IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v52y2005i6p513-526.html
   My bibliography  Save this article

A dynamic allocation heuristic for centralized safety stock

Author

Listed:
  • De‐bi Cao
  • Edward A. Silver

Abstract

An inventory system that consists of a depot (central warehouse) and retailers (regional warehouses) is considered. The system is replenished regularly on a fixed cycle by an outside supplier. Most of the stock is direct shipped to the retailer locations but some stock is sent to the central warehouse. At the beginning of any one of the periods during the cycle, the central stock can then be completely allocated out to the retailers. In this paper we propose a heuristic method to dynamically (as retailer inventory levels change with time) determine the appropriate period in which to do the allocation. As the optimal method is not tractable, the heuristic's performance is compared against two other approaches. One presets the allocation period, while the other provides a lower bound on the expected shortages of the optimal solution, obtained by assuming that we know ahead of time all of the demands, period by period, in the cycle. The results from extensive simulation experiments show that the dynamic heuristic significantly outperforms the “preset” approach and its performance is reasonably close to the lower bound. Moreover, the logic of the heuristic is appealing and the calculations, associated with using it, are easy to carry out. Sensitivities to various system parameters (such as the safety factor, coefficient of variation of demand, number of regional warehouses, external lead time, and the cycle length) are presented. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005.

Suggested Citation

  • 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.
  • Handle: RePEc:wly:navres:v:52:y:2005:i:6:p:513-526
    DOI: 10.1002/nav.20093
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/nav.20093
    Download Restriction: no

    File URL: https://libkey.io/10.1002/nav.20093?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. Lawrence W. Robinson, 1990. "Optimal and Approximate Policies in Multiperiod, Multilocation Inventory Models with Transshipments," Operations Research, INFORMS, vol. 38(2), pages 278-295, April.
    2. T. W. Archibald & S. A. E. Sassen & L. C. Thomas, 1997. "An Optimal Policy for a Two Depot Inventory Problem with Stock Transfer," Management Science, INFORMS, vol. 43(2), pages 173-183, February.
    3. George Tagaras & Morris A. Cohen, 1992. "Pooling in Two-Location Inventory Systems with Non-Negligible Replenishment Lead Times," Management Science, INFORMS, vol. 38(8), pages 1067-1083, August.
    4. Nesim Erkip & Warren H. Hausman & Steven Nahmias, 1990. "Optimal Centralized Ordering Policies in Multi-Echelon Inventory Systems with Correlated Demands," Management Science, INFORMS, vol. 36(3), pages 381-392, March.
    5. Peter L. Jackson & John A. Muckstadt, 1989. "Risk pooling in a two‐period, two‐echelon inventory stocking and allocation problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(1), pages 1-26, February.
    6. Leroy B. Schwarz, 1989. "A Model for Assessing the Value of Warehouse Risk-Pooling: Risk-Pooling Over Outside-Supplier Leadtimes," Management Science, INFORMS, vol. 35(7), pages 828-842, July.
    7. 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.
    8. 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.
    9. Yale T. Herer & Ayelet Rashit, 1999. "Lateral stock transshipments in a two‐location inventory system with fixed and joint replenishment costs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(5), pages 525-547, August.
    10. van der Heijden, M.C., 1997. "Supply rationing in multi-echelon divergent systems," European Journal of Operational Research, Elsevier, vol. 101(3), pages 532-549, September.
    11. Sven Axsäter, 1990. "Modelling Emergency Lateral Transshipments in Inventory Systems," Management Science, INFORMS, vol. 36(11), pages 1329-1338, November.
    12. H. Jönsson & E. A. Silver, 1987. "Analysis of a Two-Echelon Inventory Control System with Complete Redistribution," Management Science, INFORMS, vol. 33(2), pages 215-227, February.
    13. Edward J. McGavin & Leroy B. Schwarz & James E. Ward, 1993. "Two-Interval Inventory-Allocation Policies in a One-Warehouse N-Identical-Retailer Distribution System," Management Science, INFORMS, vol. 39(9), pages 1092-1107, September.
    14. Gary D. Eppen, 1979. "Note--Effects of Centralization on Expected Costs in a Multi-Location Newsboy Problem," Management Science, INFORMS, vol. 25(5), pages 498-501, May.
    15. 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.
    16. Hau L. Lee, 1987. "A Multi-Echelon Inventory Model for Repairable Items with Emergency Lateral Transshipments," Management Science, INFORMS, vol. 33(10), pages 1302-1316, October.
    17. Peter L. Jackson, 1988. "Stock Allocation in a Two-Echelon Distribution System Or "What to Do Until Your Ship Comes In"," Management Science, INFORMS, vol. 34(7), pages 880-895, July.
    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. 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. Tagaras, George, 1999. "Pooling in multi-location periodic inventory distribution systems," Omega, Elsevier, vol. 27(1), pages 39-59, February.
    3. Paterson, Colin & Kiesmüller, Gudrun & Teunter, Ruud & Glazebrook, Kevin, 2011. "Inventory models with lateral transshipments: A review," European Journal of Operational Research, Elsevier, vol. 210(2), pages 125-136, April.
    4. Seifert, Ralf W. & Thonemann, Ulrich W. & Sieke, Marcel A., 2006. "Integrating direct and indirect sales channels under decentralized decision-making," International Journal of Production Economics, Elsevier, vol. 103(1), pages 209-229, September.
    5. Xinxin Hu & Izak Duenyas & Roman Kapuscinski, 2008. "Optimal Joint Inventory and Transshipment Control Under Uncertain Capacity," Operations Research, INFORMS, vol. 56(4), pages 881-897, August.
    6. Tiacci, Lorenzo & Saetta, Stefano, 2011. "Reducing the mean supply delay of spare parts using lateral transshipments policies," International Journal of Production Economics, Elsevier, vol. 133(1), pages 182-191, September.
    7. Hu, Jason & Watson, Edward & Schneider, Helmut, 2005. "Approximate solutions for multi-location inventory systems with transshipments," International Journal of Production Economics, Elsevier, vol. 97(1), pages 31-43, July.
    8. Paterson, Colin & Teunter, Ruud & Glazebrook, Kevin, 2012. "Enhanced lateral transshipments in a multi-location inventory system," European Journal of Operational Research, Elsevier, vol. 221(2), pages 317-327.
    9. van der Heijden, Matthieu C., 1999. "Multi-echelon inventory control in divergent systems with shipping frequencies," European Journal of Operational Research, Elsevier, vol. 116(2), pages 331-351, July.
    10. Banerjee, Avijit & Burton, Jonathan & Banerjee, Snehamay, 2003. "A simulation study of lateral shipments in single supplier, multiple buyers supply chain networks," International Journal of Production Economics, Elsevier, vol. 81(1), pages 103-114, January.
    11. Xu, Kefeng & Evers, Philip T. & Fu, Michael C., 2003. "Estimating customer service in a two-location continuous review inventory model with emergency transshipments," European Journal of Operational Research, Elsevier, vol. 145(3), pages 569-584, March.
    12. Tang, Shao-Long & Yan, Hong, 2010. "Pre-distribution vs. post-distribution for cross-docking with transshipments," Omega, Elsevier, vol. 38(3-4), pages 192-202, June.
    13. Axsater, Sven, 2003. "Evaluation of unidirectional lateral transshipments and substitutions in inventory systems," European Journal of Operational Research, Elsevier, vol. 149(2), pages 438-447, September.
    14. Burton, Jonathan & Banerjee, Avijit, 2005. "Cost-parametric analysis of lateral transshipment policies in two-echelon supply chains," International Journal of Production Economics, Elsevier, vol. 93(1), pages 169-178, January.
    15. Minner, Stefan & Silver, Edward A. & Robb, David J., 2003. "An improved heuristic for deciding on emergency transshipments," European Journal of Operational Research, Elsevier, vol. 148(2), pages 384-400, July.
    16. 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.
    17. Johan Marklund & Kaj Rosling, 2012. "Lower Bounds and Heuristics for Supply Chain Stock Allocation," Operations Research, INFORMS, vol. 60(1), pages 92-105, February.
    18. Bhatnagar, Rohit & Lin, Bing, 2019. "The joint transshipment and production control policies for multi-location production/inventory systems," European Journal of Operational Research, Elsevier, vol. 275(3), pages 957-970.
    19. T W Archibald, 2007. "Modelling replenishment and transshipment decisions in periodic review multilocation inventory systems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(7), pages 948-956, July.
    20. Sven Axsäter & Johan Marklund & Edward A. Silver, 2002. "Heuristic Methods for Centralized Control of One-Warehouse, N-Retailer Inventory Systems," Manufacturing & Service Operations Management, INFORMS, vol. 4(1), pages 75-97, 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:52:y:2005:i:6:p:513-526. 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.