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A Multi-Type Production System for Perishable Inventories

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  • Bryan L. Deuermeyer

    (Texas A & M University, College Station, Texas)

Abstract

This paper develops a one-period model for investigating the properties of the optimal production policy for a system composed of two production processes called types A and B. These in turn produce two perishable stock items called products 1 and 2, having independent random demands and different lifetimes. Type A produces both products in amounts governed by a fixed set of production coefficients. Type B can be used only to manufacture product 2. The optimal starting inventory level is characterized for the one-period problem using the criterion of minimized expected total cost. The optimal production levels are characterized in terms of the starting inventory levels. Results show that the decision space is partitioned into four distinct regions whose boundaries are defined by a point and four hypersurfaces.

Suggested Citation

  • Bryan L. Deuermeyer, 1979. "A Multi-Type Production System for Perishable Inventories," Operations Research, INFORMS, vol. 27(5), pages 935-943, October.
    • Handle: RePEc:inm:oropre:v:27:y:1979:i:5:p:935-943
    DOI: 10.1287/opre.27.5.935
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    Cited by:

    1. Andres F. Osorio & Sally C. Brailsford & Honora K. Smith & Sonia P. Forero-Matiz & Bernardo A. Camacho-Rodríguez, 2017. "Simulation-optimization model for production planning in the blood supply chain," Health Care Management Science, Springer, vol. 20(4), pages 548-564, December.
    2. 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.
    3. Ding, Jingying & Peng, Zhenkang, 2024. "Heuristics for perishable inventory systems under mixture issuance policies," Omega, Elsevier, vol. 126(C).
    4. 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.
    5. Vidal-Carreras, Pilar I. & Garcia-Sabater, Jose P. & Coronado-Hernandez, Jairo R., 2012. "Economic lot scheduling with deliberated and controlled coproduction," European Journal of Operational Research, Elsevier, vol. 219(2), pages 396-404.
    6. Lowalekar, Harshal & Ravi, R. Raghavendra, 2017. "Revolutionizing blood bank inventory management using the TOC thinking process: An Indian case study," International Journal of Production Economics, Elsevier, vol. 186(C), pages 89-122.

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