【樽海鞘算法】基于多子群的共生非均匀高斯变异樽海鞘群算法求解单目标优化问题附matlab代码MSNSSA

 1 简介

针对樽海鞘群算法求解精度不高和收敛速度慢等缺点, 提出一种多子群的共生非均匀高斯变异樽海鞘群算法(Multi-subpopulation based symbiosis and non-uniform Gaussian mutation salp swarm algorithm, MSNSSA). 根据不同适应度值将樽海鞘链群分为三个子种群, 各个子种群分别进行领导者位置更新,追随者共生策略和链尾者非均匀高斯变异等操作. 使用统计分析,收敛速度分析,Wilcoxon检验,经典基准函数和CEC 2014函数的标准差来评估改进樽海鞘群算法的效率. 结果表明, 改进算法具有更好的寻优精度和收敛速度. 尤其在求解高维和多峰测试函数上, 改进算法拥有更好性能.

2 部分代码

%% 樽海鞘算法function [FoodFitness,FoodPosition,Convergence_curve]=SSA(N,Max_iter,lb,ub,dim,fobj)​if size(ub,1)==1    ub=ones(dim,1)*ub;    lb=ones(dim,1)*lb;end​Convergence_curve = zeros(1,Max_iter);​%Initialize the positions of salpsSalpPositions=initialization(N,dim,ub,lb);​​FoodPosition=zeros(1,dim);FoodFitness=inf;​​%calculate the fitness of initial salps​for i=1:size(SalpPositions,1)    SalpFitness(1,i)=fobj(SalpPositions(i,:));end​[sorted_salps_fitness,sorted_indexes]=sort(SalpFitness);​for newindex=1:N    Sorted_salps(newindex,:)=SalpPositions(sorted_indexes(newindex),:);end​FoodPosition=Sorted_salps(1,:);FoodFitness=sorted_salps_fitness(1);Convergence_curve(1) = inf;%Main loopl=2; % start from the second iteration since the first iteration was dedicated to calculating the fitness of salpswhile l<Max_iter+1        c1 = 2*exp(-(4*l/Max_iter)^2); % Eq. (3.2) in the paper        for i=1:size(SalpPositions,1)                SalpPositions= SalpPositions';                if i<=N/2            for j=1:1:dim                c2=rand();                c3=rand();                %%%%%%%%%%%%% % Eq. (3.1) in the paper %%%%%%%%%%%%%%                if c3<0.5                     SalpPositions(j,i)=FoodPosition(j)+c1*((ub(j)-lb(j))*c2+lb(j));                else                    SalpPositions(j,i)=FoodPosition(j)-c1*((ub(j)-lb(j))*c2+lb(j));                end                %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%            end                    elseif i>N/2 && i<N+1            point1=SalpPositions(:,i-1);            point2=SalpPositions(:,i);                        SalpPositions(:,i)=(point2+point1)/2; % % Eq. (3.4) in the paper        end                SalpPositions= SalpPositions';    end        for i=1:size(SalpPositions,1)                Tp=SalpPositions(i,:)>ub';Tm=SalpPositions(i,:)<lb';SalpPositions(i,:)=(SalpPositions(i,:).*(~(Tp+Tm)))+ub'.*Tp+lb'.*Tm;                SalpFitness(1,i)=fobj(SalpPositions(i,:));                if SalpFitness(1,i)<FoodFitness            FoodPosition=SalpPositions(i,:);            FoodFitness=SalpFitness(1,i);                    end    end        Convergence_curve(l)=FoodFitness;    l = l + 1;end​​​​

3 仿真结果

4 参考文献

[1]陈忠云, 张达敏, 辛梓芸. 多子群的共生非均匀高斯变异樽海鞘群算法[J]. 自动化学报, 2022, 48(5):1307-1317.

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