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. N& ]7 A( B" d: y4 m( ^合作协同进化(Cooperative Coevolution)是求解大规模优化算法一个有效的方法。将大规模问题分解为一组组较小的子问题。而合作协同进化的关键是分解策略。$ q5 t2 j- T" s+ h
4 u+ ^8 L' I$ rNSGA2算法是一种多目标遗传算法。此文章是随机固定分组的合作协同进化利用NSGA2来优化。4 T! [. P$ [, I1 v
0 |9 e, ~) R5 U4 G9 u0 I' a比如有12个决策变量,我们固定随机优化3个决策变量,那么就将决策变量分成了4组。( ]# a" H( n$ X! G) x# H" G
& M! S7 e! P7 gMATLAB主函数代码:
6 o w. g' K% w, s: @3 K1 u I' _; v+ M5 [9 \# k
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- clc;
- clear;
- global pop
- pop = 500; %种群数量
- gen = 2; %迭代次数
- global M
- M = 2; %目标数量
- Dim=22; %搜索空间维数(未知数个数)
- sub_dim= 2 ;
- global min_range
- global max_range
- min_range = zeros(1, Dim); %下界
- max_range = ones(1,Dim); %上界
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- divide_datasets();
- global answer
- answer=cell(M,3);
- Dim_index = ones(1,1)*(1[color=rgb(0, 111, 224) !important]: Dim+4);
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- chromosome = initialize_variables(pop, M, Dim, min_range, max_range, Dim_index);
- chromosome = non_domination_sort_mod(chromosome, M, Dim);
- result = 1;
- while gen ~= 0
- subgroup = rnd_divide(Dim, sub_dim);
- for i=1:length(subgroup)
- subgroup{i}(sub_dim+1)=Dim+1;
- subgroup{i}(sub_dim+2)=Dim+2;
- subgroup{i}(sub_dim+3)=Dim+3;
- subgroup{i}(sub_dim+4)=Dim+4;
- [temp_chromosome] = nsga2(chromosome(:,subgroup{i}), sub_dim, subgroup{i});
- chromosome(:,subgroup{i}(1:sub_dim)) = temp_chromosome(:,1:sub_dim);
- end
- chromosome = nsga2(chromosome, Dim, Dim_index);
- chromosome = non_domination_sort_mod(chromosome, M, Dim);
- gen =gen - 1;
- progress = 1-gen/10
- end
- plot(chromosome(:,Dim + 1),chromosome(:,Dim + 2),'*');
- xlabel('f_1'); ylabel('f_2');
- title('Pareto Optimal Front');% n! d, T+ x: {7 x' E9 w
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+ U% J8 L# ~0 t. {
随机分组代码:
- s/ x9 o6 h" c$ g6 W5 e [4 P, W) Q2 z% ?
- % random grouping
- function group = rnd_divide(dim, subdim)
- dim_rand = randperm(dim);
- group = {};
- for i = 1:subdim:dim
- index = dim_rand(i:i+subdim-1);
- group = {group{1:end} index};
- end
- end4 ^) r0 P; G* t% b8 p: C+ {* S' r
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