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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Richard Freling & H. Edwin Romeijn & Dolores Romero Morales & Albert P.M. Wagelmans, 1999. "A Branch and Price Algorithm for the Multi-Period Single-Sourcing Problem," Tinbergen Institute Discussion Papers 99-092/4, Tinbergen Institute.
    • Handle: RePEc:tin:wpaper:19990092
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    References 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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