Re: optimization GA

Xueguan Song — Sat, 07 Jun 2008 17:41:03 -0400

Hello, OK1

did you solve your problem?
I got the same problems these days, and also don't know how
to add a nonlinear constraint in the GA in matlab.
could you tell me if you solved it?

thanks

optimization GA

OK1 — Fri, 09 May 2008 17:13:04 -0400

Hi everyone,
can anyone help me to solve multiobjective problem with
liner and nonlinear constraints and bounds in Genetic
Algorithm toolbox.
Problem:
five design variables: x=[Ri;Ro;A;F;Z]

objective functions:

f(1)= pi*(Ro^2-Ri^2)*A*(Z+1)*Rho; % min weight
f(2)=Jz*omega/(Mh+Mf)*1000; % min time

subject to:

linear constraints:
Aineq=[-1 0 0 0 0;0 1 0 0 0;1 -1 0 0 0;0 0 -1 0 0;...
0 0 1 0 0;0 0 0 0 1;0 0 0 0 -1;0 0 0 -1 0;0 0 0 1 0];
bineq=[-55;110;-20;-1.5;3;9;-1;0;1000];

nonlinear constraints:
where c=<0
c=[-Lmax+(Z+1)*(A+delta);prz-pmax;th-tmax;s*Ms-Mh;...
-th;prz*Vsr-pmax*Vsrmax;Vsr-Vsrmax];

ceq=[];

where:

Rimin=55;
Romax=110;
deltaR=20;
Amin=1.5;
Amax=3;
delta=0.5;
Lmax=30;
Zmax=10;
Vsrmax=10000;
mi=0.5;
Rho=0.000007850;
s=1.5;
Ms=40;
Mf=3;
n=250;
pmax=1;
Jz=55;
tmax=15;
Fmax=1000;

and

S=pi*(Ro^2-Ri^2);
prz=F/S ;
Rsr=(2/3)*((Ro^3-Ri^3)/(Ro^2-Ri^2));
Vsr=(pi*Rsr*n)/30;
omega=(pi*n)/30;
Mh=2/3*mi*F*Z*((Ro^3-Ri^3)/(Ro^2-Ri^2));
f(2)=th=Jz*omega/(Mh+Mf)*1000;

I have tried to solve this as a single objective which is
fine but i could only get one solution instead of pareto
solution and when i tried to solve it as a multiobjective
problem i didn't know how to handle the nonlinear
constraints. If anyone know how to solve such problem
please let me know i would be very thankful.

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Re: optimization GA

optimization GA