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math.OC2025
Solving Sparse Mixed-Integer Quadratic Problems: Application to the Unit Commitment Problem with Optimal Power Flow
Ignacio Gómez-Casares, Pietro Belotti, Bissan Ghaddar +1
Mixed-Integer Quadratically Constrained Quadratic Programs (MIQCQP) arise in a variety of applications, particularly in energy, water, and gas systems, where discrete decisions int…
math.OC2023
Convex envelopes of bounded monomials on two-variable cones
Pietro Belotti
We consider an -variate monomial function that is restricted both in value by lower and upper bounds and in domain by two homogeneous linear inequalities. Such functions are bui…