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Replenishment routing problems between a single supplier and multiple retailers with direct delivery

  • Li, Jing-An
  • Wu, Yue
  • Lai, Kin Keung
  • Liu, Ke
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    We consider the replenishment routing problems of one supplier who can replenish only one of multiple retailers per period, while different retailers need different periodical replenishment. For simple cases satisfying certain conditions, we obtain the simple routing by which the supplier can replenish each retailer periodically so that shortage will not occur. For complicated cases, using number theory, especially the Chinese remainder theorem, we present an algorithm to calculate a feasible routing so that the supplier can replenish the selected retailers on the selected periods without shortages.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0377-2217(07)00587-5
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    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 190 (2008)
    Issue (Month): 2 (October)
    Pages: 412-420

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    Handle: RePEc:eee:ejores:v:190:y:2008:i:2:p:412-420
    Contact details of provider: Web page: http://www.elsevier.com/locate/eor

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    1. S. Anily & A. Federgruen, 1990. "One Warehouse Multiple Retailer Systems with Vehicle Routing Costs," Management Science, INFORMS, vol. 36(1), pages 92-114, January.
    2. Sila Çetinkaya & Chung-Yee Lee, 2000. "Stock Replenishment and Shipment Scheduling for Vendor-Managed Inventory Systems," Management Science, INFORMS, vol. 46(2), pages 217-232, February.
    3. Barnes-Schuster, Dawn & Bassok, Yehuda, 1997. "Direct shipping and the dynamic single-depot/multi-retailer inventory system," European Journal of Operational Research, Elsevier, vol. 101(3), pages 509-518, September.
    4. Guillermo Gallego & David Simchi-Levi, 1990. "On the Effectiveness of Direct Shipping Strategy for the One-Warehouse Multi-Retailer R-Systems," Management Science, INFORMS, vol. 36(2), pages 240-243, February.
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