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I was wondering if it is possible to get the active constraints of a linear program from the Python API of Cplex? Or do I have to go through the constraints one by one and check if they bind with equality for the current solution?

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Just look at the basis status of the rows. Non-basic means binding.

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  • $\begingroup$ Thanks! I managed to find the method cplex.solution.basis.get_basis(). Should I use cplex.solution.basis.get_basis()[1], and those that are 1 correspond to active constraints? $\endgroup$
    – Elena
    Commented Jun 24, 2022 at 14:44
  • $\begingroup$ I agree that nonbasic implies binding, but what about slack variables that are basic but equal to zero? $\endgroup$
    – prubin
    Commented Jun 24, 2022 at 15:28
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    $\begingroup$ @prubin. Then use my favorite approach: do some hand-waving. My number two solution: define binding as being non-basic. Number three: assume non-degeneracy. Last resort: do more checking (basic rows only). $\endgroup$ Commented Jun 24, 2022 at 17:00
  • $\begingroup$ @ErwinKalvelagen I vote for your last resort. Re your favorite approach, hand-waving is legally reserved for academics. (I believe the EU has a law to that effect; in the US, it's just accepted practice.) $\endgroup$
    – prubin
    Commented Jun 24, 2022 at 17:45
  • $\begingroup$ @prubin I am usually way sloppier. I often just look at the dual. $\endgroup$ Commented Jun 24, 2022 at 20:15

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