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Constrained infinite group relaxations of MIPs

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  • DEY, Santanu S.

    () (Université catholique de Louvain (UCL). Center for Operations Research and Econometrics (CORE))

  • WOLSEY, Laurence A.

    () (Université catholique de Louvain (UCL). Center for Operations Research and Econometrics (CORE))

Abstract

Recently minimal and extreme inequalities for continuous group relaxations of general mixed integer sets have been characterized. In this paper, we consider a stronger relaxation of general mixed integer sets by allowing constraints, such as bounds, on the free integer variables in the continuous group relaxation. We generalize a number of results for the continuous infinite group relaxation to this stronger relaxation and characterize the extreme inequalities when there are two integer variables.

Suggested Citation

  • DEY, Santanu S. & WOLSEY, Laurence A., 2009. "Constrained infinite group relaxations of MIPs," CORE Discussion Papers 2009033, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvco:2009033
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