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Estimation of average backorders for an assemble‐to‐order system with random batch demands through extreme statistics

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  • Yingdong Lu

Abstract

We investigate inventory management for a large‐scale multi‐product, multi‐component Assemble‐to‐Order system with general random batch demands. Results from extreme statistics theory are applied in developing approximation schemes for a widely used performance measure, customer backorders. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2007

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  • Yingdong Lu, 2007. "Estimation of average backorders for an assemble‐to‐order system with random batch demands through extreme statistics," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(1), pages 33-45, February.
    • Handle: RePEc:wly:navres:v:54:y:2007:i:1:p:33-45
    DOI: 10.1002/nav.20174
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    References listed on IDEAS

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    1. Paul Glasserman & Yashan Wang, 1998. "Leadtime-Inventory Trade-Offs in Assemble-to-Order Systems," Operations Research, INFORMS, vol. 46(6), pages 858-871, December.
    2. Alan J. Kaplan, 1971. "Computing Expected Values of Customer Requests Backordered," Management Science, INFORMS, vol. 17(9), pages 647-651, May.
    3. Warren H. Hausman, 1969. "Minimizing Customer Line Items Backordered in Inventory Control," Management Science, INFORMS, vol. 15(12), pages 628-634, August.
    4. Yingdong Lu & Jing-Sheng Song & David D. Yao, 2003. "Order Fill Rate, Leadtime Variability, and Advance Demand Information in an Assemble-to-Order System," Operations Research, INFORMS, vol. 51(2), pages 292-308, April.
    5. Paul Glasserman, 1997. "Bounds and Asymptotics for Planning Critical Safety Stocks," Operations Research, INFORMS, vol. 45(2), pages 244-257, April.
    6. Jing-Sheng Song & David D. Yao, 2002. "Performance Analysis and Optimization of Assemble-to-Order Systems with Random Lead Times," Operations Research, INFORMS, vol. 50(5), pages 889-903, October.
    7. Yalçin Akçay & Susan H. Xu, 2004. "Joint Inventory Replenishment and Component Allocation Optimization in an Assemble-to-Order System," Management Science, INFORMS, vol. 50(1), pages 99-116, January.
    8. Alex X. Zhang, 1997. "Demand Fulfillment Rates In An Assembleto‐ Order System With Multiple Products And Dependent Demands," Production and Operations Management, Production and Operations Management Society, vol. 6(3), pages 309-324, September.
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    Cited by:

    1. Yonit Barron, 2023. "Integrating Replenishment Policy and Maintenance Services in a Stochastic Inventory System with Bilateral Movements," Mathematics, MDPI, vol. 11(4), pages 1-35, February.
    2. Walid W. Nasr, 2022. "Inventory systems with stochastic and batch demand: computational approaches," Annals of Operations Research, Springer, vol. 309(1), pages 163-187, February.

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