How do I minimize one output and constrain the value of another?

Hello,

I have a function which takes in a vector v and gives two outputs p and q. I wish to minimize output p while keeping output q at a certain value i choose. Is there any way I can do this with ga ?

Thank you.

[VBBV]

Use the resource in the link

https://in.mathworks.com/help/optim/ug/fmincon.html

Answer 1

[Ameer Hamza]

Yes, it is possible. However, it might be better of you divide it into two different functions to avoid redundant calculations. However, if speed is not a concern, then you can do something like this.

function [p q] = myObjective(v)
    % calculates p and q
end

Then call ga() like this

v_sol = ga(@myObjective, 2, [], [], [], [], [], [], @nlcon)

function [c ceq] = nlcon(v)
    q_ = 1; % suppose you want the value of q to be 1.
    [~, q] = myObjective(v)
    ceq = q - q_;
    c = []
end

[Jiashu Huang]

Thank you very much!

[Ameer Hamza]

I am glad to be of help!