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For a course at uni (am not a practitioner in this domain in any measurement) we used cvxpy (and there was cvxopt for the matlab inclined).

Are those within the ballpark of what you need to do?

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Am adding this response as both:

-1 Hey maybe you didn't know about this

-2 A question: Is CVXpy even in the same domain as those other tools listed here in the replies

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cvxpy is only for linear programming (LP), but does not support mixed-integer programming (MIP), so you can only use it for some problems.

Also, I think cvxpy might implement an interior point method, not a simplex method, so you don't get a "vertex solution", which often has some nice sparsity attributes.

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