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An approximation to the stationary distribution of a multiechelon repairable‐item inventory system with finite sources and repair channels

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  • S. Christian Albright

Abstract

We consider a multiechelon repairable‐item inventory system where several bases are supported by a central depot. Unlike METRIC‐based models, there are only a finite number of repairmen at each base and the depot, and the failure rates at the bases depend on the current number of items online. The principal objective of this article is to develop a quick and accurate approximation to the steady‐state distribution of this system. A secondary objective is to compare the solution of this system with a comparable METRIC solution.

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  • S. Christian Albright, 1989. "An approximation to the stationary distribution of a multiechelon repairable‐item inventory system with finite sources and repair channels," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(2), pages 179-195, April.
    • Handle: RePEc:wly:navres:v:36:y:1989:i:2:p:179-195
    DOI: 10.1002/1520-6750(198904)36:23.0.CO;2-D
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    1. Donald Gross & Henry D. Kahn & Joseph D. Marsh, 1977. "Queueing models for spares provisioning," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 24(4), pages 521-536, December.
    2. S. Christian Albright & A. Soni, 1988. "Markovian multiechelon repairable inventory system," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(1), pages 49-61, February.
    3. Donald Gross, 1982. "On the Ample Service Assumption of Palm's Theorem in Inventory Modeling," Management Science, INFORMS, vol. 28(9), pages 1065-1079, September.
    4. Donald Gross & Leonidas C. Kioussis & Douglas R. Miller, 1987. "Transient behavior of large Markovian multiechelon repairable item inventory systems using a truncated state space approach," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(2), pages 173-198, April.
    5. Craig C. Sherbrooke, 1971. "An Evaluator for the Number of Operationally Ready Aircraft in a Multilevel Supply System," Operations Research, INFORMS, vol. 19(3), pages 618-635, June.
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    Cited by:

    1. Diaz, Angel & Fu, Michael C., 1997. "Models for multi-echelon repairable item inventory systems with limited repair capacity," European Journal of Operational Research, Elsevier, vol. 97(3), pages 480-492, March.
    2. Fritzsche, R., 2012. "Cost adjustment for single item pooling models using a dynamic failure rate: A calculation for the aircraft industry," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(6), pages 1065-1079.
    3. Rustenburg, W. D. & van Houtum, G. J. & Zijm, W. H. M., 2001. "Spare parts management at complex technology-based organizations: An agenda for research," International Journal of Production Economics, Elsevier, vol. 71(1-3), pages 177-193, May.

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