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On the Evaluation of a Class of Inventory Policies for Perishable Products Such as Blood

Author

Listed:
  • Eric Brodheim

    (The New York Blood Center)

  • Cyrus Derman

    (The New York Blood Center, Columbia University)

  • Gregory Prastacos

    (The New York Blood Center)

Abstract

A class of inventory and distribution policies for scheduled deliveries of perishable products subject to variable demand is modeled as a Markov chain with a manageable number of states. From its stationary distribution, such measures as probability of shortage, the average age of the inventory, and the average number discarded per time period are obtained. Easily computable bounds on these measures that indicate how they behave as functions of demand, and inventory policy parameters are developed.

Suggested Citation

  • Eric Brodheim & Cyrus Derman & Gregory Prastacos, 1975. "On the Evaluation of a Class of Inventory Policies for Perishable Products Such as Blood," Management Science, INFORMS, vol. 21(11), pages 1320-1325, July.
    • Handle: RePEc:inm:ormnsc:v:21:y:1975:i:11:p:1320-1325
    DOI: 10.1287/mnsc.21.11.1320
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    Cited by:

    1. Borga Deniz & Itir Karaesmen & Alan Scheller-Wolf, 2010. "Managing Perishables with Substitution: Inventory Issuance and Replenishment Heuristics," Manufacturing & Service Operations Management, INFORMS, vol. 12(2), pages 319-329, July.
    2. Puranam, Kartikeya & Novak, David C. & Lucas, Marilyn T. & Fung, Mark, 2017. "Managing blood inventory with multiple independent sources of supply," European Journal of Operational Research, Elsevier, vol. 259(2), pages 500-511.
    3. Haijema, René & Minner, Stefan, 2016. "Stock-level dependent ordering of perishables: A comparison of hybrid base-stock and constant order policies," International Journal of Production Economics, Elsevier, vol. 181(PA), pages 215-225.
    4. Michael Katehakis & Ingram Olkin & Sheldon Ross & Jian Yang, 2013. "On the life and work of Cyrus Derman," Annals of Operations Research, Springer, vol. 208(1), pages 5-26, September.
    5. Dehghani, Maryam & Abbasi, Babak & Oliveira, Fabricio, 2021. "Proactive transshipment in the blood supply chain: A stochastic programming approach," Omega, Elsevier, vol. 98(C).
    6. Dillon, Mary & Oliveira, Fabricio & Abbasi, Babak, 2017. "A two-stage stochastic programming model for inventory management in the blood supply chain," International Journal of Production Economics, Elsevier, vol. 187(C), pages 27-41.
    7. Taesu Cheong & Chelsea White, 2013. "Inventory replenishment control under supply uncertainty," Annals of Operations Research, Springer, vol. 208(1), pages 581-592, September.
    8. Civelek, Ismail & Karaesmen, Itir & Scheller-Wolf, Alan, 2015. "Blood platelet inventory management with protection levels," European Journal of Operational Research, Elsevier, vol. 243(3), pages 826-838.
    9. Hossein Abouee‐Mehrizi & Mahdi Mirjalili & Vahid Sarhangian, 2022. "Data‐driven platelet inventory management under uncertainty in the remaining shelf life of units," Production and Operations Management, Production and Operations Management Society, vol. 31(10), pages 3914-3932, October.
    10. Beliën, Jeroen & Forcé, Hein, 2012. "Supply chain management of blood products: A literature review," European Journal of Operational Research, Elsevier, vol. 217(1), pages 1-16.
    11. Wang, Ke-Ming & Ma, Zu-Jun, 2015. "Age-based policy for blood transshipment during blood shortage," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 80(C), pages 166-183.
    12. Li‐Ming Chen & Amar Sapra, 2021. "Inventory renewal for a perishable product: Economies of scale and age‐dependent demand," Naval Research Logistics (NRL), John Wiley & Sons, vol. 68(3), pages 359-377, April.

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