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Calculation of Steady-State Probabilities for Repair Facilities with Multiple Sources and Dynamic Return Priorities

Author

Listed:
  • Sikander Daryanani

    (ICF Resources, Inc., Fairfax, Virginia)

  • Douglas R. Miller

    (George Mason University, Fairfax, Virginia)

Abstract

We develop iterative computational formulas for the steady-state probabilities of an exponential single-channel repair facility with multiple Poisson sources and a dynamic return policy. Such facilities occur as part of multi-echelon repairable item provisioning systems in which backorders are filled according to need instead of FIFO or SIRO policies. Some computational examples are given which show the difference in system performance. Our analysis is an example of the state-reduction computational method for Markov chains. Our implementation makes use of taboo sets and taboo probabilities which have physically meaningful interpretations.

Suggested Citation

  • Sikander Daryanani & Douglas R. Miller, 1992. "Calculation of Steady-State Probabilities for Repair Facilities with Multiple Sources and Dynamic Return Priorities," Operations Research, INFORMS, vol. 40(3-supplem), pages 248-256, June.
    • Handle: RePEc:inm:oropre:v:40:y:1992:i:3-supplement-2:p:s248-s256
    DOI: 10.1287/opre.40.3.S248
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    Cited by:

    1. Duong, Quang Huy & Zhou, Li & Meng, Meng & Nguyen, Truong Van & Ieromonachou, Petros & Nguyen, Duy Tiep, 2022. "Understanding product returns: A systematic literature review using machine learning and bibliometric analysis," International Journal of Production Economics, Elsevier, vol. 243(C).

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