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Exact and Approximate Evaluation of Batch-Ordering Policies for Two-Level Inventory Systems

Author

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  • Sven Axsäter

    (Luleå University of Technology, Luleå, Sweden)

Abstract

We consider a two-level inventory system with one warehouse and N identical retailers. Lead times (transportation times) are constant and the retailers face independent Poisson demand. In a previous paper, we derived a recursive procedure for determining the policy costs for an average item in case of one-for-one replenishment policies. In this paper, we show how these results can be used for the exact or approximate evaluation of more general policies where both the retailers and the warehouse order in batches. We compare our methods to the method recently suggested by A. Svoronos and P. Zipkin.

Suggested Citation

  • Sven Axsäter, 1993. "Exact and Approximate Evaluation of Batch-Ordering Policies for Two-Level Inventory Systems," Operations Research, INFORMS, vol. 41(4), pages 777-785, August.
    • Handle: RePEc:inm:oropre:v:41:y:1993:i:4:p:777-785
    DOI: 10.1287/opre.41.4.777
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    Cited by:

    1. Kamran Moinzadeh, 2002. "A Multi-Echelon Inventory System with Information Exchange," Management Science, INFORMS, vol. 48(3), pages 414-426, March.
    2. Ki Ling Cheung & Warren H. Hausman, 2000. "An Exact Performance Evaluation for the Supplier in a Two-Echelon Inventory System," Operations Research, INFORMS, vol. 48(4), pages 646-653, August.
    3. Ki Ling Cheung & Hau L. Lee, 2002. "The Inventory Benefit of Shipment Coordination and Stock Rebalancing in a Supply Chain," Management Science, INFORMS, vol. 48(2), pages 300-306, February.
    4. Ganesh Janakiraman & John A. Muckstadt, 2009. "A Decomposition Approach for a Class of Capacitated Serial Systems," Operations Research, INFORMS, vol. 57(6), pages 1384-1393, December.
    5. Gérard P. Cachon, 1999. "Managing Supply Chain Demand Variability with Scheduled Ordering Policies," Management Science, INFORMS, vol. 45(6), pages 843-856, June.
    6. Chew, E. P. & Johnson, L. A., 1996. "Service level approximations for multiechelon inventory systems," European Journal of Operational Research, Elsevier, vol. 91(3), pages 440-455, June.
    7. K. Balaji Reddy & S. Narayanan & S.R. Raju, 2012. "A staggered ordering model for push demand case in a supply chain of the confectionery industry: a case study," International Journal of Business Performance Management, Inderscience Enterprises Ltd, vol. 13(1), pages 87-102.
    8. Yang, Lei & Yang, Jian & Yu, Gang & Zhang, Hanqin, 2011. "Near-optimal (r,Q) policies for a two-stage serial inventory system with Poisson demand," International Journal of Production Economics, Elsevier, vol. 133(2), pages 728-735, October.
    9. Li, Xiuhui & Wang, Qinan, 2007. "Coordination mechanisms of supply chain systems," European Journal of Operational Research, Elsevier, vol. 179(1), pages 1-16, May.

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