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基于非线性收敛因子改进的灰狼优化算法(GWO-S)进行8组标准测试函数的实验测试,结果表明
,GWO-S能在较短的时间寻优.
2部分代码%___________________________________________________________________%
%GreyWolfOptimizer
function[Alpha_score,Alpha_pos,Convergence_curve]=GWO(SearchAgents_no,Max_iter,lb,ub,dim,fobj)
%initializealpha,beta,anddelta_pos
Alpha_pos=zeros(1,dim);
Alpha_score=inf;%changethisto-infformaximizationproblems
Beta_pos=zeros(1,dim);
Beta_score=inf;%changethisto-infformaximizationproblems
Delta_pos=zeros(1,dim);
Delta_score=inf;%changethisto-infformaximizationproblems
%Initializethepositionsofsearchagents
Positions=initialization(SearchAgents_no,dim,ub,lb);
Convergence_curve=zeros(1,Max_iter);
l=0;%Loopcounter
%Mainloop
whilelMax_iter
fori=1:size(Positions,1)
%Returnbackthesearchagentsthatgobeyondtheboundariesofthesearchspace
Flag4ub=Positions(i,:)ub;
Flag4lb=Positions(i,:)lb;
Positions(i,:)=(Positions(i,:).*(~(Flag4ub+Flag4lb)))+ub.*Flag4ub+lb.*Flag4lb;
%Calculateobjectivefunctionforeachsearchagent
fitness=fobj(Positions(i,:));
%UpdateAlpha,Beta,andDelta
iffitnessAlpha_score
Alpha_score=fitness;%Updatealpha
Alpha_pos=Positions(i,:);
end
iffitnessAlpha_scorefitnessBeta_score
Beta_score=fitness;%Updatebeta
Beta_pos=Positions(i,:);
end
iffitnessAlpha_scorefitnessBeta_scorefitnessDelta_score
Delta_score=fitness;%Updatedelta
Delta_pos=Positions(i,:);
end
end
%adecreaseslinearlyfron2to0
a=sin(((l*pi)/Max_iter)+pi/2)+1;
%UpdatethePositionofsearchagentsincludingomegas
fori=1:size(Positions,1)
forj=1:size(Positions,2)
r1=rand();%r1isarandomnumberin[0,1]
r2=rand();%r2isarandomnumberin[0,1]
A1=2*a*r1-a;%Equation(3.3)
C1=2*r2;%Equation(3.4)
D_alpha=abs(C1*Alpha_pos(j)-Positions(i,j));%Equation(3.5)-part1
X1=Alpha_pos(j)-A1*D_alpha;%Equation(3.6)-part1
r1=rand();
r2=rand();
A2=2*a*r1-a;%Equation(3.3)
C2=2*r2;%Equation(3.4)
D_beta=abs(C2*Beta_pos(j)-Positions(i,j));%Equation(3.5)-part2
X2=Beta_pos(j)-A2*D_beta;%Equation(3.6)-part2
r1=rand();
r2=rand();
A3=2*a*r1-a;%Equation(3.3)
C3=2*r2;%Equation(3.4)
D_delta=abs(C3*Delta_pos(j)-Positions(i,j));%Equation(3.5)-part3
X3=Delta_pos(j)-A3*D_delta;%Equation(3.5)-part3
Positions(i,j)=(X1+X2+X3)/3;%Equation(3.7)
end
end
l=l+1;
Convergence_curve(l)=Alpha_score;
end
3仿真结果4参考文献[1]王正通,尤文,李双.改进非线性收敛因子灰狼优化算法[J].长春工业大学学报:自然科学版,,41(2):6.
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