【背包问题】基于matlab量子免疫克隆算法求解背包问题【含Matlab源码 424期】

110 阅读3分钟

一、简介

1 量子免疫克隆
在这里插入图片描述
在这里插入图片描述

二、源代码

clear;
C=[253 245 243 239 239 239 238 238 237 232 231 231 230 229 228 227 224 217 213 207 203 201 195 194 191 187 187 177 175 171 169 168 165 164 161 160 158 150 149 147 141 140 139 136 135 132 128 126 122 120 119 116 116 114 111 110 105 105 104 103 93 92 90 79 78 77 76 76 75 73 62 62 61 60 60 59 57 56 53 53 51 50 44 44 42 42 38 36 34 28 27 24 22 18 12 10 7 4 4 1];
W=[253 245 243 239 239 239 238 238 237 232 231 231 230 229 228 227 224 217 213 207 203 201 195 194 191 187 187 177 175 171 169 168 165 164 161 160 158 150 149 147 141 140 139 136 135 132 128 126 122 120 119 116 116 114 111 110 105 105 104 103 93 92 90 79 78 77 76 76 75 73 62 62 61 60 60 59 57 56 53 53 51 50 44 44 42 42 38 36 34 28 27 24 22 18 12 10 7 4 4 1];
V=6666;
a=2.40;
q=(sqrt(1/2)).*ones(20,100);
[N,L] = size(q); ger =500; pm=0.0088; pc=0.88; fat=0.1;
disp(sprintf('Number of generations: %d',ger));
disp(sprintf('Population size: %d',N/2));
% General parameters & Initial operations
vmfit = []; it = 1; vx = []; T=[]; vw=[];
f='dot(v,C1,2)'; 
updatef=0;
% Generations
t0 = clock; 
c1=0; 
while it <= ger
    itemp=[1 3 5 7 9 11 13 15 17 19];
    v=observe(q(itemp,:));  
    rate=C./W;
    [a,ind] = sort(rate);
    for j=1:N/2
    i1=1;
    %repair
    knoverfilled=0;
    if  dot(v(j,:),W)>6666
        knoverfilled=1;
    end
    while knoverfilled==1
        v(j,ind(i1))=0;
        if dot(v(j,:),W)<=6666
             knoverfilled=0;
         end
     i1=i1+1;    
     end
     v(j,:)=v(j,:);
   end
   %and/or Crossver
   for i=1:N/2
   cind(i)=i;
   end
   for i=1:N/2
   point=unidrnd(N/2-i+1);
   temp=cind(i);
   cind(i)=cind(i+point-1);
   cind(i+point-1)=temp;
   end
   for i=1:2:N/2
   p=rand(1);
   if(p<pc)
      c1=and(v(cind(i),:),v(cind(i+1),:));
      c2=or(v(cind(i),:),v(cind(i+1),:));
      v(cind(i),:)=c1;
      v(cind(i+1),:)=c2;    
  end
  end
  for j=1:N/2
    i1=1; 
  %repair
    knoverfilled=0;
    if  dot(v(j,:),W)>6666
        knoverfilled=1;
    end
    while knoverfilled==1
        v(j,ind(i1))=0;
        if dot(v(j,:),W)<=6666
             knoverfilled=0;
         end
     i1=i1+1;    
     end
     v(j,:)=v(j,:);
   end
  C1=ones(N/2,1)*C;
  fit=eval(f);
  [sol,indb] = max(fit);
  maxf=sol;
  max1=v(indb,:);
  minf=min(fit);
  if updatef>=sol
      maxf=updatef;
      max1=updatec;
  else
      maxf=sol;
      max1=v(indb,:);
  end
   %量子变异
       for i=1:2:size(q,1)
           for j=1:size(q,2)
              if v((i+1)/2,j)==max1(1,j)
                if max1(1,j)==0
                    s=0;
                    angle=0;
                else
                      if q(i,j)*q(i+1,j)>0
                         s=1;
                         angle=0.015;
                      end
                      if q(i,j)*q(i+1,j)<0
                         s=-1;
                         angle=0.015;
                      end
                      if q(i,j)==0
                         s=0;
                         angle=0.015;
                      end
                      if q(i+1,j)==0
                         s=1;
                         angle=0.015;
                      end   
                end
           elseif v((i+1)/2,j)==0
              if maxf>fit((i+1)/2)
                 s=0;
                 angle=0;
              else
                 if q(i,j)*q(i+1,j)>0
                    s=-1;
                    angle=0.015;
                    end
                 if q(i,j)*q(i+1,j)<0
                    s=1;
                    angle=0.015;
                    end
                 if q(i,j)==0
                    s=1;
                    angle=0.015;
                    end
                 if q(i+1,j)==0
                    s=0;
                    angle=0.015;
                 end
              end
           else
              if maxf>fit((i+1)/2)
                 if q(i,j)*q(i+1,j)>0
                    s=-1;
                    angle=0.015;
                 end
                 if q(i,j)*q(i+1,j)<0
                    s=1;
                    angle=0.015;
                 end
                 if q(i,j)==0
                    s=1;
                    angle=0.015;
                 end
                 if q(i+1,j)==0
                    s=0;
                    angle=0.015;
                 end
              else
                 if q(i,j)*q(i+1,j)>0
                    s=1;
                    angle=0.015;
                 end
                 if q(i,j)*q(i+1,j)<0
                    s=-1;
                    angle=0.015;
                 end
                 if q(i,j)==0
                    s=0;
                    angle=0.015;
                 end
                 if q(i+1,j)==0
                    s=1;
                    angle=0.015;
                 end
              end
           end
        o=s*angle*pi;
        u=[cos(o) -sin(o);sin(o) cos(o)];
        temp1=[q(i,j);q(i+1,j)];
        temp2=u*temp1;
        q(i,j)=temp2(1,1);
        q(i+1,j)=temp2(2,1);
    end

三、运行结果

在这里插入图片描述

四、备注

版本:2014a