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A Branch and Price Algorithm for the Multi-Period Single-Sourcing Problem

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Author Info

  • Richard Freling

    (Erasmus University Rotterdam and Ortec Consultants BV, Gouda)

  • H. Edwin Romeijn

    (University of Florida)

  • Dolores Romero Morales

    (Erasmus University Rotterdam)

  • Albert P.M. Wagelmans

    ()
    (Erasmus University Rotterdam)

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    Abstract

    In this paper we propose a Branch and Price algorithm for solving multi-periodsingle-sourcing problems. In particular, we generalize a Branch and Price algorithm thatwas developed for the Generalized Assignment Problem (GAP) to a class of convexassignment problems. We then identify an important subclass of problems, containing manyvariants of the multi-period single-sourcing problem (MPSSP), as well as variants of theGAP, for which we derive an efficient solution procedure for the pricing problem, acritical factor in the efficiency of the Branch and Price algorithm. We execute anextensive numerical comparison between the performances of the Branch and Price algorithmand the MIP solver of CPLEX for a particular variant of the MPSSP.

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    File URL: http://papers.tinbergen.nl/99092.pdf
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    Bibliographic Info

    Paper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 99-092/4.

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    Date of creation: 30 Nov 1999
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    Handle: RePEc:dgr:uvatin:19990092

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    Web page: http://www.tinbergen.nl

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    1. Fleischmann, Bernhard, 1993. "Designing distribution systems with transport economies of scale," European Journal of Operational Research, Elsevier, vol. 70(1), pages 31-42, October.
    2. Cattrysse, Dirk. G. & Salomon, Marc & Van Wassenhove, Luk N., 1994. "A set partitioning heuristic for the generalized assignment problem," European Journal of Operational Research, Elsevier, vol. 72(1), pages 167-174, January.
    3. Duran, F., 1987. "A large mixed integer production and distribution program," European Journal of Operational Research, Elsevier, vol. 28(2), pages 207-217, February.
    4. A. M. Geoffrion & G. W. Graves, 1974. "Multicommodity Distribution System Design by Benders Decomposition," Management Science, INFORMS, vol. 20(5), pages 822-844, January.
    5. repec:fth:erroem:9661/a is not listed on IDEAS
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    Cited by:
    1. Romeijn, H.E. & Romero Morales, D., 2000. "A Greedy Heuristic for a Three-Level Multi-Period Single-Sourcing Problem," ERIM Report Series Research in Management ERS-2000-04-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.

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