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A branch and price algorithm for the multi-period single-sourcing problem

Author

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  • Freling, R.
  • Romeijn, H.E.
  • Romero Morales, D.
  • Wagelmans, A.P.M.

Abstract

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

Suggested Citation

  • Freling, R. & Romeijn, H.E. & Romero Morales, D. & Wagelmans, A.P.M., 1999. "A branch and price algorithm for the multi-period single-sourcing problem," Econometric Institute Research Papers EI 9941-/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    • Handle: RePEc:ems:eureir:1615
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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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    Keywords

    integer programming; networks;

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