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Steady‐state approximation of a multiechelon multi‐indentured repairable‐item inventory system with a single repair facility

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  • S. Christian Albright
  • Amit Gupta

Abstract

We model a two‐echelon multi‐indentured repairable‐item inventory system where each “base” has a maximum number of identical online machines, and each machine consists of several module types. Machine failures are due to module failures and occur according to an exponential distribution. When a machine fails, the failed module is replaced by an identical spare module if one is available. Otherwise, the module is backordered. All failed modules go to a single “depot” repair facility which consists of a finite number of identical repairmen who are able to repair any module type in an exponentially distributed time, although the repair rates for different module types may differ. The principal contribution of this article is an approximation algorithm for calculating the steady‐state characteristics of the system. In comparison with simulation results, the algorithm is quite accurate and computationally efficient. © 1993 John Wiley & Sons, Inc.

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  • S. Christian Albright & Amit Gupta, 1993. "Steady‐state approximation of a multiechelon multi‐indentured repairable‐item inventory system with a single repair facility," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(4), pages 479-493, June.
    • Handle: RePEc:wly:navres:v:40:y:1993:i:4:p:479-493
    DOI: 10.1002/1520-6750(199306)40:43.0.CO;2-#
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    1. John A. Muckstadt & L. Joseph Thomas, 1980. "Are Multi-Echelon Inventory Methods Worth Implementing in Systems with Low-Demand-Rate Items?," Management Science, INFORMS, vol. 26(5), pages 483-494, May.
    2. Gary D. Scudder & Warren H. Hausman, 1982. "Spares stocking policies for repairable items with dependent repair times," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 29(2), pages 303-322, June.
    3. Robert S. Tripp & I. K. Cohen & Raymond A. Pyles & Richard J. Hillestad & Ronald W. Clarke & Stanley B. Limpert & Suleiman K. Kassicieh, 1991. "A Decision Support System for Assessing and Controlling the Effectiveness of Multi-Echelon Logistics Actions," Interfaces, INFORMS, vol. 21(4), pages 11-25, August.
    4. Warren H. Hausman & Gary D. Scudder, 1982. "Priority Scheduling Rules for Repairable Inventory Systems," Management Science, INFORMS, vol. 28(11), pages 1215-1232, November.
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    2. Driessen, M.A. & van Houtum, G.J. & Zijm, W.H.M. & Rustenburg, W.D., 2020. "Capacity assignment in repair shops with high material uncertainty," International Journal of Production Economics, Elsevier, vol. 221(C).
    3. Turan, Hasan Hüseyin & Atmis, Mahir & Kosanoglu, Fuat & Elsawah, Sondoss & Ryan, Michael J., 2020. "A risk-averse simulation-based approach for a joint optimization of workforce capacity, spare part stocks and scheduling priorities in maintenance planning," Reliability Engineering and System Safety, Elsevier, vol. 204(C).

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