IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v40y1993i2p245-253.html
   My bibliography  Save this article

Optimization of order‐up‐to‐s policies in two‐echelon inventory systems with periodic review

Author

Listed:
  • Sven Axsäter

Abstract

We consider an inventory system with one warehouse and N retailers. Transportation times are constant and the retailers face independent Poisson demand. Each facility applies a periodic review order‐up‐to‐S policy. In case of shortages at the warehouse, orders for individual units are filled in the same order as the original demand at the retailers, i.e., according to a so‐called virtual allocation scheme. Using that the considered policy is very similar to a continuous review one‐for‐one ordering policy, we are able to provide simple recursive procedures for exact evaluation of holding and shortage costs. © 1993 John Wiley & Sons, Inc.

Suggested Citation

  • Sven Axsäter, 1993. "Optimization of order‐up‐to‐s policies in two‐echelon inventory systems with periodic review," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(2), pages 245-253, March.
  • Handle: RePEc:wly:navres:v:40:y:1993:i:2:p:245-253
    DOI: 10.1002/1520-6750(199303)40:23.0.CO;2-M
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/1520-6750(199303)40:23.0.CO;2-M
    Download Restriction: no

    File URL: https://libkey.io/10.1002/1520-6750(199303)40:23.0.CO;2-M?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Awi Federgruen & Paul Zipkin, 1984. "Allocation policies and cost approximations for multilocation inventory systems," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 31(1), pages 97-129, March.
    2. Awi Federgruen & Paul Zipkin, 1984. "Computational Issues in an Infinite-Horizon, Multiechelon Inventory Model," Operations Research, INFORMS, vol. 32(4), pages 818-836, August.
    Full references (including those not matched with items on IDEAS)

    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. Huaxiao Shen & Tian Tian & Han Zhu, 2019. "A Two-Echelon Inventory System with a Minimum Order Quantity Requirement," Sustainability, MDPI, vol. 11(18), pages 1-22, September.
    2. Awi Federgruen & C. Daniel Guetta & Garud Iyengar, 2018. "Two‐echelon distribution systems with random demands and storage constraints," Naval Research Logistics (NRL), John Wiley & Sons, vol. 65(8), pages 594-618, December.
    3. Preil, Deniz & Krapp, Michael, 2022. "Bandit-based inventory optimisation: Reinforcement learning in multi-echelon supply chains," International Journal of Production Economics, Elsevier, vol. 252(C).
    4. Woonghee Tim Huh & Ganesh Janakiraman & Mahesh Nagarajan, 2016. "Capacitated Multiechelon Inventory Systems: Policies and Bounds," Manufacturing & Service Operations Management, INFORMS, vol. 18(4), pages 570-584, October.
    5. Fernando Bernstein & Awi Federgruen, 2003. "Pricing and Replenishment Strategies in a Distribution System with Competing Retailers," Operations Research, INFORMS, vol. 51(3), pages 409-426, June.
    6. Ioannis Ch. Paschalidis & Yong Liu, 2003. "Large Deviations-Based Asymptotics for Inventory Control in Supply Chains," Operations Research, INFORMS, vol. 51(3), pages 437-460, June.
    7. Gregory A. DeCroix, 2013. "Inventory Management for an Assembly System Subject to Supply Disruptions," Management Science, INFORMS, vol. 59(9), pages 2079-2092, September.
    8. Jordan Tong & Gregory DeCroix & Jing-Sheng Song, 2020. "Modeling Payment Timing in Multiechelon Inventory Systems with Applications to Supply Chain Coordination," Manufacturing & Service Operations Management, INFORMS, vol. 22(2), pages 346-363, March.
    9. Johan Marklund, 2011. "Inventory control in divergent supply chains with time‐based dispatching and shipment consolidation," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(1), pages 59-71, February.
    10. Gregory A. DeCroix, 2006. "Optimal Policy for a Multiechelon Inventory System with Remanufacturing," Operations Research, INFORMS, vol. 54(3), pages 532-543, June.
    11. Kevin H. Shang & Jing-Sheng Song, 2007. "Serial Supply Chains with Economies of Scale: Bounds and Approximations," Operations Research, INFORMS, vol. 55(5), pages 843-853, October.
    12. Yossi Aviv & Awi Federgruen, 2001. "Design for Postponement: A Comprehensive Characterization of Its Benefits Under Unknown Demand Distributions," Operations Research, INFORMS, vol. 49(4), pages 578-598, August.
    13. De‐bi Cao & Edward A. Silver, 2005. "A dynamic allocation heuristic for centralized safety stock," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(6), pages 513-526, September.
    14. Rodney P. Parker & Roman Kapuściński, 2011. "Managing a Noncooperative Supply Chain with Limited Capacity," Operations Research, INFORMS, vol. 59(4), pages 866-881, August.
    15. Dai, Bo & Chen, Haoxun & Li, Yuan & Zhang, Yidong & Wang, Xiaoqing & Deng, Yuming, 2023. "An alternating direction method of multipliers for optimizing (s, S) policies in a distribution system with joint replenishment volume constraints," Omega, Elsevier, vol. 116(C).
    16. Sandun C. Perera & Suresh P. Sethi, 2023. "A survey of stochastic inventory models with fixed costs: Optimality of (s, S) and (s, S)‐type policies—Discrete‐time case," Production and Operations Management, Production and Operations Management Society, vol. 32(1), pages 131-153, January.
    17. Fuqiang Zhang, 2010. "Procurement Mechanism Design in a Two-Echelon Inventory System with Price-Sensitive Demand," Manufacturing & Service Operations Management, INFORMS, vol. 12(4), pages 608-626, August.
    18. Warsing, Donald P. & Wangwatcharakul, Worawut & King, Russell E., 2019. "Computing base-stock levels for a two-stage supply chain with uncertain supply," Omega, Elsevier, vol. 89(C), pages 92-109.
    19. Gregory A. DeCroix & Paul H. Zipkin, 2005. "Inventory Management for an Assembly System with Product or Component Returns," Management Science, INFORMS, vol. 51(8), pages 1250-1265, August.
    20. Ralph D. Badinelli & Leroy B. Schwarz, 1988. "Backorders optimization in a one‐warehouse N‐identical retailer distribution system," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(5), pages 427-440, October.

    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:wly:navres:v:40:y:1993:i:2:p:245-253. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1520-6750 .

    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.