< ><FONT size=3>下面的程序是用遗传算法求函数:<FONT face="Times New Roman">f(x1,x2)=100(x1*x1-x2*x2) (x1*x1-x2*x2)+(1-x1)(1-x1) </FONT></FONT></P>
< ><FONT size=3>约束:<FONT face="Times New Roman">-2.048<=x1,x2<=2.048</FONT>的极大值</FONT></P>
< ><p><FONT face="Times New Roman" size=3> </FONT></p></P>
<P ><FONT face="Times New Roman" size=3>%Generic Algorithm for function f(x1,x2) optimum</FONT></P>
<P ><FONT face="Times New Roman" size=3>clear all;</FONT></P>
<P ><FONT face="Times New Roman" size=3>close all;</FONT></P>
<P ><FONT face="Times New Roman" size=3> </FONT></P>
<P ><FONT face="Times New Roman" size=3>%parameters</FONT></P>
<P ><FONT face="Times New Roman" size=3>Size=80;</FONT></P>
<P ><FONT face="Times New Roman" size=3>G=100;</FONT></P>
<P ><FONT face="Times New Roman" size=3>Codel=10;</FONT></P>
<P ><FONT face="Times New Roman" size=3>umax=2.048;</FONT></P>
<P ><FONT face="Times New Roman" size=3>umin=-2.048;</FONT></P>
<P ><FONT face="Times New Roman" size=3>E=round(rand(Size,2*Codel)); %initial code</FONT></P>
<P ><p><FONT face="Times New Roman" size=3> </FONT></p></P>
<P ><FONT face="Times New Roman" size=3>%Main program</FONT></P>
<P ><FONT face="Times New Roman" size=3>for k=1:1:G</FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> time(k)=k;</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> for s=1:1:Size</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> m=E(s,;</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> y1=0;</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> y2=0;</FONT></FONT></P>
<P ><FONT face="Times New Roman" size=3> </FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> %uncoding</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> m1=m(1:1:Codel);</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> for i=1:1:Codel</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> y1=y1+m1(i)*2^(i-1);</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> end</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> x1=(umax-umin)*y1/1023+umin;</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> m2=m(Codel+1:1:2*Codel);</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> for i=1:1:Codel</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> y2=y2+m2(i)*2^(i-1);</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> end</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> x2=(umax-umin)*y2/1023+umin;</FONT></FONT></P>
<P ><FONT face="Times New Roman" size=3> </FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> F(s)=100*(x1^2-x2)^2+(1-x1)^2;</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> end</FONT></FONT></P>
<P ><FONT face="Times New Roman" size=3> </FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> Ji=1./F;</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> %***********Step 1:Evaluate BestJ**********</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> BestJ(k)=min(Ji);</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> fi=F; %Fitness Function</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> [Oderfi,Indexfi]=sort(fi); %Arranging fi small to bigger</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> Bestfi=Oderfi(Size); %LetBestJfi=max(fi)</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> BestS=E(Indexfi(Size),; %Let BestS=E(m),m is the Indexfi belong to max(fi)</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> bfi(k)=Bestfi;</FONT></FONT></P>
<P ><FONT face="Times New Roman" size=3> </FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> %**********Step 2:Select and Reproduct Operetion******</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> fi_sum=sum(fi);</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> fi_Size=(Oderfi/fi_sum)*Size;</FONT></FONT></P>
<P ><FONT face="Times New Roman" size=3> </FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> fi_S=floor(fi_Size); %Selecting Bigger fi value</FONT></FONT></P>
<P ><FONT face="Times New Roman" size=3> </FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> kk=1;</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> for i=1:1:Size %Selece and Reproduce</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> for j=1:1:fi_S(i)</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> <st1:place w:st="on"><st1:City w:st="on">TempE</st1:City></st1:place>(kk,=E(Indexfi(i),:);</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> kk=kk+1; %kk is used to roproduce</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> end;</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> end</FONT></FONT></P>
<P ><FONT face="Times New Roman" size=3> </FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> %**********Step 3:Crossover Operation***********</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> pc=0.60;</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> n=ceil(20*rand);</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> for i=1:2Size-1)</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> temp=rand;</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> if pc>temp %crossover condition</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> for j=n:1:20</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> <st1:place w:st="on"><st1:City w:st="on">TempE</st1:City></st1:place>(i,j)=E(i+1,j);</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> <st1:place w:st="on"><st1:City w:st="on">TempE</st1:City></st1:place>(i+1,j)=E(i,j);</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> end</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> end</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> end</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> <st1:place w:st="on"><st1:City w:st="on">TempE</st1:City></st1:place>(Size,:)=BestS;</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> E=<st1:City w:st="on"><st1:place w:st="on">TempE</st1:place></st1:City>;</FONT></FONT></P>
<P ><FONT face="Times New Roman" size=3> </FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> %*********Step 4:Mutation Operation**********</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> %pm=0.001;</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> %pm=0.001-[1:1:Size]*(0.001)/Size; %Bigger fi,smaller Pm</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> %pm=0.0; %No mutation</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> pm=0.1; %Big mutation</FONT></FONT></P>
<P ><FONT face="Times New Roman" size=3> </FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> for i=1:1:Size</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> for j=1:1:2*Codel</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> temp=rand;</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> if pm>temp %Mutation condition</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> if <st1:place w:st="on"><st1:City w:st="on">TempE</st1:City></st1:place>(i,j)==0</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> <st1:place w:st="on"><st1:City w:st="on">TempE</st1:City></st1:place>(i,j)=1;</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> else</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> <st1:place w:st="on"><st1:City w:st="on">TempE</st1:City></st1:place>(i,j)=0;</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> end</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> end</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> end</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> end</FONT></FONT></P>
<P ><FONT face="Times New Roman" size=3> </FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> %Guarantee TempPop(30,:)is the code belong to the best individual (maxz(fi))</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> <st1:place w:st="on"><st1:City w:st="on">TempE</st1:City></st1:place>(Size,:)=BestS;</FONT></FONT></P>
<P ><FONT size=3><FONT face="Times New Roman"> E=<st1:City w:st="on"><st1:place w:st="on">TempE</st1:place></st1:City>;</FONT></FONT></P>
<P ><FONT face="Times New Roman" size=3>end</FONT></P>
<P ><p><FONT face="Times New Roman" size=3> </FONT></p></P>
<P ><FONT face="Times New Roman" size=3>Max_Value=Bestfi</FONT></P>
<P ><FONT face="Times New Roman" size=3>BestS</FONT></P>
<P ><FONT face="Times New Roman" size=3>x1</FONT></P>
<P ><FONT face="Times New Roman" size=3>x2</FONT></P>
<P ><FONT face="Times New Roman" size=3>figure(1);</FONT></P>
<P ><FONT face="Times New Roman" size=3>plot(time,BestJ);</FONT></P>
<P ><FONT face="Times New Roman" size=3>xlabel('Times');ylabel('bestJ');</FONT></P>
<P ><FONT face="Times New Roman" size=3>figure(2);</FONT></P>
<P ><FONT face="Times New Roman" size=3>plot(time,bfi);</FONT></P>
<P ><FONT face="Times New Roman" size=3>xlabel('times');ylabel('Best F');</FONT></P>
<P ><p><FONT face="Times New Roman" size=3> </FONT></p></P>
<P ><FONT face="Times New Roman" size=3> </FONT></P>
<P ><FONT face="Times New Roman" size=3> </FONT></P>
<P ><FONT face="Times New Roman" size=3> </FONT></P> |