Multiobjective optimization with polygon boundary

Question

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I have a fixed designed space. I have the k values of conhull. How do I implement this boundary for the multiobjective optimization problem?

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显示 -2更早的评论隐藏 -2更早的评论

Answer 1

Matt J 2025-1-22

1 个投票

Use vert2lcon to find the inequalities for the constrained region,

Answer 2

Walter Roberson 2025-1-22

0 个投票

convex hulls can always be represented as a series of linear inequalities, so you would use the "A" and "b" matrices

A = [....]
b = [...]
sol = gamultiobj(FUNCTION, num_parameters, A, b)

neil vaz 2025-1-25

I have the hull points in three dimensions. So, should I be adding the x and y axis in A = [..] and z in b = [...] ?

Walter Roberson 2025-1-25

The contribution mentioned by @Matt J looks very useful for constructing the appropriate matrices.

(I notice that Matt J wrote the contribution!)