I am using the genetic algorithm (ga) in Matlab, and I have problems in providing few constraints to it. Up to now I have used ga by imposing only bounds LB and UB. Namely,
0<a_1<50, 0<a_2<50, -2<a_3<0, -50<b<0.
However, now I need that few further conditions are satisfied:
-54-b<a_1<-b, -2<a_3<(a_1+b)/27, sqrt(12*a_1*a_3+12*a_3*b)<a_2<-1/3*(a_1+b+27*a_3)
To introduce these constraints I could introduce a penalty factor in the objective function but GA would fail to find a global optimum vector. Do you know if there is a correct way to implement such constraints?
I'm new to ga and any suggestion would be very useful!
You can as well create your very own constraint function and then feed this function to ga(). Check this out for further insights. In this page you'll find a brief tutorial by Mathworks regarding Constrained Minimization Problem with both upper and lower bounds and constrains.