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Designing Private Line Networks - Polyhedral Analysis and Computation

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  • BROCKMÜLLER, Beate

    (BASF, Germany)

  • GÜNLÜCK, Oktay

    (Cornell University)

  • WOLSEY, Laurence A.

    (Center for Operations Research and Econometrics (CORE), Université catholique de Louvain (UCL), Louvain la Neuve, Belgium)

Abstract

We study a capacitated network design problem arising in the design of private line networks. Given a complete graph, a subset of its node set (the "hub" set), and point-to-point traffic demands, the objective is to install capacity on the edges (using several batch sizes and nonlinear costs), and route traffic in the resulting capacitated network, so that 1) all the demand between a pair of nodes is routed along a single path, and 2) the demand is either sent directly from source to sink, or via a number of hub nodes. We first formulate an initial integer program, and various approximations to it. Valid inequalities are then derived for a special knapsack problem involving both integer and 0-1 variables arising from the capacity constraints on an edge. These and related inequalities are then used to strengthen the formulations. Computational results with branch-and-bound and branch-and-cut are presented.

Suggested Citation

  • BROCKMÜLLER, Beate & GÜNLÜCK, Oktay & WOLSEY, Laurence A., 1996. "Designing Private Line Networks - Polyhedral Analysis and Computation," LIDAM Discussion Papers CORE 1996047, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:1996047
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    File URL: https://sites.uclouvain.be/core/publications/coredp/coredp1996.html
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