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⛄ 内容介绍
针对樽海鞘群算法求解精度不高和收敛速度慢等缺点,提出一种基于疯狂自适应的樽海鞘群算法.引入Tent混沌序列生成初始种群,以增加初始个体的多样性;在食物源位置上引入疯狂算子,增强种群的多样性;在追随者位置更新公式中引入自适应惯性权重,使算法的全局搜索和局部搜索能力得到更好的平衡.使用统计分析、收敛速度分析、Wilcoxon检验、经典基准函数和CEC2014函数的标准差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全局搜索能力和求解鲁棒性,同时,寻优精度和收敛速度也比原来算法有所增强,尤其在求解高维和多峰测试函数上,改进算法拥有更好的性能.
⛄ 部分代码
%_________________________________________________________________________________
% Salp Swarm Algorithm (SSA) source codes version 1.0
%
% Developed in MATLAB R2016a
%
% Author and programmer: Seyedali Mirjalili
%
% e-Mail: ali.mirjalili@gmail.com
% seyedali.mirjalili@griffithuni.edu.au
%
% Homepage: http://www.alimirjalili.com
%
% Main paper:
% S. Mirjalili, A.H. Gandomi, S.Z. Mirjalili, S. Saremi, H. Faris, S.M. Mirjalili,
% Salp Swarm Algorithm: A bio-inspired optimizer for engineering design problems
% Advances in Engineering Software
% DOI: http://dx.doi.org/10.1016/j.advengsoft.2017.07.002
%____________________________________________________________________________________
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 salps
SalpPositions=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);
%Main loop
l=2; % start from the second iteration since the first iteration was dedicated to calculating the fitness of salps
while 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
⛄ 运行结果
⛄ 参考文献
[1]张达敏, 陈忠云, 辛梓芸,等. 基于疯狂自适应的樽海鞘群算法[J]. 控制与决策, 2020, 35(9):9.
