遺傳算法多目標(biāo)函數(shù)優(yōu)化

1、.多目標(biāo)遺傳算法優(yōu)化銑削正交試驗(yàn)結(jié)果序號(hào)vc(m/min)fz(mm/z)ae(mm)ap(mm)F(N)Ra(m)1400.020.25446.30.1742400.040.5659.70.2113400.060.758106.50.2884400.081.010123.00.3485600.020.25899.30.2526600.040.510134.00.3027600.061.04139.70.2388600.080.756130.40.2769800.020.7510255.80.29810800.041.08255.80.28811800.060.256110.40.259128

2、00.080.54140.80.258131000.021.06314.20.240141000.040.754233.40.239151000.060.510278.60.330161000.080.258144.70.328說(shuō)明：1.建立切削力和表面粗糙度模型如： （1）此模型你們來(lái)擬合（上面有實(shí)驗(yàn)數(shù)據(jù)，剩下的兩個(gè)方程已經(jīng)是我?guī)湍銈償M合好的了） （2）Ra=10-0.92146vc0.14365fz0.16065ae0.047691ap0.38457 （3）變量約束范圍：公式（1）和（2）值越小越好，公式（3）值越大越好。=3.14 D=82.請(qǐng)將多目標(biāo)優(yōu)化操作過(guò)程錄像（同時(shí)考慮三個(gè)方程，

3、優(yōu)化出最優(yōu)的自變量數(shù)值），方便我后續(xù)進(jìn)行修改；將能保存的所有圖片及源文件發(fā)給我；將最優(yōu)解多組發(fā)給我，類(lèi)似于下圖（黃色部分為達(dá)到的要求）遺傳算法的結(jié)果:vcfzaeapFRaQ69.49510.02010.59362.030144.45690.1507-133.92377.76040.080.80047.7189298.80560.3241-3058.3469.84320.04290.79237.316175.06530.2827-1383.0170.2130.02820.69457.6443117.280.2673-837.41369.49510.02010.59362.030144.4569

4、0.1507-133.923程序如下:clear; clc;% 遺傳算法直接求解多目標(biāo)優(yōu)化D=8;% Function handle to the fitness functionF=(X)10(3.19)*(X(1).(-0.0836).*(X(2).0.825).*(X(3).0.564).*(X(4).0.454);Ra=(X)10(-0.92146)*(X(1).0.14365).*(X(2).0.16065).*(X(3).0.047691).*(X(4).0.38457);Q=(X)-1000*2*X(1).*X(2).*X(3).*X(4)/(pi*D); nvars = 4;

5、% Number of decision variableslb = 40, 0.02,0.25, 2; % Lower boundub = 100,0.08, 1.0,10; % Upper boundA = ; b = ; % No linear inequality constraintsAeq = ; beq = ; % No linear equality constraints% 遺傳算法設(shè)定約束options = gaoptimset(ParetoFraction,0.3,PopulationSize,200,Generations,300,StallGenLimit,200,T

6、olFun,1e-100,PlotFcns,gaplotpareto);% the data of Pareto1FUN=(X)F(X);Ra(X);x,fval = gamultiobj(FUN,nvars,A,b,Aeq,beq,lb,ub,options);% 開(kāi)啟一個(gè)新的圖形figure;% 畫(huà)出Pareto1plot(fval(:,1),fval(:,2),mp);% 畫(huà)出網(wǎng)格grid on;% 設(shè)定橫坐標(biāo)xlabel(F);% 設(shè)定縱坐標(biāo)ylabel(Ra);% 設(shè)定題目title(Pareto front 1);% the data of Pareto2FUN=(X)F(X);Q

7、(X);x,fval = gamultiobj(FUN,nvars,A,b,Aeq,beq,lb,ub,options);% 開(kāi)啟一個(gè)新的圖形figure;% 畫(huà)出Pareto2plot(fval(:,1),fval(:,2),mp);% 畫(huà)出網(wǎng)格grid on;% 設(shè)定橫坐標(biāo)xlabel(F);% 設(shè)定縱坐標(biāo)ylabel(Q);% 設(shè)定題目title(Pareto front 2);% the data of Pareto3FUN=(X)Ra(X);Q(X);x,fval = gamultiobj(FUN,nvars,A,b,Aeq,beq,lb,ub,options);% 開(kāi)啟一個(gè)新的圖形

8、figure;% 畫(huà)出Pareto3plot(fval(:,1),fval(:,2),mp);% 畫(huà)出網(wǎng)格grid on;% 設(shè)定橫坐標(biāo)xlabel(Ra);% 設(shè)定縱坐標(biāo)ylabel(Q);% 設(shè)定題目title(Pareto front 3);% the data of Pareto (F,Ra,Q)FUN=(X)F(X);Ra(X);Q(X);x,fval = gamultiobj(FUN,nvars,A,b,Aeq,beq,lb,ub,options);% 開(kāi)啟一個(gè)新的圖形figure;% 畫(huà)出Pareto4plot3(fval(:,1),fval(:,2),fval(:,3),m.);% 畫(huà)出網(wǎng)格grid on;% 設(shè)定橫坐標(biāo)xlabel(F);% 設(shè)定縱坐標(biāo)ylabel(Ra);% 設(shè)定豎坐標(biāo)zlabel(Q);% 設(shè)定題目title(Pareto front 4);% 重新設(shè)定遺傳算法options = gaoptimset(ParetoFraction,0.3,PopulationSize,5,Generations,1000,StallGenLimit,200,TolFun,1e-100,PlotFcns,gaplotpareto);% 遺傳算法求解x,fval = gamultiobj(FUN,nvar