Convex reformulations for binary quadratic programs - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2009

Convex reformulations for binary quadratic programs

Résumé

-Let (QP) be a binary quadratic program that consists in minimizing a quadratic function subject to linear constraints. To solve (QP) we reformulate it into an equivalent program with a convex objective function. Our reformulation, that we call EQCR (Extended Quadratic Convex Reformulation), is optimal from the continuous relaxation bound point of view. We show that this best reformulation can be deduced from the solution of a semidefinite relaxation of (QP) and that EQCR outperforms QCR. We carry out computational experiments on Max-Cut and on the k-cluster problem.
Fichier non déposé

Dates et versions

hal-01125632 , version 1 (06-03-2015)

Identifiants

  • HAL Id : hal-01125632 , version 1

Citer

Alain Billionnet, Sourour Elloumi, Amélie Lambert. Convex reformulations for binary quadratic programs. EURO 2009, 23rd European Conference on Operational Research, Jul 2009, Bonn, Germany. pp.47. ⟨hal-01125632⟩

Collections

CNAM CEDRIC-CNAM
72 Consultations
0 Téléchargements

Partager

Gmail Facebook X LinkedIn More