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[BEL09a] Convex reformulations for integer quadratic programsConférence Internationale avec comité de lecture : 20th International Symposium of Mathematical programming (ISMP), August 2009, pp.115, Chicago, USA,Mots clés: -General integer programming, Quadratic programming, Convex reformulation, Semi-definite programming, Experiments
Résumé:
-Let (QP) be an integer 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, and we use a Mixed Integer Quadratic Programming solver. This reformulation, called IQCR, is optimal in a certain sense from the continuous relaxation bound point of view. It is deduced from the solution of a SDP relaxation of (QP). Computational experiments are reported.
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