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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。6 f4 p7 E) I5 w) i. O1 O
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NSGA2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。+ b/ X0 N& B! A* I; X r. g
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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。; k1 D" W( R# }$ \; s
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MATLAB主函数代码:4 u; O. S7 C3 h3 \
: V) {# z* y( g" W* d# F- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- 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: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');8 _4 Z4 g) V, ^% J+ T$ {& P
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$ N( O, b) s" S8 ~0 N$ o) C随机分组代码:
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v/ k/ I C4 S' Z) Q- % 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
- end6 s2 [0 H3 H( @* a% m# x
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