How to use Genetic Algorithm (GA) for multi-objective function (Dynamic Optimization)?

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Sherif Shokry
Sherif Shokry 2018-1-11
评论： Walter Roberson 2018-1-25
I need to optimize this multiobjective function using GA:
Z=min(2X+Y);
X= sum (a1+b1+c1-d1+(N1/S))
Y= sum (a2+b2+c2-d2+(N2/S))
All other variables are known (however, dynamically changed), excepted (b1,b2) which needed to optimized to get the optimal value of (Z)

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Alan Weiss
Alan Weiss 2018-1-11
This does not look like a multiobjective problem to me. You have a single scalar objective Z. Furthermore, it seems to be an unbounded problem, with no finite minimum (I mean it seems that b1 and b2 could take the values -Inf, and then Z would also have the value -Inf, which is the minimum).
If I misunderstand, feel free to clarify.
Alan Weiss
MATLAB mathematical toolbox documentation
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Sherif Shokry
Sherif Shokry 2018-1-25
I think the function (fmincon) is not appropriate to my case. In my case I'm seeking (b) variables which achieve the optimal (y). However, if I understood correctly (fmincon) finds (y) variables that achieve optimal (b).
Walter Roberson
Walter Roberson 2018-1-25
"However, if I understood correctly (fmincon) finds (y) variables that achieve optimal (b)."
No, fmincon seeks the inputs that give the lowest outputs.
However, fmincon is a local minimizer -- it gets stuck in local minima.
"this process aims to input the variable values into the fitness function since this variables is in a dynamic iteration and the fitness function is done iteratively"
http://www.mathworks.com/help/matlab/math/parameterizing-functions.html

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