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On the (S‐1, S) inventory model under compound poisson demands and i.i.d. unit resupply times

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  • Ki Ling Cheung

Abstract

We analyze an (S‐1, S) inventory model with compound Poisson demands. Resupply times for individual units are independent and identically distributed. Such a model can also be characterized as an MX/G/∞ queue. We derive expressions of performance measure such as the steady‐state distribution and the expectation of the number of backlogged units. In addition, numerical examples are included to reflect the effects of i.i.d. unit resupply times. © 1996 John Wiley & Sons, Inc.

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  • Ki Ling Cheung, 1996. "On the (S‐1, S) inventory model under compound poisson demands and i.i.d. unit resupply times," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(4), pages 563-572, June.
    • Handle: RePEc:wly:navres:v:43:y:1996:i:4:p:563-572
    DOI: 10.1002/(SICI)1520-6750(199606)43:43.0.CO;2-5
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    References listed on IDEAS

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    1. George J. Feeney & Craig C. Sherbrooke, 1966. "Correction to "(s - 1, s) Inventory Policy Under Compound Poisson Demand"," Management Science, INFORMS, vol. 12(11), pages 908-908, July.
    2. G. J. Feeney & C. C. Sherbrooke, 1966. "The (S - 1, S) Inventory Policy Under Compound Poisson Demand," Management Science, INFORMS, vol. 12(5), pages 391-411, January.
    3. Kamran Moinzadeh, 1989. "Operating Characteristics of the (S - 1, S) Inventory System with Partial Backorders and Constant Resupply Times," Management Science, INFORMS, vol. 35(4), pages 472-477, April.
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