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The Expected Number of Visits to State k before a Total System Failure of a Complex System with Repair Maintenance

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  • Toshio Nakagawa

    (Syracuse University, Syracuse, New York, and Meijo University, Nagoya, Japan)

Abstract

This paper investigates the stochastic behavior before a total system failure for a standby redundant system with repair maintenance. It derives the expected number of visits to state k before a total system failure and other measures explicitly by considering “taboo” probabilities for an imbedded Markov chain generated by the system. The transition probabilities and the first-passage distributions are also discussed. Numerical examples are presented.

Suggested Citation

  • Toshio Nakagawa, 1974. "The Expected Number of Visits to State k before a Total System Failure of a Complex System with Repair Maintenance," Operations Research, INFORMS, vol. 22(1), pages 108-116, February.
    • Handle: RePEc:inm:oropre:v:22:y:1974:i:1:p:108-116
    DOI: 10.1287/opre.22.1.108
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    Cited by:

    1. Dohi, Tadashi & Zheng, Junjun & Okamura, Hiroyuki & Trivedi, Kishor S., 2018. "Optimal periodic software rejuvenation policies based on interval reliability criteria," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 463-475.

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