智能多媒體實驗報告基于遺傳算法的函數(shù)優(yōu)化

1、智能多媒體實驗報告實驗六：基于遺傳算法的函數(shù)優(yōu)化姓名：班級：學號：同做者： 一、實驗目的利用遺傳算法求解函數(shù)極值。二、算法概要1遺傳算法概要遺傳算法是具有“生成+檢測”的迭代過程的搜索算法。它的基本處理流程如圖6.1所示。由此流程圖可見，遺傳算法是一種群體型操作，該操作以群體中的所有個體為對象。選擇（selection）、交叉（crossover）和變異（mutation）是遺傳算法的3個主要操作算子，它們構(gòu)成了所謂的遺傳操作（genetic operation），使遺傳算法具有了其它傳統(tǒng)方法所沒有的特性。遺傳算子包含如下6個基本因素：（1） 參數(shù)編碼：由于遺傳算法不能直接處理解空間的解數(shù)據(jù)，

2、因此必須通過編碼將它們表示成遺傳空間的基因型串結(jié)構(gòu)數(shù)據(jù)。（2） 生成初始群體：由于遺傳算法的群體型操作需要，所以必須為遺傳操作準備一個由若干初始解組成的初始群體。初始群體的每個個體都是通過隨機方法產(chǎn)生。（3） 適應度評估檢測：遺傳算法在搜索進化過程中一般不需要其他外部信息，僅用適應度（fitness）值來評估個體或解的優(yōu)劣，并作為以后遺傳操作的依據(jù)。（4） 選擇（selection）：選擇或復制操作是為了從當前群體中選出優(yōu)良的個體， 使它們有機會作為父代為下一代繁殖子孫。個體適應度越高，其被選擇的機會就越多。此處采用與適用度成比例的概率方法進行選擇。具體地說，就是首先計算群體中所有個體適應度的

3、總和（），再計算每個個體的適應度所占的比例（），并以此作為相應的選擇概率。（5） 交叉操作：交叉操作是遺傳算法中最主要的遺傳操作。簡單的交叉（即一點交叉）可分兩步進行：首先對種群中個體進行隨機配對;其次，在配對個體中隨機設(shè)定交叉處，配對個體彼此交換部分信息。（6） 變異：變異操作是按位（bit）進行的，即把某一位的內(nèi)容進行變異。變異操作同樣也是隨機進行的。一般而言，變異概率都取得較小。變異操作是十分微妙的遺傳操作，它需要和交叉操作配合使用，目的是挖掘群體中個體的多樣性，克服有可能限于局部解的弊病。這6個要素構(gòu)成了遺傳算法的核心內(nèi)容，其流程如圖6.1所示。圖6.1 遺傳算法的基本流程2二進制編碼

4、及解碼方法二進制編碼是遺傳算法中最主要的一種編碼方法，它使用的編碼符號集是由二進制符號0和1所組成的二進制符號集0，1，它所構(gòu)成的個體基因型是一個二進制編碼符號串。二進制編碼符號串的長度與問題所要求的求解精度有關(guān)。假設(shè)某一參數(shù)的取值范圍是umin，umax，我們用長度為l的二進制編碼符號串來表示該參數(shù)，則它總共能夠產(chǎn)生種不同的編碼，若使參數(shù)編碼時的對應關(guān)系如下：0000000000000000=0 umin 0000000000000001=1 umin+ 11111111111111111=2l1 umax則二進制編碼的編碼精度為： （6-1）假設(shè)某一個個體的編碼是：x blbl1bl，則對

5、應的解碼公式為： （6-2）例如，對于，若用十位長的二進制編碼來表示該參數(shù)的話，則下述符號串：x：0010101111就可表示一個個體，它所對應的參數(shù)值是。此時的編碼精度為。其中：f 個體適應度umin，umax 某變量的取值范圍 編碼精度三、算法步驟及流程圖step1：參數(shù)設(shè)置及種群初始化；step2：適應度評價；step3：輪盤賭選擇；step4：交叉；step5：變異；step6：適應度評價；step7：終止條件判斷，若未達到終止條件，則轉(zhuǎn)到step3；step8：輸出結(jié)果。四、實驗程序主程序clc;clear;close all;v = 2*rand(50,22)-1;v=hardli

6、m(v);n,l = size(v); ger = 200; pc = 0.5; pm = 0.01; updatef=0;c=0;disp(sprintf('number of generations: %d',ger);disp(sprintf('population size: %d',n);disp(sprintf('crossover probability: %.3f',pc);disp(sprintf('mutation probability: %.3f',pm);f='-1*(x.2+y.2)'%

7、 general parameters & initial operationssol1=1; vmfit = ; it = 1; vx = ; c = ;updatef=-10;x = decod(v(:,1:11),11); y = decod(v(:,12:end),11); fit = eval(f);% generationst0 = clock;while it <= ger% selection 輪盤賭for i=1:n sp(i)=(fit(i)+3)/sum(fit+3);%endfor i=2:n sp(i)=sp(i-1)+sp(i);endfor i=1:

8、n p=rand(1); sindex=1; while p > sp(sindex) sindex=sindex+1; %尋找要選擇個體的位置 end newv(i,:)=v(sindex,:); endfor i=1:n v(i,:)=newv(i,:);%用選擇出的個體構(gòu)成的種群替代舊的種群end% crossverfor i=1:n cindex(i)=i;endfor i=1:n %產(chǎn)生要配對的父代的序號；經(jīng)過n次順序調(diào)換，將原有順序打亂，使相鄰兩個個體作為交叉的父代 point=unidrnd(n-i+1); temp=cindex(i); cindex(i)=cindex(

9、i+point-1); cindex(i+point-1)=temp;endfor i=1:2:n p=rand(1); if(p<pc) point=unidrnd(l-1)+1;%1<point<l 產(chǎn)生交叉點 for j=point:(l-1) %交叉 ch=v(cindex(i),j); v(cindex(i),j)=v(cindex(i+1),j); %cindex中相鄰的兩個為兩個父代的序號 v(cindex(i+1),j)=ch; end endend% mutationm=rand(n,l)<=pm;%產(chǎn)生（n，l）維的01矩陣，為1的位置進行變異v=v

10、-2.*(v.*m)+m;% evaluatefitness & evolutionx = decod(v(:,1:11),11); y = decod(v(:,12:end),11); fit = eval(f);sol1,indb1 = max(fit); if updatef>=sol1 sol1=updatef; v(indb1,:)=updatec;endupdatef=sol1;updatec=v(indb1,:);sol2,indb2 = min(fit);v(indb2,:) = v(indb1,:);x = decod(v(:,1:11),11); y = de

11、cod(v(:,12:end),11); fit = eval(f);media = mean(fit);vx = vx sol1; vmfit = vmfit media; if rem(it,1) = 0 | it = 10, if c=1 disp(sprintf('gen.: %d x: %2.5f y: %2.5f av: %2.2f f(x,y): %2.40f',it,x(indb1),y(indb1),media,sol1); else disp(sprintf('gen.: %d av: %2.2f f(x,y): %2.5f',it,medi

12、a,sol1); endend;it = it + 1;end;t = etime(clock,t0); %f = flops - f0;x=x;y=y;x = x(indb1); y = y(indb1); fx = sol1; p = v;disp(sprintf('the total time is %2.4f',t); disp(sprintf('maximum found f(x,y): %.2f',fx);% xx=vx;yy=vmfit; figure(2); plot(vx,'k'); title('f(x,y) x me

13、an'); xlabel('generations'); ylabel('f(x,y)'); hold on; plot(vmfit,'k:'); legend('best','mean',0);hold off;decod.m子程序function code = decod(w_code, len)w_size = size(w_code);code = ones(w_size(1), 1);%n*1的矩陣%編寫解碼表code_arry = ones(1, len);for i = 0:len-1 cod

14、e_arry(i+1) = 2.i;end%針對每一個樣本進行解碼for i = 1:w_size(1) w = w_code(i, :); m = w.*code_arry; code(i) = sum(m);end%轉(zhuǎn)換到給定區(qū)間rate = 2./(2.len-1);code = -1 +rate.*code;return ;程序流程圖：五、實驗結(jié)果number of generations: 200population size: 50crossover probability: 0.500mutation probability: 0.010gen.: 1 x: 0.05227 y:

15、 0.17440 av: -0.55 f(x,y): -0.0331482272125327780000000000000000000000gen.: 2 x: 0.04934 y: 0.17440 av: -0.53 f(x,y): -0.0328503900402103420000000000000000000000gen.: 3 x: -0.09331 y: -0.12066 av: -0.48 f(x,y): -0.0232661425718860420000000000000000000000gen.: 4 x: 0.05227 y: 0.10992 av: -0.42 f(x,y)

16、: -0.0148140582009155010000000000000000000000gen.: 5 x: 0.05227 y: 0.10992 av: -0.37 f(x,y): -0.0148140582009155010000000000000000000000gen.: 6 x: 0.05227 y: 0.10992 av: -0.34 f(x,y): -0.0148140582009155010000000000000000000000gen.: 7 x: 0.05227 y: 0.07865 av: -0.31 f(x,y): -0.0089184095590458482000

17、000000000000000000gen.: 8 x: 0.05227 y: 0.01612 av: -0.33 f(x,y): -0.0029922135148867180000000000000000000000gen.: 9 x: 0.05227 y: 0.01612 av: -0.38 f(x,y): -0.0029922135148867180000000000000000000000gen.: 10 x: 0.05227 y: 0.01612 av: -0.32 f(x,y): -0.0029922135148867180000000000000000000000gen.: 11

18、 x: 0.05227 y: 0.01612 av: -0.24 f(x,y): -0.0029922135148867180000000000000000000000gen.: 12 x: 0.04836 y: 0.01612 av: -0.25 f(x,y): -0.0025989157104096623000000000000000000000gen.: 13 x: 0.04836 y: 0.01612 av: -0.24 f(x,y): -0.0025989157104096623000000000000000000000gen.: 14 x: 0.04836 y: 0.01612 a

19、v: -0.22 f(x,y): -0.0025989157104096623000000000000000000000gen.: 15 x: 0.04836 y: 0.01612 av: -0.24 f(x,y): -0.0025989157104096623000000000000000000000gen.: 16 x: 0.04836 y: 0.00049 av: -0.25 f(x,y): -0.0023392627909490826000000000000000000000gen.: 17 x: 0.04836 y: 0.00049 av: -0.30 f(x,y): -0.0023

20、392627909490826000000000000000000000gen.: 18 x: 0.04836 y: 0.00049 av: -0.31 f(x,y): -0.0023392627909490826000000000000000000000gen.: 19 x: 0.04836 y: 0.00049 av: -0.34 f(x,y): -0.0023392627909490826000000000000000000000gen.: 20 x: 0.04836 y: 0.00049 av: -0.37 f(x,y): -0.0023392627909490826000000000

21、000000000000gen.: 21 x: 0.03273 y: 0.03175 av: -0.41 f(x,y): -0.0020796098714885034000000000000000000000gen.: 22 x: 0.03273 y: 0.03175 av: -0.33 f(x,y): -0.0020796098714885034000000000000000000000gen.: 23 x: 0.03273 y: 0.03175 av: -0.30 f(x,y): -0.0020796098714885034000000000000000000000gen.: 24 x:

22、0.03273 y: 0.03175 av: -0.28 f(x,y): -0.0020796098714885034000000000000000000000gen.: 25 x: 0.03273 y: 0.03175 av: -0.26 f(x,y): -0.0020796098714885034000000000000000000000gen.: 26 x: 0.03273 y: 0.03175 av: -0.21 f(x,y): -0.0020796098714885034000000000000000000000gen.: 27 x: 0.03273 y: 0.03175 av: -

23、0.13 f(x,y): -0.0020796098714885034000000000000000000000gen.: 28 x: 0.03273 y: 0.03175 av: -0.13 f(x,y): -0.0020796098714885034000000000000000000000gen.: 29 x: 0.03273 y: 0.03175 av: -0.11 f(x,y): -0.0020796098714885034000000000000000000000gen.: 30 x: 0.03273 y: 0.03175 av: -0.10 f(x,y): -0.00207960

24、98714885034000000000000000000000gen.: 31 x: 0.03273 y: 0.03175 av: -0.10 f(x,y): -0.0020796098714885034000000000000000000000gen.: 32 x: 0.03273 y: 0.03175 av: -0.10 f(x,y): -0.0020796098714885034000000000000000000000gen.: 33 x: 0.03273 y: 0.03175 av: -0.19 f(x,y): -0.00207960987148850340000000000000

25、00000000gen.: 34 x: 0.02101 y: 0.03175 av: -0.23 f(x,y): -0.0014495696992679788000000000000000000000gen.: 35 x: 0.02101 y: 0.03175 av: -0.21 f(x,y): -0.0014495696992679788000000000000000000000gen.: 36 x: 0.02101 y: 0.03175 av: -0.22 f(x,y): -0.0014495696992679788000000000000000000000gen.: 37 x: 0.02

26、101 y: 0.03175 av: -0.23 f(x,y): -0.0014495696992679788000000000000000000000gen.: 38 x: 0.02101 y: 0.03175 av: -0.17 f(x,y): -0.0014495696992679788000000000000000000000gen.: 39 x: 0.02003 y: 0.03175 av: -0.17 f(x,y): -0.0014094762337630387000000000000000000000gen.: 40 x: 0.02003 y: 0.03175 av: -0.18

27、 f(x,y): -0.0014094762337630387000000000000000000000gen.: 41 x: 0.01710 y: 0.00440 av: -0.15 f(x,y): -0.0003116789639848482400000000000000000000gen.: 42 x: 0.01710 y: 0.00440 av: -0.19 f(x,y): -0.0003116789639848482400000000000000000000gen.: 43 x: 0.01710 y: 0.00440 av: -0.19 f(x,y): -0.000311678963

28、9848482400000000000000000000gen.: 44 x: 0.01710 y: 0.00440 av: -0.21 f(x,y): -0.0003116789639848482400000000000000000000gen.: 45 x: 0.01710 y: 0.00440 av: -0.20 f(x,y): -0.0003116789639848482400000000000000000000gen.: 46 x: 0.01710 y: 0.00440 av: -0.15 f(x,y): -0.000311678963984848240000000000000000

29、0000gen.: 47 x: 0.01710 y: 0.00440 av: -0.15 f(x,y): -0.0003116789639848482400000000000000000000gen.: 48 x: 0.00537 y: 0.00440 av: -0.19 f(x,y): -0.0000482076192380845980000000000000000000gen.: 49 x: 0.00537 y: 0.00440 av: -0.25 f(x,y): -0.0000482076192380845980000000000000000000gen.: 50 x: 0.00537

30、y: 0.00440 av: -0.20 f(x,y): -0.0000482076192380845980000000000000000000gen.: 51 x: 0.00537 y: 0.00244 av: -0.15 f(x,y): -0.0000348431307364366280000000000000000000gen.: 52 x: 0.00537 y: 0.00049 av: -0.13 f(x,y): -0.0000291154928071597700000000000000000000gen.: 53 x: 0.00537 y: 0.00049 av: -0.13 f(x

31、,y): -0.0000291154928071597700000000000000000000gen.: 54 x: 0.00147 y: 0.00440 av: -0.11 f(x,y): -0.0000214786422347901870000000000000000000gen.: 55 x: 0.00147 y: 0.00440 av: -0.09 f(x,y): -0.0000214786422347901870000000000000000000gen.: 56 x: 0.00147 y: 0.00440 av: -0.07 f(x,y): -0.0000214786422347

32、901870000000000000000000gen.: 57 x: 0.00147 y: 0.00440 av: -0.04 f(x,y): -0.0000214786422347901870000000000000000000gen.: 58 x: 0.00049 y: 0.00440 av: -0.03 f(x,y): -0.0000195694295916979000000000000000000000gen.: 59 x: 0.00049 y: 0.00440 av: -0.03 f(x,y): -0.0000195694295916979000000000000000000000

33、gen.: 60 x: 0.00049 y: 0.00440 av: -0.05 f(x,y): -0.0000195694295916979000000000000000000000gen.: 61 x: 0.00049 y: 0.00440 av: -0.05 f(x,y): -0.0000195694295916979000000000000000000000gen.: 62 x: 0.00049 y: 0.00440 av: -0.03 f(x,y): -0.0000195694295916979000000000000000000000gen.: 63 x: 0.00049 y: 0

34、.00440 av: -0.05 f(x,y): -0.0000195694295916979000000000000000000000gen.: 64 x: 0.00049 y: 0.00440 av: -0.06 f(x,y): -0.0000195694295916979000000000000000000000gen.: 65 x: 0.00049 y: 0.00440 av: -0.09 f(x,y): -0.0000195694295916979000000000000000000000gen.: 66 x: 0.00049 y: 0.00440 av: -0.07 f(x,y):

35、 -0.0000195694295916979000000000000000000000gen.: 67 x: 0.00049 y: 0.00049 av: -0.06 f(x,y): -0.0000004773031607730718200000000000000000gen.: 68 x: 0.00049 y: 0.00049 av: -0.05 f(x,y): -0.0000004773031607730718200000000000000000gen.: 69 x: 0.00049 y: 0.00049 av: -0.06 f(x,y): -0.00000047730316077307

36、18200000000000000000gen.: 70 x: 0.00049 y: 0.00049 av: -0.08 f(x,y): -0.0000004773031607730718200000000000000000gen.: 71 x: 0.00049 y: 0.00049 av: -0.13 f(x,y): -0.0000004773031607730718200000000000000000gen.: 72 x: 0.00049 y: 0.00049 av: -0.16 f(x,y): -0.0000004773031607730718200000000000000000gen.

37、: 73 x: 0.00049 y: 0.00049 av: -0.13 f(x,y): -0.0000004773031607730718200000000000000000gen.: 74 x: 0.00049 y: 0.00049 av: -0.12 f(x,y): -0.0000004773031607730718200000000000000000gen.: 75 x: 0.00049 y: 0.00049 av: -0.10 f(x,y): -0.0000004773031607730718200000000000000000gen.: 76 x: 0.00049 y: 0.000

38、49 av: -0.04 f(x,y): -0.0000004773031607730718200000000000000000gen.: 77 x: 0.00049 y: 0.00049 av: -0.05 f(x,y): -0.0000004773031607730718200000000000000000gen.: 78 x: 0.00049 y: 0.00049 av: -0.05 f(x,y): -0.0000004773031607730718200000000000000000gen.: 79 x: 0.00049 y: 0.00049 av: -0.08 f(x,y): -0.

39、0000004773031607730718200000000000000000gen.: 80 x: 0.00049 y: 0.00049 av: -0.09 f(x,y): -0.0000004773031607730718200000000000000000gen.: 81 x: 0.00049 y: 0.00049 av: -0.13 f(x,y): -0.0000004773031607730718200000000000000000gen.: 82 x: 0.00049 y: 0.00049 av: -0.16 f(x,y): -0.000000477303160773071820

40、0000000000000000gen.: 83 x: 0.00049 y: 0.00049 av: -0.14 f(x,y): -0.0000004773031607730718200000000000000000gen.: 84 x: 0.00049 y: 0.00049 av: -0.11 f(x,y): -0.0000004773031607730718200000000000000000gen.: 85 x: 0.00049 y: 0.00049 av: -0.15 f(x,y): -0.0000004773031607730718200000000000000000gen.: 86

41、 x: 0.00049 y: 0.00049 av: -0.13 f(x,y): -0.0000004773031607730718200000000000000000gen.: 87 x: 0.00049 y: 0.00049 av: -0.11 f(x,y): -0.0000004773031607730718200000000000000000gen.: 88 x: 0.00049 y: 0.00049 av: -0.10 f(x,y): -0.0000004773031607730718200000000000000000gen.: 89 x: 0.00049 y: 0.00049 a

42、v: -0.09 f(x,y): -0.0000004773031607730718200000000000000000gen.: 90 x: 0.00049 y: 0.00049 av: -0.09 f(x,y): -0.0000004773031607730718200000000000000000gen.: 91 x: 0.00049 y: 0.00049 av: -0.09 f(x,y): -0.0000004773031607730718200000000000000000gen.: 92 x: 0.00049 y: 0.00049 av: -0.08 f(x,y): -0.0000

43、004773031607730718200000000000000000gen.: 93 x: 0.00049 y: 0.00049 av: -0.08 f(x,y): -0.0000004773031607730718200000000000000000gen.: 94 x: 0.00049 y: 0.00049 av: -0.09 f(x,y): -0.0000004773031607730718200000000000000000gen.: 95 x: 0.00049 y: 0.00049 av: -0.12 f(x,y): -0.0000004773031607730718200000

44、000000000000gen.: 96 x: 0.00049 y: 0.00049 av: -0.17 f(x,y): -0.0000004773031607730718200000000000000000gen.: 97 x: 0.00049 y: 0.00049 av: -0.15 f(x,y): -0.0000004773031607730718200000000000000000gen.: 98 x: 0.00049 y: 0.00049 av: -0.13 f(x,y): -0.0000004773031607730718200000000000000000gen.: 99 x:

45、0.00049 y: 0.00049 av: -0.11 f(x,y): -0.0000004773031607730718200000000000000000gen.: 100 x: 0.00049 y: 0.00049 av: -0.18 f(x,y): -0.0000004773031607730718200000000000000000gen.: 101 x: 0.00049 y: 0.00049 av: -0.16 f(x,y): -0.0000004773031607730718200000000000000000gen.: 102 x: 0.00049 y: 0.00049 av

46、: -0.13 f(x,y): -0.0000004773031607730718200000000000000000gen.: 103 x: 0.00049 y: 0.00049 av: -0.11 f(x,y): -0.0000004773031607730718200000000000000000gen.: 104 x: 0.00049 y: 0.00049 av: -0.08 f(x,y): -0.0000004773031607730718200000000000000000gen.: 105 x: 0.00049 y: 0.00049 av: -0.07 f(x,y): -0.00

47、00004773031607730718200000000000000000gen.: 106 x: 0.00049 y: 0.00049 av: -0.06 f(x,y): -0.0000004773031607730718200000000000000000gen.: 107 x: 0.00049 y: 0.00049 av: -0.07 f(x,y): -0.0000004773031607730718200000000000000000gen.: 108 x: 0.00049 y: 0.00049 av: -0.08 f(x,y): -0.00000047730316077307182

48、00000000000000000gen.: 109 x: 0.00049 y: 0.00049 av: -0.08 f(x,y): -0.0000004773031607730718200000000000000000gen.: 110 x: 0.00049 y: 0.00049 av: -0.12 f(x,y): -0.0000004773031607730718200000000000000000gen.: 111 x: 0.00049 y: 0.00049 av: -0.13 f(x,y): -0.0000004773031607730718200000000000000000gen.

49、: 112 x: 0.00049 y: 0.00049 av: -0.14 f(x,y): -0.0000004773031607730718200000000000000000gen.: 113 x: 0.00049 y: 0.00049 av: -0.12 f(x,y): -0.0000004773031607730718200000000000000000gen.: 114 x: 0.00049 y: 0.00049 av: -0.11 f(x,y): -0.0000004773031607730718200000000000000000gen.: 115 x: 0.00049 y: 0

50、.00049 av: -0.10 f(x,y): -0.0000004773031607730718200000000000000000gen.: 116 x: 0.00049 y: 0.00049 av: -0.07 f(x,y): -0.0000004773031607730718200000000000000000gen.: 117 x: 0.00049 y: 0.00049 av: -0.07 f(x,y): -0.0000004773031607730718200000000000000000gen.: 118 x: 0.00049 y: 0.00049 av: -0.10 f(x,

51、y): -0.0000004773031607730718200000000000000000gen.: 119 x: 0.00049 y: 0.00049 av: -0.11 f(x,y): -0.0000004773031607730718200000000000000000gen.: 120 x: 0.00049 y: 0.00049 av: -0.07 f(x,y): -0.0000004773031607730718200000000000000000gen.: 121 x: 0.00049 y: 0.00049 av: -0.12 f(x,y): -0.00000047730316

52、07730718200000000000000000gen.: 122 x: 0.00049 y: 0.00049 av: -0.08 f(x,y): -0.0000004773031607730718200000000000000000gen.: 123 x: 0.00049 y: 0.00049 av: -0.07 f(x,y): -0.0000004773031607730718200000000000000000gen.: 124 x: 0.00049 y: 0.00049 av: -0.07 f(x,y): -0.00000047730316077307182000000000000

53、00000gen.: 125 x: 0.00049 y: 0.00049 av: -0.09 f(x,y): -0.0000004773031607730718200000000000000000gen.: 126 x: 0.00049 y: 0.00049 av: -0.06 f(x,y): -0.0000004773031607730718200000000000000000gen.: 127 x: 0.00049 y: 0.00049 av: -0.04 f(x,y): -0.0000004773031607730718200000000000000000gen.: 128 x: 0.0

54、0049 y: 0.00049 av: -0.03 f(x,y): -0.0000004773031607730718200000000000000000gen.: 129 x: 0.00049 y: 0.00049 av: -0.05 f(x,y): -0.0000004773031607730718200000000000000000gen.: 130 x: 0.00049 y: 0.00049 av: -0.05 f(x,y): -0.0000004773031607730718200000000000000000gen.: 131 x: 0.00049 y: 0.00049 av: -

55、0.05 f(x,y): -0.0000004773031607730718200000000000000000gen.: 132 x: 0.00049 y: 0.00049 av: -0.10 f(x,y): -0.0000004773031607730718200000000000000000gen.: 133 x: 0.00049 y: 0.00049 av: -0.11 f(x,y): -0.0000004773031607730718200000000000000000gen.: 134 x: 0.00049 y: 0.00049 av: -0.13 f(x,y): -0.0000004773031607730718200000000000000000gen.: 135 x: 0.00049 y: 0.00049 av: -0.11 f(x,y): -0.0000004773031607730718200000000000000000gen.: 136 x: 0.00049 y: 0.00049 av: -0.10 f(x,y): -