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

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  • Li, Jing-An
  • Wu, Yue
  • Lai, Kin Keung
  • Liu, Ke

Abstract

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.

Suggested Citation

  • Li, Jing-An & Wu, Yue & Lai, Kin Keung & Liu, Ke, 2008. "Replenishment routing problems between a single supplier and multiple retailers with direct delivery," European Journal of Operational Research, Elsevier, vol. 190(2), pages 412-420, October.
    • Handle: RePEc:eee:ejores:v:190:y:2008:i:2:p:412-420
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    References listed on IDEAS

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    Cited by:

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    4. Jafarian, Ahmad & Asgari, Nasrin & Mohri, Seyed Sina & Fatemi-Sadr, Elham & Farahani, Reza Zanjirani, 2019. "The inventory-routing problem subject to vehicle failure," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 126(C), pages 254-294.
    5. Li, Shuqin & Jia, Shuai, 2019. "A Benders decomposition algorithm for the order fulfilment problem of an e-tailer with a self-owned logistics system," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 122(C), pages 463-480.
    6. Mohd Kamarul Irwan Abdul Rahim & El-Houssaine Aghezzaf & Veronique Limère & Birger Raa, 2016. "Analysing the effectiveness of vendor-managed inventory in a single-warehouse, multiple-retailer system," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(8), pages 1953-1965, June.
    7. Simon Emde & Shohre Zehtabian & Yann Disser, 2023. "Point-to-point and milk run delivery scheduling: models, complexity results, and algorithms based on Benders decomposition," Annals of Operations Research, Springer, vol. 322(1), pages 467-496, March.
    8. Hariga, Moncer & Hassini, Elkafi & Ben-Daya, Mohamed, 2014. "A note on generalized single-vendor multi-buyer integrated inventory supply chain models with better synchronization," International Journal of Production Economics, Elsevier, vol. 154(C), pages 313-316.

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