Generating cutting planes for the semidefinite relaxation of quadratic programs

In this paper, we present a systematic approach based on a polynomial separation problem to compute such cuts. Then, we apply this technique to a well-known problem of energy management, i.e., the scheduling of the nuclear outages which is a combinatorial problem with quadratic objective and non-convex quadratic constraints. This leads to the identification of some relevant cutting planes for this problem, allowing an average enhancement of 25% of the semidefinite relaxation compared to the linear relaxation.