This paper addresses the globally optimal solution of the network-constrained unit commitment (NCUC) problem incorporating a nonlinear alternating current (AC) model of the transmission network. We formulate the NCUC as a mixed-integer quadratically constrained quadratic programming (MIQCQP) problem. A global optimization algorithm is developed based on a multi-tree approach that iterates betwe...

In this paper, we examine a mixed integer linear programming (MILP) reformulation for mixed integer bilinear problems where each bilinear term involves the product of a nonnegative integer variable and a nonnegative continuous variable. This reformulation is obtained by first replacing a general integer variable with its binary expansion and then using McCormick envelopes to linearize the resul...

This paper presents a review of past and present results approaches in the area motion planning using MIP (Mixed-integer Programming). Although early 2000s was still seen with reluctance as method for solving planning-related problems, nowadays, due to increases computational power theoretical advances, its extensive modeling capabilities versatility are coming fore enjoy increased application ...