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Transient behavior of large Markovian multiechelon repairable item inventory systems using a truncated state space approach

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  • Donald Gross
  • Leonidas C. Kioussis
  • Douglas R. Miller

Abstract

Calculations for large Markovian finite source, finite repair capacity two‐echelon repairable item inventory models are shown to be feasible using the randomization technique and a truncated state space approach. More complex models (involving transportation pipelines, multiple‐item types and additional echelon levels) are also considered.

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navres:v:34:y:1987:i:2:p:173-198
    DOI: 10.1002/1520-6750(198704)34:23.0.CO;2-2
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    References listed on IDEAS

    as
    1. Donald Gross & Douglas R. Miller, 1984. "Multiechelon repairable‐item provisioning in a time‐varying environment using the randomization technique," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 31(3), pages 347-361, September.
    2. Donald Gross & Douglas R. Miller, 1984. "The Randomization Technique as a Modeling Tool and Solution Procedure for Transient Markov Processes," Operations Research, INFORMS, vol. 32(2), pages 343-361, April.
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    Cited by:

    1. 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.
    2. 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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