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Introducing a new ordering policy in a two-echelon inventory system with Poisson demand

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  • Haji, Rasoul
  • Neghab, Mohammadali Pirayesh
  • Baboli, Armand

Abstract

In this paper we introduce a new ordering policy for inventory control in a two-echelon inventory system consisting of one central warehouse and a number of non-identical retailers. The warehouse uses a modified one-for-one policy, but the retailers apply a new policy which is different from the traditional inventory policies described in the literature of inventory and production control systems. In this system, each retailer constantly places an order for one unit of product to the central warehouse in a pre-determined time interval; i.e., the time interval between any two consecutive orders from each retailer is a fixed number and the quantity of each order is one. We then show how the inventory costs can be determined for this system. The most important advantage of this policy is that the warehouse is facing a uniform and deterministic demand originated by each retailer. Furthermore, a numerical example is provided to compare the performance of the new policy with the performance of the one-for-one policy in a two-echelon inventory system in terms of the total system cost.

Suggested Citation

  • Haji, Rasoul & Neghab, Mohammadali Pirayesh & Baboli, Armand, 2009. "Introducing a new ordering policy in a two-echelon inventory system with Poisson demand," International Journal of Production Economics, Elsevier, vol. 117(1), pages 212-218, January.
    • Handle: RePEc:eee:proeco:v:117:y:2009:i:1:p:212-218
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    1. Craig C. Sherbrooke, 1968. "Metric: A Multi-Echelon Technique for Recoverable Item Control," Operations Research, INFORMS, vol. 16(1), pages 122-141, February.
    2. Kanchanasuntorn, Kanchana & Techanitisawad, Anulark, 2006. "An approximate periodic model for fixed-life perishable products in a two-echelon inventory-distribution system," International Journal of Production Economics, Elsevier, vol. 100(1), pages 101-115, March.
    3. Andersson, Jonas & Melchiors, Philip, 2001. "A two-echelon inventory model with lost sales," International Journal of Production Economics, Elsevier, vol. 69(3), pages 307-315, February.
    4. Axsater, Sven, 2003. "Approximate optimization of a two-level distribution inventory system," International Journal of Production Economics, Elsevier, vol. 81(1), pages 545-553, January.
    5. Stephen C. Graves, 1985. "A Multi-Echelon Inventory Model for a Repairable Item with One-for-One Replenishment," Management Science, INFORMS, vol. 31(10), pages 1247-1256, October.
    6. Steven Nahmias & Stephen A. Smith, 1994. "Optimizing Inventory Levels in a Two-Echelon Retailer System with Partial Lost Sales," Management Science, INFORMS, vol. 40(5), pages 582-596, May.
    7. Lagodimos, A.G. & Koukoumialos, S., 2008. "Service performance of two-echelon supply chains under linear rationing," International Journal of Production Economics, Elsevier, vol. 112(2), pages 869-884, April.
    8. Forsberg, Rolf, 1997. "Evaluation of (R,Q)-policies for two-level inventory systems with generally distributed customer inter-arrival times," European Journal of Operational Research, Elsevier, vol. 99(2), pages 401-411, June.
    9. Axsater, Sven & Zhang, Wen-Fa, 1999. "A joint replenishment policy for multi-echelon inventory control," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 243-250, March.
    10. Forsberg, Rolf, 1997. "Exact evaluation of (R, Q)-policies for two-level inventory systems with Poisson demand," European Journal of Operational Research, Elsevier, vol. 96(1), pages 130-138, January.
    11. Ganeshan, Ram, 1999. "Managing supply chain inventories: A multiple retailer, one warehouse, multiple supplier model," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 341-354, March.
    12. Zhang, Tinglong & Liang, Liang & Yu, Yugang & Yu, Yan, 2007. "An integrated vendor-managed inventory model for a two-echelon system with order cost reduction," International Journal of Production Economics, Elsevier, vol. 109(1-2), pages 241-253, September.
    13. Axsater, Sven & Forsberg, Rolf & Zhang, Wen-Fa, 1994. "Approximating general multi-echelon inventory systems by Poisson models," International Journal of Production Economics, Elsevier, vol. 35(1-3), pages 201-206, June.
    14. Forsberg, Rolf, 1995. "Optimization of order-up-to-S policies for two-level inventory systems with compound Poisson demand," European Journal of Operational Research, Elsevier, vol. 81(1), pages 143-153, February.
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    Cited by:

    1. Guerrero, W.J. & Yeung, T.G. & Guéret, C., 2013. "Joint-optimization of inventory policies on a multi-product multi-echelon pharmaceutical system with batching and ordering constraints," European Journal of Operational Research, Elsevier, vol. 231(1), pages 98-108.
    2. Ehsan Ahmadi & Dale T. Masel & Seth Hostetler & Reza Maihami & Iman Ghalehkhondabi, 2020. "A centralized stochastic inventory control model for perishable products considering age-dependent purchase price and lead time," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(1), pages 231-269, April.

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