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A linearization framework for unconstrained quadratic (0-1) problems
Authors:Serigne Gueye
Affiliation:a Université du Havre, Laboratoire de Mathématiques Appliquées du Havre, F-76058 Le Havre, France
b Université d’Avignon et des Pays de Vaucluse, Laboratoire d’Informatique d’Avignon, F-84911 Avignon, France
Abstract:In this paper, we are interested in linearization techniques for the exact solution of the Unconstrained Quadratic (0-1) Problem. Our purpose is to propose “economical” linear formulations. We first extend current techniques in a general linearization framework containing many other schemes and propose a new linear formulation. Numerical results comparing classical, Glover’s and the new linearization are reported.
Keywords:Quadratic (0-1) problems   Linearization techniques   Polytopes
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