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Lifted Euclidean inequalities for the integer single node flow set with upper bounds

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  • Agra, Agostinho
  • Constantino, Miguel Fragoso

Abstract

In this paper we discuss the polyhedral structure of the integer single node flow set with two possible values for the upper bounds on the arc flows. Such mixed integer sets arise as substructures in complex mixed integer programs for real application problems.

Suggested Citation

  • Agra, Agostinho & Constantino, Miguel Fragoso, 2016. "Lifted Euclidean inequalities for the integer single node flow set with upper bounds," European Journal of Operational Research, Elsevier, vol. 251(1), pages 53-63.
    • Handle: RePEc:eee:ejores:v:251:y:2016:i:1:p:53-63
    DOI: 10.1016/j.ejor.2015.10.057
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    References listed on IDEAS

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    1. Miguel Constantino, 1998. "Lower Bounds in Lot-Sizing Models: A Polyhedral Study," Mathematics of Operations Research, INFORMS, vol. 23(1), pages 101-118, February.
    2. LOUVEAUX, Quentin & WOLSEY, Laurence A., 2003. "Lifting, superadditivity, mixed integer rounding and single node flow sets revisited," LIDAM Reprints CORE 1659, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. M. W. Padberg & T. J. Van Roy & L. A. Wolsey, 1985. "Valid Linear Inequalities for Fixed Charge Problems," Operations Research, INFORMS, vol. 33(4), pages 842-861, August.
    4. LOUVEAUX, Quentin & WOLSEY, Laurence, 2003. "Lifting, superadditivity, mixed integer rounding and single node flow sets revisited," LIDAM Discussion Papers CORE 2003001, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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