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On solving the multi-period single-sourcing problem under uncertainty

Author

Listed:
  • A. Alonso-Ayuso
  • L. Escudero
  • C. Pizarro
  • H. Romeijn
  • D. Morales

Abstract

We present a framework for solving the strategic problem of assigning retailers to facilities in a multi-period single-sourcing product environment under uncertainty in the demand from the retailers and the cost of production, inventory holding, backlogging and distribution of the product. By considering a splitting variable mathematical representation of the Deterministic Equivalent Model, we specialize the so-called Branch-and-Fix Coordination algorithmic framework. It exploits the structure of the model and, specifically, the non-anticipativity constraints for the assignment variables. The algorithm uses the Twin Node Family (TNF) concept. Our procedure is specifically designed for coordinating the selection of the branching TNF and the branching S3 set, such that the non-anticipativity constraints are satisfied. Some computational experience is reported. Copyright Springer-Verlag Berlin/Heidelberg 2006

Suggested Citation

  • A. Alonso-Ayuso & L. Escudero & C. Pizarro & H. Romeijn & D. Morales, 2006. "On solving the multi-period single-sourcing problem under uncertainty," Computational Management Science, Springer, vol. 3(1), pages 29-53, January.
    • Handle: RePEc:spr:comgts:v:3:y:2006:i:1:p:29-53
    DOI: 10.1007/s10287-005-0043-z
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    Citations

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    Cited by:

    1. Laureano Escudero, 2009. "On a mixture of the fix-and-relax coordination and Lagrangian substitution schemes for multistage stochastic mixed integer programming," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 17(1), pages 5-29, July.
    2. A. Alonso-Ayuso & L. Escudero & C. Pizarro, 2009. "On SIP algorithms for minimizing the mean-risk function in the multi-period single-source problem under uncertainty," Annals of Operations Research, Springer, vol. 166(1), pages 223-242, February.
    3. Kristin Uggen & Marte Fodstad & Vibeke Nørstebø, 2013. "Using and extending fix-and-relax to solve maritime inventory routing problems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 21(2), pages 355-377, July.

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