Dear Achour,
I think gamultiobj is able to handle nonlinear constraints, but it may take a long time for each iteration. Besides, it takes long time to generate the initial population even if only linear constrants are applied. A better solution is that you may try to use some customer algorithms to handle these linear or nonlinear constraints.
Regards,
Huilong
does all the recent Matlab versions ara able to handle nonlinear constraint, I'm trying with the R2014a and I think I doesn't .
thanj you
I don't know the case in MATLAB 2014, I am using R2017a, you may find from the attached link that nonlcon is the function for the user to set nonlinear constraints. https://it.mathworks.com/help/gads/gamultiobj.html
Dear Huilong
I installed Matlab R2015b I found that it has the possibility to handle nonlinear constraint using optimization toolbox, witch is not possible in previous Matlab versions.
I run the optimization problem and I got a Pareto front with just one solution, what do you think about that?
the Pareto solution file is attached in this message
thank you
Dear Achour,
Generally, I will try to increase the population size and verify the correctness of the objective functions when I get similar situations.
Huilong
Dear Huilong
thank you so much for your help, I have one last question if you don"t mind,
I used the weighted sum method in Matlab with the Fmincon solver. I got a Pareto front with both dominated and non dominated solution. my question is how can do to eliminate the dominated one and get the Pareto front with just non dominated solution?
thank you
I never did it in that way, but I think you will need a large amount of calculations with different wieights using the weighted sum method...
thank you
the code is :
F = f1*w1+f2*w2
for i =0:0.01:1
w1 = i;
w2 = 1-i;
% Calling fmincon and passing weignts to objfun and confun
[x,fval] = fmincon(@multiobjf,x0,A,b,Aeq,beq,lb,ub,@myconf,[],w1,w2);
end
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