MINLP Strengthening for Separable Convex Quadratic Transportation-Cost UFL

In the context of a variation of the standard UFL (Uncapacitated Facility Location) problem, but with an objective function that is a separable convex quadratic function of the transportation costs, we present some techniques for improving relaxations of MINLP formulations. We use a disaggregation principal and a strategy of developing model-specific valid inequalities (some nonlinear), which enable us to significantly improve the quality of the NLP (Nonlinear Programming) relaxation of our MINLP model. Additionally, we describe some directions in which our methodology can be extended.

By: Oktay Günlük; Jon Lee; Robert Weismantel

Published in: RC24213 in 2007


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