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Technical Note—Waiting Time in a Continuous Review ( s , S ) Inventory System with Constant Lead Times

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  • W. Karl Kruse

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

Abstract

The waiting time distribution in an ( s , S ) continuous review inventory system with constant lead times is derived in this paper. The demand times are assumed to constitute a renewal process, and demand sizes are independent identically distributed (i.i.d.) integer valued random variables. Some relationships are given between waiting time and some common inventory measures.

Suggested Citation

  • W. Karl Kruse, 1981. "Technical Note—Waiting Time in a Continuous Review ( s , S ) Inventory System with Constant Lead Times," Operations Research, INFORMS, vol. 29(1), pages 202-207, February.
    • Handle: RePEc:inm:oropre:v:29:y:1981:i:1:p:202-207
    DOI: 10.1287/opre.29.1.202
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    Cited by:

    1. Guangyuan Yang & Rommert Dekker, 2010. "Service Parts Inventory Control with Lateral Transshipment that takes Time," Tinbergen Institute Discussion Papers 10-025/4, Tinbergen Institute, revised 10 Mar 2010.
    2. Hausman, Warren H. & Lee, Hau L. & Zhang, Alex X., 1998. "Joint demand fulfillment probability in a multi-item inventory system with independent order-up-to policies," European Journal of Operational Research, Elsevier, vol. 109(3), pages 646-659, September.
    3. Yang, Guangyuan & Dekker, Rommert & Gabor, Adriana F. & Axsäter, Sven, 2013. "Service parts inventory control with lateral transshipment and pipeline stockflexibility," International Journal of Production Economics, Elsevier, vol. 142(2), pages 278-289.
    4. 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.
    5. Straubert, Christian, 2024. "A continuous approximation location-inventory model with exact inventory costs and nonlinear delivery lead time penalties," International Journal of Production Economics, Elsevier, vol. 268(C).
    6. Jing-Sheng Song, 1998. "On the Order Fill Rate in a Multi-Item, Base-Stock Inventory System," Operations Research, INFORMS, vol. 46(6), pages 831-845, December.

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