What is a good optimization algorithm for a binary constraints function?
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I'm using fmincon at the moment but one of the equality constraints functions that I have can only output a logical array. This means that fmincon cannot know in which direction to continue its search (right?) so I often get an infeasible point as a result. My question is whether there's an interesting MATLAB algorithm that can deal with this type of nonlinear optimization. Global optimization toolbox perhaps?
To visualize, I'm looking for a solution of n points that each contain 3 variables, so the solution is n by 3 and the logical array is n x 1, indicating whether the solution is possible at all. If any of the logicals is true, the solution is useless. I have no knowledge at all of this constraints function so I cannot adjust the upper/lower bound meaningfully.
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Daniele Sonaglioni
2021-11-4
You can try to use Global Search with fmincon as routine and put all your constraints inside GlobalSearch. I think that this is a very good way to deal with your problem.
Alternatively, you can use the genetic algorithm which works very well.
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