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Laboratoire d'informatique fondamentale de Marseille UMR 6166 - CNRS, Université de la Méditerranée, Université de Provence |
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Laboratoire d'informatique fondamentale de Marseille UMR 6166 - CNRS, Université de la Méditerranée, Université de Provence |
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| HAL: hal-00421757, version 1 |
| DOI: 10.1007/s10107-009-0281-x |
| Detailed view |  Export this paper |
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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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| (2009-04-23) |
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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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| Subject | : | Computer Science/Operations Research Mathematics/Optimization and Control |
| hal-00421757, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00421757 | |
| oai:hal.archives-ouvertes.fr:hal-00421757 | |
| From: Pierre Bonami | |
| Submitted on: Saturday, 3 October 2009 12:55:14 | |
| Updated on: Saturday, 3 October 2009 12:55:14 | |
