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Markovian multiechelon repairable inventory system

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  • S. Christian Albright
  • A. Soni

Abstract

In this article we model a two‐echelon (two levels of repair, one level of supply) repairable‐item inventory system using continuous‐time Markov processes. We analyze two models. In the first model we assume a system with a single base. In the second model we expand this model to include n bases. The Markov approach gives rise to multidimensional state spaces that are large even for relatively small problems. Because of this, we utilize aggregate/disaggregate techniques to develop a solution algorithm for finding the steady‐state distribution. This algorithm is exact for the single‐base model and is an approximation for the n‐base model, in which case it is found to be very accurate and computationally very efficient.

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navres:v:35:y:1988:i:1:p:49-61
    DOI: 10.1002/1520-6750(198802)35:13.0.CO;2-U
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    References listed on IDEAS

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    1. 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. Nasuh Buyukkaramikli & Henny Ooijen & J. Bertrand, 2015. "Integrating inventory control and capacity management at a maintenance service provider," Annals of Operations Research, Springer, vol. 231(1), pages 185-206, August.
    2. 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.
    3. 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.

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