nonlinear integer(boolean) programming problem
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can we solve this using MATLAB?
cost function is known.
thanks
回答（1 个）
Alan Weiss
2020-7-30
编辑：Alan Weiss
2020-7-30
0 个投票
Is the cost linear in the decision variables? If so, use intlinprog. I assume that you have other constraints that you did not list, such as all variables are positive. All Optimization Toolbox™ solvers minimize; to maximize, use the negative of your cost function.
If the cost cannot be made linear, you can try ga or surrogateopt, which try to minimize nonlinear functions over integer variables.
Alan Weiss
MATLAB mathematical toolbox documentation
3 个评论
R yan
2020-7-30
R yan
2020-7-30
Alan Weiss
2020-7-30
I am not at all sure how to solve this problem efficiently, sorry. I didn't read carefully your problem description at first. Our nonlinear integer solvers do not allow equality constraints, so while you can represent equality constraints as two inequalities, I doubt that the solvers would perform well.
I hope that someone else has better ideas for you.
I could imagine that a greedy search would give a bound that might be not too bad, but this would not be optimal, and would not generalize to an iterative algorithm.
Alan Weiss
MATLAB mathematical toolbox documentation
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2020-7-30
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