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help with the log of a mixed-integer quadratically contrained problem

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  • Jaromił Najman
    • Gurobi Staff Gurobi Staff

    Hi Alice,

    Gurobi will use IP to solve your model if your model is convex and has no discrete variables.

    If you have to set the NonConvex parameter to 2 then Gurobi will most likely use an OA approach, i.e, it will construct a linear relaxation of the model, add outer approximation cuts and solve each node using the Simplex algorithm. This equals setting the parameter MIQCPMethod=1.

    It is also possible that Gurobi decides that it is better to solve each node as a continuous convex quadratic relaxation and will use IP or QP Simplex in each node. It is not possible to retrieve the information whether IP or QP Simplex has been used. This equals setting the parameter MIQCPMethod=0.

    If you don't set the parameter explicitly, it is not possible to see which approach is used. It is also possible that Gurobi dynamically adjusts the strategy during the optimization.

    Best regards, 
    Jaromił

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