Multiobjective optimization with polygon boundary

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neil vaz
neil vaz 2025-1-22
评论： Walter Roberson 2025-1-25
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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回答（2 个）

Matt J
Matt J 2025-1-22
Use vert2lcon to find the inequalities for the constrained region,
https://www.mathworks.com/matlabcentral/fileexchange/30892-analyze-n-dimensional-convex-polyhedra
Walter Roberson
Walter Roberson 2025-1-22
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)
  2 个评论
neil vaz
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
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!)

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