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上呈:基本的遗传算法程序

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发表于 2004-9-9 16:40:03 | 显示全部楼层 |阅读模式
< ><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&lt;=x1,x2&lt;=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&gt;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&gt;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>
发表于 2004-9-15 06:44:39 | 显示全部楼层
<><img src="http://www.shumo.com/bbs/Skins/Default/emot/em01.gif">够辛苦的,试试再说!</P>
发表于 2004-9-18 20:03:21 | 显示全部楼层
< 0cm 0cm 0pt">植物基因<FONT face="Times New Roman">AA</FONT>,<FONT face="Times New Roman">Aa,  aa </FONT>比例相同。现与<FONT face="Times New Roman">Aa</FONT>杂交结果如下表,纵坐标表示为结果比例,建模说明<FONT face="Times New Roman">5</FONT>代后情况:</P><TABLE medium none; BORDER-TOP: medium none; BORDER-LEFT: medium none; BORDER-BOTTOM: medium none; BORDER-COLLAPSE: collapse; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt" cellSpacing=0 cellPadding=0 border=1><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" vAlign=top>< 0cm 0cm 0pt">杂交</P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #e0dfe3; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt" vAlign=top>< 0cm 0cm 0pt"><FONT face="Times New Roman">AA</FONT></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #e0dfe3; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt" vAlign=top><P 0cm 0cm 0pt"><FONT face="Times New Roman">Aa</FONT></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #e0dfe3; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt" vAlign=top><P 0cm 0cm 0pt"><FONT face="Times New Roman">aa</FONT></P></TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #e0dfe3; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt" vAlign=top><P 0cm 0cm 0pt"><FONT face="Times New Roman">AA</FONT></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #e0dfe3; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #e0dfe3; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top><P 0cm 0cm 0pt"><FONT face="Times New Roman">0.5</FONT></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #e0dfe3; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #e0dfe3; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top><P 0cm 0cm 0pt"><FONT face="Times New Roman">0.25</FONT></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #e0dfe3; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #e0dfe3; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top><P 0cm 0cm 0pt"><FONT face="Times New Roman">0</FONT></P></TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #e0dfe3; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt" vAlign=top><P 0cm 0cm 0pt"><FONT face="Times New Roman">Aa</FONT></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #e0dfe3; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #e0dfe3; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top><P 0cm 0cm 0pt"><FONT face="Times New Roman">0.5</FONT></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #e0dfe3; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #e0dfe3; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top><P 0cm 0cm 0pt"><FONT face="Times New Roman">0.5</FONT></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #e0dfe3; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #e0dfe3; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top><P 0cm 0cm 0pt"><FONT face="Times New Roman">0.5</FONT></P></TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #e0dfe3; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt" vAlign=top><P 0cm 0cm 0pt"><FONT face="Times New Roman">aa</FONT></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #e0dfe3; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #e0dfe3; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top><P 0cm 0cm 0pt"><FONT face="Times New Roman">0</FONT></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #e0dfe3; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #e0dfe3; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top><P 0cm 0cm 0pt"><FONT face="Times New Roman">0.25</FONT></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #e0dfe3; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #e0dfe3; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top><P 0cm 0cm 0pt"><FONT face="Times New Roman">0.5</FONT></P></TD></TR></TABLE><P>帮我算下这个</P>
发表于 2006-8-21 00:49:24 | 显示全部楼层
<p>8错</p>
发表于 2007-8-3 20:17:56 | 显示全部楼层

回复 #1 54hjhf 的帖子

尊敬的搂主:您问你的reproduce算子是用的什么方法,一般的不都是轮盘算法吗?能解释一下你这样写的原理吗?我研究楼主的程序两天了.
发表于 2009-10-23 14:33:41 | 显示全部楼层
怎么出现这么多微笑的表情啊·
发表于 2011-4-16 18:46:25 | 显示全部楼层
怎么都没有注释啊?
发表于 2011-4-16 18:47:46 | 显示全部楼层
怎么都没有注释啊?
发表于 2011-7-16 10:16:45 | 显示全部楼层
恩呢  谢谢 复制了
发表于 2011-8-25 13:00:39 | 显示全部楼层
可以用吗?
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