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AN (S − 1, S) Inventory System with Fixed Shelf Life and Constant Lead Times

Author

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  • David Perry

    (University of Haifa, Haifa, Israel)

  • M. J. M. Posner

    (University of Toronto, Toronto, Ontario, Canada)

Abstract

We consider an ( S − 1, S ) type perishable inventory system in which the maximum shelf life of each item is fixed. An order for an item is placed at each demand time as well as at each time that the maximum shelf life of an item is reached. The order lead times are constant, and the demand process for items is Poisson. Although the resulting process is ostensibly nonregenerative, we adapt level-crossing theory for the case of an S -dimensional Markov process to obtain its stationary law. Within this framework a number of model variants are solved.

Suggested Citation

  • David Perry & M. J. M. Posner, 1998. "AN (S − 1, S) Inventory System with Fixed Shelf Life and Constant Lead Times," Operations Research, INFORMS, vol. 46(3-supplem), pages 65-71, June.
    • Handle: RePEc:inm:oropre:v:46:y:1998:i:3-supplement-3:p:s65-s71
    DOI: 10.1287/opre.46.3.S65
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    References listed on IDEAS

    as
    1. D. Perry & M. J. M. Posner, 1990. "Control of input and demand rates in inventory systems of perishable commodities," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(1), pages 85-97, February.
    2. Stephen C. Graves, 1982. "The Application of Queueing Theory to Continuous Perishable Inventory Systems," Management Science, INFORMS, vol. 28(4), pages 400-406, April.
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    Cited by:

    1. Kouki, Chaaben & Babai, M. Zied & Minner, Stefan, 2018. "On the benefit of dual-sourcing in managing perishable inventory," International Journal of Production Economics, Elsevier, vol. 204(C), pages 1-17.
    2. Stratos Ioannidis & Oualid Jouini & Angelos Economopoulos & Vassilis Kouikoglou, 2013. "Control policies for single-stage production systems with perishable inventory and customer impatience," Annals of Operations Research, Springer, vol. 209(1), pages 115-138, October.
    3. David Perry, 1999. "Analysis of a Sampling Control Scheme for a Perishable Inventory System," Operations Research, INFORMS, vol. 47(6), pages 966-973, December.
    4. Y-W Zhou & S-L Yang, 2003. "An optimal replenishment policy for items with inventory-level-dependent demand and fixed lifetime under the LIFO policy," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(6), pages 585-593, June.

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