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On the Mixed Binary Representability of Ellipsoidal Regions

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Integer Programming and Combinatorial Optimization (IPCO 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9682))

Abstract

Representability results for mixed-integer linear systems play a fundamental role in optimization since they give geometric characterizations of the feasible sets that arise from mixed-integer linear programs. We consider a natural extension of mixed-integer linear systems obtained by adding just one ellipsoidal inequality. The set of points that can be described, possibly using additional variables, by these systems are called ellipsoidal mixed binary representable. In this work, we give geometric conditions that characterize ellipsoidal mixed binary representable sets.

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Author information

Authors and Affiliations

  1. Department of Industrial and Systems Engineering & Wisconsin Institute for Discovery, University of Wisconsin-Madison, Madison, WI, USA

    Alberto Del Pia

  2. Department of Mathematics, University of Wisconsin-Madison, Madison, WI, USA

    Jeffrey Poskin

Authors
  1. Alberto Del Pia
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  2. Jeffrey Poskin
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Corresponding author

Correspondence to Jeffrey Poskin .

Editor information

Editors and Affiliations

  1. Université de Liège, Liège, Belgium

    Quentin Louveaux

  2. Technische Universität Berlin, Berlin, Germany

    Martin Skutella

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Del Pia, A., Poskin, J. (2016). On the Mixed Binary Representability of Ellipsoidal Regions. In: Louveaux, Q., Skutella, M. (eds) Integer Programming and Combinatorial Optimization. IPCO 2016. Lecture Notes in Computer Science(), vol 9682. Springer, Cham. https://doi.org/10.1007/978-3-319-33461-5_18

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  • DOI: https://doi.org/10.1007/978-3-319-33461-5_18

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-33460-8

  • Online ISBN: 978-3-319-33461-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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