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Centralized inventory control in a two‐level distribution system with Poisson demand

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  • Johan Marklund

Abstract

This paper introduces a new replenishment policy for inventory control in a two‐level distribution system consisting of one central warehouse and an arbitrary number of nonidentical retailers. The new policy is designed to control the replenishment process at the central warehouse, using centralized information regarding the inventory positions and demand processes of all installations in the system. The retailers on the other hand are assumed to use continuous review (R, Q) policies. A technique for exact evaluation of the expected inventory holding and backorder costs for the system is presented. Numerical results indicate that there are cases when considerable savings can be made by using the new (α0, Q0) policy instead of a traditional echelon‐ or installation‐stock (R, Q) policy. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 798–822, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/nav.10040

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  • Johan Marklund, 2002. "Centralized inventory control in a two‐level distribution system with Poisson demand," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(8), pages 798-822, December.
    • Handle: RePEc:wly:navres:v:49:y:2002:i:8:p:798-822
    DOI: 10.1002/nav.10040
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    References listed on IDEAS

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    1. Olof Stenius & Ayşe Gönül Karaarslan & Johan Marklund & A. G. de Kok, 2016. "Exact Analysis of Divergent Inventory Systems with Time-Based Shipment Consolidation and Compound Poisson Demand," Operations Research, INFORMS, vol. 64(4), pages 906-921, August.
    2. Peter Berling & Victor Martínez-de-Albéniz, 2016. "Dynamic Speed Optimization in Supply Chains with Stochastic Demand," Transportation Science, INFORMS, vol. 50(3), pages 1114-1127, August.
    3. 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.
    4. Andersson, Jonas & Malmberg, Filip & Marklund, Johan, 2023. "Exact analysis of One-Warehouse-Multiple-Retailer inventory systems with quantity restricted deliveries," European Journal of Operational Research, Elsevier, vol. 309(3), pages 1161-1172.

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