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| HAL : hal-00421757, version 1 |
| DOI : 10.1007/s10107-009-0281-x |
| Fiche détaillée |  Récupérer au format |
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| Mathematical Programming, Series A (2009) On line first |
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| On the Relative Strength of Split, Triangle and Quadrilateral Cuts |
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| Amitabh Basu 1Pierre Bonami 2 |
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| (23/04/2009) |
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| Integer programs defined by two equations with two free integer variables and nonnegative continuous variables have three types of nontrivial facets: split, triangle or quadrilateral inequalities. In this paper, we compare the strength of these three families of inequalities. In particular we study how well each family approximates the integer hull. We show that, in a well defined sense, triangle inequalities provide a good approximation of the integer hull. The same statement holds for quadrilateral inequalities. On the other hand, the approximation produced by split inequalities may be arbitrarily bad. |
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| 1 : | Tepper School of Business |
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Carnegie Mellon University |
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| 2 : | Laboratoire d'informatique Fondamentale de Marseille (LIF) |
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CNRS : UMR6166 – Université de la Méditerranée - Aix-Marseille II – Université de Provence - Aix-Marseille I |
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| Domaine | : | Informatique/Recherche opérationnelle Mathématiques/Optimisation et contrôle |
| hal-00421757, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00421757 | |
| oai:hal.archives-ouvertes.fr:hal-00421757 | |
| Contributeur : Pierre Bonami | |
| Soumis le : Samedi 3 Octobre 2009, 12:55:14 | |
| Dernière modification le : Samedi 3 Octobre 2009, 12:55:14 | |
