optimize four functions together
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nadia nadi
el 24 de Mayo de 2023
Comentada: Walter Roberson
el 25 de Mayo de 2023
Hello,
I have four functions and I want to optimize them together by ga. I know that I can solve each function alone and I already got an answer about that, but if I have all of them. The values I want to get is F1=0.405, F2=24.736 ,F3=0.525, F4=14.97. I approciate any help.
F1=@(x) 0.25-4.27*x(1)+0.61*x(2)+13.34*x(1)*x(2)-4.69*x(2).^2;
F2 = @(x) 30.07+71.68*x(1)-21.83*x(2)-306.55*x(1)*x(2)+179*x(2)^2;
F3 = @(x) 0.54-18.32*x(3)-10.6*x(1)-3.22*x(2)+0.3*x(4)+273.71*x(3)*x(1)+60.28*x(1)*x(2)-19.81*x(2).^2;
F4 = @(x) 17.39+1246.36*x(3)+348.83*x(1)-88.27*x(2)-43.72*x(4)-24455.25*x(3)*x(1)-1164.66*x(1)*x(2)+347.38*x(2)*x(4);
FitnessFunction=[F1;F2;F3;F4];
% [ fn, fc, f0, ff] ; % the range like this
lb = [0.001,0.01,0.0002,0.1];
ub = [0.045,0.1,0.0045,0.2];
numberOfVariables = 4;
A = []; b = [];
Aeq = []; beq = [];
[x,fval] = ga(FitnessFunction, numberOfVariables, A, b, Aeq, beq, lb, ub)
Many thanks
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Respuesta aceptada
Walter Roberson
el 24 de Mayo de 2023
Movida: Matt J
el 24 de Mayo de 2023
6 comentarios
Walter Roberson
el 25 de Mayo de 2023
Option 1: functions are independent, but for some reason you want to call an optimizer only once instead of making four separate optimization calls. Note that this approach will always be less efficient than making separate optimization calls:
F1=@(x) 0.25-4.27*x(1)+0.61*x(2)+13.34*x(1)*x(2)-4.69*x(2).^2;
F2 = @(x) 30.07+71.68*x(1)-21.83*x(2)-306.55*x(1)*x(2)+179*x(2)^2;
F3 = @(x) 0.54-18.32*x(3)-10.6*x(1)-3.22*x(2)+0.3*x(4)+273.71*x(3)*x(1)+60.28*x(1)*x(2)-19.81*x(2).^2;
F4 = @(x) 17.39+1246.36*x(3)+348.83*x(1)-88.27*x(2)-43.72*x(4)-24455.25*x(3)*x(1)-1164.66*x(1)*x(2)+347.38*x(2)*x(4);
FitnessFunction = @(x)[F1(x(1:2));F2(x(3:4));F3(x(5:8));F4(x(9:12))];
lb = [0.001,0.01,0.001,0.01,0.001,0.01,0.0002,0.1,0.001,0.01,0.0002,0.1]
ub = [0.045,0.1,0.045,0.1,0.045,0.1,0.0045,0.2,0.045,0.1,0.0045,0.2]
numberOfVariables = length(lb);
A = []; b = [];
Aeq = []; beq = [];
[x,fval] = gamultiobj(FitnessFunction, numberOfVariables, A, b, Aeq, beq, lb, ub)
Walter Roberson
el 25 de Mayo de 2023
Option 2: variables are shared, x(1) is the same variable for each, x(2) is the same for each, x(3) is the same for each that uses it, etc.
F1=@(x) 0.25-4.27*x(1)+0.61*x(2)+13.34*x(1)*x(2)-4.69*x(2).^2;
F2 = @(x) 30.07+71.68*x(1)-21.83*x(2)-306.55*x(1)*x(2)+179*x(2)^2;
F3 = @(x) 0.54-18.32*x(3)-10.6*x(1)-3.22*x(2)+0.3*x(4)+273.71*x(3)*x(1)+60.28*x(1)*x(2)-19.81*x(2).^2;
F4 = @(x) 17.39+1246.36*x(3)+348.83*x(1)-88.27*x(2)-43.72*x(4)-24455.25*x(3)*x(1)-1164.66*x(1)*x(2)+347.38*x(2)*x(4);
FitnessFunction = @(x)[F1(x(1:2));F2(x(1:2));F3(x(1:4));F4(x(1:4))];
lb = [0.001,0.01,0.0002,0.1];
ub = [0.045,0.1,0.0045,0.2];
numberOfVariables = length(lb);
A = []; b = [];
Aeq = []; beq = [];
[x,fval] = gamultiobj(FitnessFunction, numberOfVariables, A, b, Aeq, beq, lb, ub)
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