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Blood Platelet Production: a multi-type perishable inventory problem

In: Operations Research Proceedings 2004

Author

Listed:
  • René Haijema

    (University of Amsterdam)

  • Jan Wal

    (University of Amsterdam
    Eindhoven University of Technology)

  • Nico M. Dijk

    (University of Amsterdam)

Abstract

Blood banks produce and store blood products in order to fulfil the uncertain demand at hospitals. Platelet pools are the most expensive and most perishable blood product having a shelf life of only four to six days. Production volumes need to be chosen carefully in order to reduce outdating while keeping the occurrence of shortages low. We investigate the structure of the optimal production policy by solving a down sized periodic Markov Decision Problem. The optimal production volumes appear to depend on the number of pools on stock and their ages. Simulation results for the optimal MDP-policy suggest two rules: the 1D and 2D rule. Both rules perform quite well. The 2D rule performs nearly optimal even if one acknowledges the distinction of multiple and limited compatible blood groups and the uncertainty in the supply by donors.

Suggested Citation

  • René Haijema & Jan Wal & Nico M. Dijk, 2005. "Blood Platelet Production: a multi-type perishable inventory problem," Operations Research Proceedings, in: Hein Fleuren & Dick Hertog & Peter Kort (ed.), Operations Research Proceedings 2004, pages 84-92, Springer.
    • Handle: RePEc:spr:oprchp:978-3-540-27679-1_11
    DOI: 10.1007/3-540-27679-3_11
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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. Herbon, Avi, 2017. "Should retailers hold a perishable product having different ages? The case of a homogeneous market and multiplicative demand model," International Journal of Production Economics, Elsevier, vol. 193(C), pages 479-490.
    3. Fredrik Ødegaard & Sudipendra Nath Roy, 2021. "Heuristic-based allocation of supply constrained blood platelets in emerging economies," Journal of Heuristics, Springer, vol. 27(5), pages 719-745, October.
    4. Xiuli Chao & Xiting Gong & Cong Shi & Chaolin Yang & Huanan Zhang & Sean X. Zhou, 2018. "Approximation Algorithms for Capacitated Perishable Inventory Systems with Positive Lead Times," Management Science, INFORMS, vol. 64(11), pages 5038-5061, November.
    5. Umay Uzunoglu Kocer & Bahar Yalcin, 2020. "Continuous review (s, Q) inventory system with random lifetime and two demand classes," OPSEARCH, Springer;Operational Research Society of India, vol. 57(1), pages 104-118, March.

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