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Analysis of a Sampling Control Scheme for a Perishable Inventory System

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  • David Perry

    (Department of Statistics, University of Haifa, Haifa, Israel)

Abstract

We consider an inventory system in which both the arrival of items and the demand for those items are Poisson processes. The stored items have two phases of shelf-life. If the item has not been taken by a demand during the first phase it is inspected. With probability q it is removed and with probability p = 1 − q it is transferred to the second phase. The blood bank model inspired this study. We compute ergodic limits for the number of items in the system, the lost demands, and the two types of outdating.

Suggested Citation

  • David Perry, 1999. "Analysis of a Sampling Control Scheme for a Perishable Inventory System," Operations Research, INFORMS, vol. 47(6), pages 966-973, December.
    • Handle: RePEc:inm:oropre:v:47:y:1999:i:6:p:966-973
    DOI: 10.1287/opre.47.6.966
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    References listed on IDEAS

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    1. Haya Kaspi, 1984. "Storage Processes with Markov Additive Input and Output," Mathematics of Operations Research, INFORMS, vol. 9(3), pages 424-440, August.
    2. 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.
    3. Stephen C. Graves, 1982. "The Application of Queueing Theory to Continuous Perishable Inventory Systems," Management Science, INFORMS, vol. 28(4), pages 400-406, April.
    4. Steven Nahmias, 1982. "Perishable Inventory Theory: A Review," Operations Research, INFORMS, vol. 30(4), pages 680-708, August.
    5. 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.
    6. Keilson, J. & Seidmann, A., 1990. "Product Selection policies for Inventory Systems," Papers 90-09, Rochester, Business - Quantitative Methods Working Paper Series.
    7. D. Y. Barrer, 1957. "Queuing with Impatient Customers and Ordered Service," Operations Research, INFORMS, vol. 5(5), pages 650-656, October.
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    Citations

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    Cited by:

    1. Deming Zhou & Lawrence C. Leung & William P. Pierskalla, 2011. "Inventory Management of Platelets in Hospitals: Optimal Inventory Policy for Perishable Products with Regular and Optional Expedited Replenishments," Manufacturing & Service Operations Management, INFORMS, vol. 13(4), pages 420-438, October.
    2. Xiuli Chao & Xiting Gong & Cong Shi & Huanan Zhang, 2015. "Approximation Algorithms for Perishable Inventory Systems," Operations Research, INFORMS, vol. 63(3), pages 585-601, June.
    3. Vahid Sarhangian & Hossein Abouee-Mehrizi & Opher Baron & Oded Berman, 2018. "Threshold-Based Allocation Policies for Inventory Management of Red Blood Cells," Manufacturing & Service Operations Management, INFORMS, vol. 20(2), pages 347-362, May.
    4. Krishnamoorthy, A. & Babu, S. & Narayanan, Viswanath C., 2009. "The MAP/(PH/PH)/1 queue with self-generation of priorities and non-preemptive service," European Journal of Operational Research, Elsevier, vol. 195(1), pages 174-185, May.
    5. Onno Boxma & David Perry & Shelley Zacks, 2015. "A Fluid EOQ Model of Perishable Items with Intermittent High and Low Demand Rates," Mathematics of Operations Research, INFORMS, vol. 40(2), pages 390-402, February.

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