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Dispatching from Depot Repair in a Recoverable Item Inventory System: On the Optimality of a Heuristic Rule

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  • Bruce L. Miller

    (University of California, Los Angeles)

Abstract

This paper examines real-time decision rules for a U.S. Air Force inventory system where items are repaired rather than "used up." The problem is to decide which user in the system has the greatest need for the newly available inventory items coming out of repair. The system is modeled as a Markov decision process and a heuristic rule is presented. This rule, the Transportation Time Look Ahead policy, is justified theoretically by showing that the rule is optimal for a modified model. Thus we have a theoretical justification of a decision rule in a large scale dynamic programming application.

Suggested Citation

  • Bruce L. Miller, 1974. "Dispatching from Depot Repair in a Recoverable Item Inventory System: On the Optimality of a Heuristic Rule," Management Science, INFORMS, vol. 21(3), pages 316-325, November.
    • Handle: RePEc:inm:ormnsc:v:21:y:1974:i:3:p:316-325
    DOI: 10.1287/mnsc.21.3.316
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    Cited by:

    1. Rezaei Somarin, Aghil & Chen, Songlin & Asian, Sobhan & Wang, David Z.W., 2017. "A heuristic stock allocation rule for repairable service parts," International Journal of Production Economics, Elsevier, vol. 184(C), pages 131-140.
    2. Elena V. Krichagina & Rodrigo Rubio & Michael I. Taksar & Lawrence M. Wein, 1998. "A Dynamic Stochastic Stock-Cutting Problem," Operations Research, INFORMS, vol. 46(5), pages 690-701, October.
    3. Mahar, Stephen & Bretthauer, Kurt M. & Venkataramanan, M.A., 2009. "The value of virtual pooling in dual sales channel supply chains," European Journal of Operational Research, Elsevier, vol. 192(2), pages 561-575, January.
    4. Peter L. Jackson & John A. Muckstadt, 1989. "Risk pooling in a two‐period, two‐echelon inventory stocking and allocation problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(1), pages 1-26, February.
    5. Paul Zipkin, 1991. "Evaluation of base‐stock policies in multiechelon inventory systems with compound‐poisson demands," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(3), pages 397-412, June.
    6. Guide, V. Daniel R. & Srivastava, Rajesh, 1997. "Repairable inventory theory: Models and applications," European Journal of Operational Research, Elsevier, vol. 102(1), pages 1-20, October.
    7. Topan, E. & Eruguz, A.S. & Ma, W. & van der Heijden, M.C. & Dekker, R., 2020. "A review of operational spare parts service logistics in service control towers," European Journal of Operational Research, Elsevier, vol. 282(2), pages 401-414.

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