Add support for solving MIQCQP problems - #20
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Since MP-Opt-Model 5.0, functionality for handling quadratic constraints has been available, enabling Quadratically-Constrained Quadratic Programs (QCQP) to be solved. However, binary and integer variables were not supported in that context.
This PR contributes an initial implementation for handling Mixed-Integer QCQP (MIQCQP) problems. The main functions added are:
miqcqps_master(): the main wrapper function for solving MIQCQP problems based on various solvers. It handles options for relaxing and fixing integer variables.miqcqps_gurobi: the interface for solving MIQCQP based on Gurobi solver.t_miqcqps_master(),t_om_solve_miqcqps(), andt_mm_solve_miqcqpstest the functions over four cases: convex and nonconvex MIQP, and convex and nonconvex MIQCQPThe base classes
opt_model()andsolve()were modified to enable the handling of MIQCQP problem types viaopt_model.solve()andmp.opt_model.solve(), respectively.The current implementation supports both convex and nonconvex MIQCQPs via Gurobi. Interfaces for CPLEX and MOSEK (for convex MIQCQPs) are planned as follow-up work.