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[Author] Naohiko YAMAGUCHI(1hit)

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  • MTBF for Consecutive-k-out-of-n: F Systems with Nonidentical Component Availabilities

    Masafumi SASAKI  Naohiko YAMAGUCHI  Tetsushi YUGE  Shigeru YANAGI  

     
    PAPER-System Reliability

      Vol:
    E77-A No:1
      Page(s):
    122-128

    Mean Time Between Failures (MTBF) is an important measure of practical repairable systems, but it has not been obtained for a repairable linear consecutive-k-out-of-n: F system. We first present a general formula for the (steady-state) availability of a repairable linear consecutive-k-out-of-n: F system with nonidentical components by employing the cut set approach or a topological availability method. Second, we present a general formula for frequency of system failures of a repairable linear consecutive-k-out-of-n: F system with nonidentical components. Then the MTBF for the repairable linear consecutive-k-out-of-n: F system is shown by using the frequency of system failure and availability. Lastly, we derive some figures which show the relationship between the MTBF and repair rate µorρ(=λ/µ) in the repairable linear consecutive-k-out-of-n: F system. The figures can be easily used and are useful for reliability design.