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On the Facets of Mixed Integer Programs with Two Integer Variables and Two Constraints

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LATIN 2008: Theoretical Informatics (LATIN 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4957))

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Abstract

In this paper we consider an infinite relaxation of the mixed integer linear program with two integer variables and two constraints, and we give a complete characterization of its facets. We then derive an analogous characterization of the facets of the underlying finite integer program.

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Author information

Authors and Affiliations

  1. Tepper School of Business, Carnegie Mellon University, Pittsburgh, PA 15213, USA LIF, Université d’ Aix-Marseille, Faculté des Sciences de Luminy, France

    Gérard Cornuéjols

  2. Tepper School of Business, Carnegie Mellon University, Pittsburgh, PA 15213, USA

    François Margot

Authors
  1. Gérard Cornuéjols
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  2. François Margot
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Editor information

Eduardo Sany Laber Claudson Bornstein Loana Tito Nogueira Luerbio Faria

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Cornuéjols, G., Margot, F. (2008). On the Facets of Mixed Integer Programs with Two Integer Variables and Two Constraints. In: Laber, E.S., Bornstein, C., Nogueira, L.T., Faria, L. (eds) LATIN 2008: Theoretical Informatics. LATIN 2008. Lecture Notes in Computer Science, vol 4957. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78773-0_28

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  • DOI: https://doi.org/10.1007/978-3-540-78773-0_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-78772-3

  • Online ISBN: 978-3-540-78773-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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