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Waiting Time in an S − 1, S Inventory System with Arbitrarily Distributed Lead Times

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  • W. Karl Kruse

    (U.S. Army Inventory Research Office, Philadelphia, Pennsylvania)

Abstract

The customer waiting time distribution is derived for an S − 1, S continuous review inventory system experiencing Poisson demands and general independent identically distributed lead times. The analysis uses results from the infinite server Poisson queue. Some comparisons are made with an approximation to the waiting time distribution due to Higa et al.

Suggested Citation

  • W. Karl Kruse, 1980. "Waiting Time in an S − 1, S Inventory System with Arbitrarily Distributed Lead Times," Operations Research, INFORMS, vol. 28(2), pages 348-352, April.
    • Handle: RePEc:inm:oropre:v:28:y:1980:i:2:p:348-352
    DOI: 10.1287/opre.28.2.348
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    Cited by:

    1. Hill, R.M. & Seifbarghy, M. & Smith, D.K., 2007. "A two-echelon inventory model with lost sales," European Journal of Operational Research, Elsevier, vol. 181(2), pages 753-766, September.
    2. Berling, Peter & Farvid, Mojtaba, 2014. "Lead-time investigation and estimation in divergent supply chains," International Journal of Production Economics, Elsevier, vol. 157(C), pages 177-189.
    3. Yunzeng Wang & Morris A. Cohen & Yu-Sheng Zheng, 2000. "A Two-Echelon Repairable Inventory System with Stocking-Center-Dependent Depot Replenishment Lead Times," Management Science, INFORMS, vol. 46(11), pages 1441-1453, November.
    4. Olsson, Ralph J. & Hill, Roger M., 2007. "A two-echelon base-stock inventory model with Poisson demand and the sequential processing of orders at the upper echelon," European Journal of Operational Research, Elsevier, vol. 177(1), pages 310-324, February.
    5. Taher Ahmadi & Zümbül Atan & Ton Kok & Ivo Adan, 2020. "Time-based service constraints for inventory systems with commitment lead time," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 42(2), pages 355-395, June.
    6. 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.

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