MATLAB: How to solve a constrained binary multi-objective optimization problem through genetic algorithm

binaryconstrainedgeneticmulti-objective

Dear All,
I would like to solve a multi-objective problem that has both equality and inequality constraints and where the decision variables are binary. I would like to find the Pareto front with the help of a genetic algorithm.
The solver gamultiobj handles such binary multi-objective problems but ignores the constraints. Alternatively, I tried defining the variables' bounds to [0,1] and set all variables as integers but failed in that.
Does anybody know how to deal with this issue? Any other toolbox for MATLAB that is capable is also highly appreciated. Thank you!

Best Answer

You need to not tell it that you want integer constraints. Instead, you need to supply your own custom mutation and crossover and population files that happen to never generate non-binary values for those positions.
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