IDEAS home Printed from https://ideas.repec.org/a/pal/jorsoc/v61y2010i1d10.1057_jors.2008.150.html
   My bibliography  Save this article

A normal approximation model for safety stock optimization in a two-echelon distribution system

Author

Listed:
  • B Desmet

    (Ghent University
    MÖBIUS Business Redesign)

  • E-H Aghezzaf

    (Ghent University)

  • H Vanmaele

    (Ghent University
    MÖBIUS Business Redesign)

Abstract

This paper presents an approximation model for the retailer replenishment lead-times in a two-echelon distribution system, and discusses its implementation for safety stock optimization in a one-warehouse and N-identical retailers system. The model assumes normality of demand and nominal lead times. It takes into account not only the averages of these parameters but also their variances. This approximation model is first tested on a two-echelon, one-warehouse and N-identical retailers system using discrete event simulation. It is then applied to optimize the safety stock in a two-echelon distribution system of a European market leader in the production and distribution of air conditioning equipment. Results of this implementation are analysed and discussed in detail.

Suggested Citation

  • B Desmet & E-H Aghezzaf & H Vanmaele, 2010. "A normal approximation model for safety stock optimization in a two-echelon distribution system," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(1), pages 156-163, January.
    • Handle: RePEc:pal:jorsoc:v:61:y:2010:i:1:d:10.1057_jors.2008.150
    DOI: 10.1057/jors.2008.150
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1057/jors.2008.150
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1057/jors.2008.150?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
    ---><---

    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. Hau L. Lee & Corey Billington, 1993. "Material Management in Decentralized Supply Chains," Operations Research, INFORMS, vol. 41(5), pages 835-847, October.
    2. Andrew J. Clark & Herbert Scarf, 2004. "Optimal Policies for a Multi-Echelon Inventory Problem," Management Science, INFORMS, vol. 50(12_supple), pages 1782-1790, December.
    3. Craig C. Sherbrooke, 1968. "Metric: A Multi-Echelon Technique for Recoverable Item Control," Operations Research, INFORMS, vol. 16(1), pages 122-141, February.
    4. Frank Chen & Zvi Drezner & Jennifer K. Ryan & David Simchi-Levi, 2000. "Quantifying the Bullwhip Effect in a Simple Supply Chain: The Impact of Forecasting, Lead Times, and Information," Management Science, INFORMS, vol. 46(3), pages 436-443, March.
    5. Stephen C. Graves & Sean P. Willems, 2000. "Optimizing Strategic Safety Stock Placement in Supply Chains," Manufacturing & Service Operations Management, INFORMS, vol. 2(1), pages 68-83, June.
    6. Kenneth F. Simpson, 1958. "In-Process Inventories," Operations Research, INFORMS, vol. 6(6), pages 863-873, December.
    7. Leroy B. Schwarz & Bryan L. Deuermeyer & Ralph D. Badinelli, 1985. "Fill-Rate Optimization in a One-Warehouse N-Identical Retailer Distribution System," Management Science, INFORMS, vol. 31(4), pages 488-498, April.
    8. Y Feng & S Viswanathan, 2007. "Impact of demand uncertainty on coordinating supply chain inventories through common replenishment epochs," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(7), pages 964-971, July.
    9. Ramesh Bollapragada & Uday S. Rao & Jun Zhang, 2004. "Managing Inventory and Supply Performance in Assembly Systems with Random Supply Capacity and Demand," Management Science, INFORMS, vol. 50(12), pages 1729-1743, December.
    10. Markus Ettl & Gerald E. Feigin & Grace Y. Lin & David D. Yao, 2000. "A Supply Network Model with Base-Stock Control and Service Requirements," Operations Research, INFORMS, vol. 48(2), pages 216-232, April.
    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. Noordhoek, Marije & Dullaert, Wout & Lai, David S.W. & de Leeuw, Sander, 2018. "A simulation–optimization approach for a service-constrained multi-echelon distribution network," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 114(C), pages 292-311.
    2. Barros, Júlio & Cortez, Paulo & Carvalho, M. Sameiro, 2021. "A systematic literature review about dimensioning safety stock under uncertainties and risks in the procurement process," Operations Research Perspectives, Elsevier, vol. 8(C).

    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. de Kok, Ton & Grob, Christopher & Laumanns, Marco & Minner, Stefan & Rambau, Jörg & Schade, Konrad, 2018. "A typology and literature review on stochastic multi-echelon inventory models," European Journal of Operational Research, Elsevier, vol. 269(3), pages 955-983.
    2. David Simchi-Levi & Yao Zhao, 2005. "Safety Stock Positioning in Supply Chains with Stochastic Lead Times," Manufacturing & Service Operations Management, INFORMS, vol. 7(4), pages 295-318, December.
    3. Salal Humair & Sean P. Willems, 2006. "Optimizing Strategic Safety Stock Placement in Supply Chains with Clusters of Commonality," Operations Research, INFORMS, vol. 54(4), pages 725-742, August.
    4. Kevin H. Shang & Jing-Sheng Song, 2006. "A Closed-Form Approximation for Serial Inventory Systems and Its Application to System Design," Manufacturing & Service Operations Management, INFORMS, vol. 8(4), pages 394-406, September.
    5. Eruguz, Ayse Sena & Sahin, Evren & Jemai, Zied & Dallery, Yves, 2016. "A comprehensive survey of guaranteed-service models for multi-echelon inventory optimization," International Journal of Production Economics, Elsevier, vol. 172(C), pages 110-125.
    6. Ramesh Bollapragada & Uday S. Rao & Jun Zhang, 2004. "Managing Inventory and Supply Performance in Assembly Systems with Random Supply Capacity and Demand," Management Science, INFORMS, vol. 50(12), pages 1729-1743, December.
    7. Liming Liu & Xiaoming Liu & David D. Yao, 2004. "Analysis and Optimization of a Multistage Inventory-Queue System," Management Science, INFORMS, vol. 50(3), pages 365-380, March.
    8. Noordhoek, Marije & Dullaert, Wout & Lai, David S.W. & de Leeuw, Sander, 2018. "A simulation–optimization approach for a service-constrained multi-echelon distribution network," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 114(C), pages 292-311.
    9. Barnes-Schuster, Dawn & Bassok, Yehuda & Anupindi, Ravi, 2006. "Optimizing delivery lead time/inventory placement in a two-stage production/distribution system," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1664-1684, November.
    10. Jörg Rambau & Konrad Schade, 2014. "The stochastic guaranteed service model with recourse for multi-echelon warehouse management," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 79(3), pages 293-326, June.
    11. Vanteddu, Gangaraju & Chinnam, Ratna Babu & Gushikin, Oleg, 2011. "Supply chain focus dependent supplier selection problem," International Journal of Production Economics, Elsevier, vol. 129(1), pages 204-216, January.
    12. Yossi Aviv, 2007. "On the Benefits of Collaborative Forecasting Partnerships Between Retailers and Manufacturers," Management Science, INFORMS, vol. 53(5), pages 777-794, May.
    13. Kaminsky, Philip & Kaya, Onur, 2008. "Inventory positioning, scheduling and lead-time quotation in supply chains," International Journal of Production Economics, Elsevier, vol. 114(1), pages 276-293, July.
    14. Dong, Ming & Frank Chen, F., 2005. "Performance modeling and analysis of integrated logistic chains: An analytic framework," European Journal of Operational Research, Elsevier, vol. 162(1), pages 83-98, April.
    15. Tan Wang & L. Jeff Hong, 2023. "Large-Scale Inventory Optimization: A Recurrent Neural Networks–Inspired Simulation Approach," INFORMS Journal on Computing, INFORMS, vol. 35(1), pages 196-215, January.
    16. Andersson, Jonas & Marklund, Johan, 2000. "Decentralized inventory control in a two-level distribution system," European Journal of Operational Research, Elsevier, vol. 127(3), pages 483-506, December.
    17. Steffen T. Klosterhalfen & Stefan Minner & Sean P. Willems, 2014. "Strategic Safety Stock Placement in Supply Networks with Static Dual Supply," Manufacturing & Service Operations Management, INFORMS, vol. 16(2), pages 204-219, May.
    18. Yazdani, Majid & Aouam, Tarik, 2023. "Shipment planning and safety stock placement in maritime supply chains with stochastic demand and transportation times," International Journal of Production Economics, Elsevier, vol. 263(C).
    19. John M. Bossert & Sean P. Willems, 2007. "A Periodic-Review Modeling Approach for Guaranteed Service Supply Chains," Interfaces, INFORMS, vol. 37(5), pages 420-436, October.
    20. Daniel, J. Sudhir Ryan & Rajendran, Chandrasekharan, 2006. "Heuristic approaches to determine base-stock levels in a serial supply chain with a single objective and with multiple objectives," European Journal of Operational Research, Elsevier, vol. 175(1), pages 566-592, November.

    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:pal:jorsoc:v:61:y:2010:i:1:d:10.1057_jors.2008.150. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.palgrave-journals.com/ .

    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.