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目录
????1 概述
平衡粘液霉菌算法 （ESMA） 算法，通过整合平衡优化算法（EO）的平衡概念，改进了粘液霉菌算法（SMA）。
对粘液霉菌算法（SMA）的改进，通过整合平衡实践，从平衡优化器（EO）的平衡池概念更新粘液霉菌位置。ESMA性能与众所周知的优化算法进行比较，并在评估基准测试问题时根据弗里德曼的平均排名进行排名。
????2 运行结果
部分代码：
function [Destination_fitness,bestPositions,Convergence_curve]=ESMA(N,Max_iter,lb,ub,dim,fobj)
bestPositions=zeros(1,dim);
Destination_fitness=inf;%change this to -inf for maximization problems
AllFitness = inf*ones(N,1);%record the fitness of all slime mold
weight = ones(N,dim);%fitness weight of each slime mold
%Initialize the set of random solutions
X=initialization(N,dim,ub,lb);
Convergence_curve=zeros(1,Max_iter);
it=1; %Number of iterations
lb=ones(1,dim).*lb; % lower boundary
ub=ones(1,dim).*ub; % upper boundary
z=0.03; % parameter
% Main loop
while it <= Max_iter
for i=1:N
% Check if solutions go outside the search space and bring them back
Flag4ub=X(i,:)>ub;
Flag4lb=X(i,:)<lb;
X(i,:)=(X(i,:).*(~(Flag4ub+Flag4lb)))+ub.*Flag4ub+lb.*Flag4lb;
AllFitness(i) = fobj(X(i,:));
end
%sort the fitness
[SmellOrder,SmellIndex] = sort(AllFitness); %Eq.(3)
bestFitness = SmellOrder(1); %Eq.(5)/ Eq.(10)
worstFitness = SmellOrder(N); %Eq.(6)
bestPositions2=X(SmellIndex(2),:); %Eq.(10)
bestPositions3=X(SmellIndex(3),:); %Eq.(10)
bestPositions4=X(SmellIndex(4),:); %Eq.(10)
S=bestFitness-worstFitness+eps; % plus eps to avoid denominator zero
%calculate the fitness weight of each slime mold
for i=1:N
for j=1:dim
if i<=(N/2) %Eq.(4)
weight(SmellIndex(i),j) = 1+rand()*log10((bestFitness-SmellOrder(i))/(S)+1);
else
weight(SmellIndex(i),j) = 1-rand()*log10((bestFitness-SmellOrder(i))/(S)+1);
end
end
end
%update the best fitness value and best position
if bestFitness < Destination_fitness
bestPositions=X(SmellIndex(1),:);
Destination_fitness = bestFitness;
end
avgPositions=(bestPositions+bestPositions2+bestPositions3+bestPositions4)/4; %Eq.(10)
C_pool=[bestPositions; bestPositions2; bestPositions3; bestPositions4; avgPositions]; %Eq.(11)
a = atanh(-(it/Max_iter)+1); %Eq.(8)
b = 1-it/Max_iter; %Eq.(9)
% Update the Position of search agents
for i=1:N
if rand<z %Eq.(12a)
X(i,:) = (ub-lb)*rand+lb;
else
p =tanh(abs(AllFitness(i)-Destination_fitness)); %Eq.(7)
vb = unifrnd(-a,a,1,dim);
vc = unifrnd(-b,b,1,dim);
for j=1:dim
r = rand();
Ceq=C_pool(randi(size(C_pool,1)),:);
A = randi([1,N]); % one positions randomly selected from population
if r<p %Eq.(12b)
X(i,j)=bestPositions(j)+vb(j)*(weight(i,j)*Ceq(j)-X(A,j));
else %Eq.(12c)
X(i,j) = vc(j)*X(i,j);
end
end
end
end
Convergence_curve(it)=Destination_fitness;
it=it+1;
end
????3 参考文献
[1]Naik, Manoj Kumar, et al. “An Entropy Minimization Based Multilevel Color Thresholding Technique for Analysis of Breast Thermograms Using Equilibrium Slime Mould Algorithm.” Applied Soft Computing, Elsevier BV, Oct. 2021, p. 107955, doi:10.1016/j.asoc.2021.107955.
????4 Matlab代码实现