IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v190y2008i2p412-420.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377-2217(07)00587-5
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Dimitris J. Bertsimas, 1992. "A Vehicle Routing Problem with Stochastic Demand," Operations Research, INFORMS, vol. 40(3), pages 574-585, June.
    2. 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.
    3. Lawrence D. Burns & Randolph W. Hall & Dennis E. Blumenfeld & Carlos F. Daganzo, 1985. "Distribution Strategies that Minimize Transportation and Inventory Costs," Operations Research, INFORMS, vol. 33(3), pages 469-490, June.
    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.
    5. Martin I. Reiman & Rodrigo Rubio & Lawrence M. Wein, 1999. "Heavy Traffic Analysis of the Dynamic Stochastic Inventory-Routing Problem," Transportation Science, INFORMS, vol. 33(4), pages 361-380, November.
    6. 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.
    7. S. Anily & A. Federgruen, 1990. "One Warehouse Multiple Retailer Systems with Vehicle Routing Costs," Management Science, INFORMS, vol. 36(1), pages 92-114, January.
    8. Anton J. Kleywegt & Vijay S. Nori & Martin W. P. Savelsbergh, 2004. "Dynamic Programming Approximations for a Stochastic Inventory Routing Problem," Transportation Science, INFORMS, vol. 38(1), pages 42-70, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. Hoque, M.A., 2011. "Generalized single-vendor multi-buyer integrated inventory supply chain models with a better synchronization," International Journal of Production Economics, Elsevier, vol. 131(2), pages 463-472, June.
    3. Niakan, Farzad & Rahimi, Mohammad, 2015. "A multi-objective healthcare inventory routing problem; a fuzzy possibilistic approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 80(C), pages 74-94.
    4. 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.
    5. Yan, Nina & Zhang, Yaping & Xu, Xun & Gao, Yongling, 2021. "Online finance with dual channels and bidirectional free-riding effect," International Journal of Production Economics, Elsevier, vol. 231(C).
    6. 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.
    7. 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.
    8. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Anton J. Kleywegt & Vijay S. Nori & Martin W. P. Savelsbergh, 2002. "The Stochastic Inventory Routing Problem with Direct Deliveries," Transportation Science, INFORMS, vol. 36(1), pages 94-118, February.
    2. Anton J. Kleywegt & Vijay S. Nori & Martin W. P. Savelsbergh, 2004. "Dynamic Programming Approximations for a Stochastic Inventory Routing Problem," Transportation Science, INFORMS, vol. 38(1), pages 42-70, February.
    3. Mosca, Alyssa & Vidyarthi, Navneet & Satir, Ahmet, 2019. "Integrated transportation – inventory models: A review," Operations Research Perspectives, Elsevier, vol. 6(C).
    4. Luca Bertazzi, 2008. "Analysis of Direct Shipping Policies in an Inventory-Routing Problem with Discrete Shipping Times," Management Science, INFORMS, vol. 54(4), pages 748-762, April.
    5. 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.
    6. Song, Ruidian & Zhao, Lei & Van Woensel, Tom & Fransoo, Jan C., 2019. "Coordinated delivery in urban retail," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 126(C), pages 122-148.
    7. Yves Crama & Mahmood Rezaei & Martin Savelsbergh & Tom Van Woensel, 2018. "Stochastic Inventory Routing for Perishable Products," Transportation Science, INFORMS, vol. 52(3), pages 526-546, June.
    8. Leandro C. Coelho & Jean-François Cordeau & Gilbert Laporte, 2014. "Thirty Years of Inventory Routing," Transportation Science, INFORMS, vol. 48(1), pages 1-19, February.
    9. Oğuz Solyalı & Haldun Süral, 2011. "A Branch-and-Cut Algorithm Using a Strong Formulation and an A Priori Tour-Based Heuristic for an Inventory-Routing Problem," Transportation Science, INFORMS, vol. 45(3), pages 335-345, August.
    10. Sonntag, Danja R. & Schrotenboer, Albert H. & Kiesmüller, Gudrun P., 2023. "Stochastic inventory routing with time-based shipment consolidation," European Journal of Operational Research, Elsevier, vol. 306(3), pages 1186-1201.
    11. 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.
    12. Wei Huang & H. Edwin Romeijn & Joseph Geunes, 2005. "The continuous‐time single‐sourcing problem with capacity expansion opportunities," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(3), pages 193-211, April.
    13. Oğuz Solyalı & Jean-François Cordeau & Gilbert Laporte, 2012. "Robust Inventory Routing Under Demand Uncertainty," Transportation Science, INFORMS, vol. 46(3), pages 327-340, August.
    14. Jaeheon Jung & Kamlesh Mathur, 2007. "An Efficient Heuristic Algorithm for a Two-Echelon Joint Inventory and Routing Problem," Transportation Science, INFORMS, vol. 41(1), pages 55-73, February.
    15. Huang, H. C. & Chew, E. P. & Goh, K. H., 2005. "A two-echelon inventory system with transportation capacity constraint," European Journal of Operational Research, Elsevier, vol. 167(1), pages 129-143, November.
    16. Vishal Gaur & Marshall L. Fisher, 2004. "A Periodic Inventory Routing Problem at a Supermarket Chain," Operations Research, INFORMS, vol. 52(6), pages 813-822, December.
    17. Bertazzi, Luca & Chua, Geoffrey A. & Laganà, Demetrio & Paradiso, Rosario, 2022. "Analysis of effective sets of routes for the split-delivery periodic inventory routing problem," European Journal of Operational Research, Elsevier, vol. 298(2), pages 463-477.
    18. Paweł Hanczar, 2014. "Solving IRP using location based heuristics," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 24(2), pages 81-96.
    19. Bertazzi, Luca & Speranza, Maria Grazia, 2005. "Improved rounding procedures for the discrete version of the capacitated EOQ problem," European Journal of Operational Research, Elsevier, vol. 166(1), pages 25-34, October.
    20. Larsen, Christian & Turkensteen, Marcel, 2014. "A vendor managed inventory model using continuous approximations for route length estimates and Markov chain modeling for cost estimates," International Journal of Production Economics, Elsevier, vol. 157(C), pages 120-132.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:190:y:2008:i:2:p:412-420. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.