力弱的问题,本文提出了基于正交对立学习的改进型麻雀搜索算法(OOLSSA).首先,在算法中引入正态变异算子,丰富算法种群多样性;其次,利用对立学习策略,增强算法跳出局部最优的能力;然后,在加入者更新之后引入正交对立学习机制,加快算法的收敛速度;最后,基于15个基准测试函数与6个传统优化算法和2个改进型算法进行仿真实验,非参数Friedman检验以及算法平衡能力进行分析,评估OOLSSA算法寻优性能.仿真结果证明,OOLSSA与其余8种算法相比,算法的探索开发能力以及收敛速度都表现良好.
⛄ 部分代码
%_________________________________________________________________________%
% 麻雀优化算法 %
%_________________________________________________________________________%
function [Best_pos,Best_score,curve]=SSA(pop,Max_iter,lb,ub,dim,fobj)
ST = 0.6;%预警值
PD = 0.7;%发现者的比列，剩下的是加入者
SD = 0.2;%意识到有危险麻雀的比重
PDNumber = round(pop*PD); %发现者数量
SDNumber = round(SD*pop);%意识到有危险麻雀数量
if(max(size(ub)) == 1)
ub = ub.*ones(1,dim);
lb = lb.*ones(1,dim);
end
%种群初始化
X0=initialization(pop,dim,ub,lb);
X = X0;
%计算初始适应度值
fitness = zeros(1,pop);
for i = 1:pop
fitness(i) = fobj(X(i,:));
end
[fitness, index]= sort(fitness);%排序
BestF = fitness(1);
WorstF = fitness(end);
GBestF = fitness(1);%全局最优适应度值
for i = 1:pop
X(i,:) = X0(index(i),:);
end
curve=zeros(1,Max_iter);
GBestX = X(1,:);%全局最优位置
X_new = X;
for i = 1: Max_iter
BestF = fitness(1);
WorstF = fitness(end);
R2 = rand(1);
for j = 1:PDNumber
if(R2<ST)
X_new(j,:) = X(j,:).*exp(-j./(rand()*Max_iter));
else
X_new(j,:) = X(j,:) + randn().*ones(1,dim);
end
end
for j = PDNumber+1:pop
% if(j>(pop/2))
if(j>(pop - PDNumber)/2 + PDNumber)
X_new(j,:)= randn(1,dim).*exp((X(end,:) - X(j,:))/j^2);
else
%产生-1，1的随机数
A = ones(1,dim);
for a = 1:dim
if(rand()>0.5)
A(a) = -1;
end
end
AA = A'*inv(A*A');
X_new(j,:)= X(1,:) + abs(X(j,:) - X(1,:)).*AA';
end
end
Temp = randperm(pop);
SDchooseIndex = Temp(1:SDNumber);
for j = 1:SDNumber
if(fitness(SDchooseIndex(j))>BestF)
X_new(SDchooseIndex(j),:) = X(1,:) + randn().*abs(X(SDchooseIndex(j),:) - X(1,:));
elseif(fitness(SDchooseIndex(j))== BestF)
K = 2*rand() -1;
X_new(SDchooseIndex(j),:) = X(SDchooseIndex(j),:) + K.*(abs( X(SDchooseIndex(j),:) - X(end,:))./(fitness(SDchooseIndex(j)) - fitness(end) + 10^-8));
end
end
%边界控制
for j = 1:pop
for a = 1: dim
if(X_new(j,a)>ub)
X_new(j,a) =ub(a);
end
if(X_new(j,a)<lb)
X_new(j,a) =lb(a);
end
end
end
%更新位置
for j=1:pop
fitness_new(j) = fobj(X_new(j,:));
end
for j = 1:pop
if(fitness_new(j) < GBestF)
GBestF = fitness_new(j);
GBestX = X_new(j,:);
end
end
X = X_new;
fitness = fitness_new;
%排序更新
[fitness, index]= sort(fitness);%排序
BestF = fitness(1);
WorstF = fitness(end);
for j = 1:pop
X(j,:) = X(index(j),:);
end
curve(i) = GBestF;
end
Best_pos =GBestX;
Best_score = curve(end);
end
⛄ 运行结果
⛄ 参考文献
[1]王天雷, 张绮媚, 李俊辉,等. 基于正交对立学习的改进麻雀搜索算法[J]. 电子测量技术, 2022(010):045.
