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

Toshio Nakagawa
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Toshio Nakagawa: Syracuse University, Syracuse, New York, and Meijo University, Nagoya, Japan

Operations Research, 1974, vol. 22, issue 1, 108-116

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.

Date: 1974
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Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:22:y:1974:i:1:p:108-116

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