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Availability analysis of a two‐unit series system with a priority shut‐off rule

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  • Ding‐Hua Shi
  • Liming Liu

Abstract

This study shows that the steady‐state availability of a two‐unit series system, which operates under a one‐direction shut‐off rule with a preemptive repair priority for unit 1, depends only on the first‐order system parameters. First we obtain both transient and steady‐state system availability and failure frequency when the lifetime of Unit 1 is Erlang and the other distributions are general. When the lifetime of Unit 1 is general, the system process has no regenerative point. Using supplementary variables, we establish a vector Markov process and hence transfer the problem to the solution of a system of integrodifferential equations. We can then obtain explicit formulas for the steady‐state system availability and failure frequency, respectively. In concluding this article we make some conjectures on series systems and point out future research opportunities. © 1996 John Wiley & Sons, Inc.

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  • Ding‐Hua Shi & Liming Liu, 1996. "Availability analysis of a two‐unit series system with a priority shut‐off rule," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(7), pages 1009-1024, October.
    • Handle: RePEc:wly:navres:v:43:y:1996:i:7:p:1009-1024
    DOI: 10.1002/(SICI)1520-6750(199610)43:73.0.CO;2-J
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    1. Guo, Linhan & Li, Ruiyang & Wang, Yu & Yang, Jun & Liu, Yu & Chen, Yiming & Zhang, Jianguo, 2023. "Availability for multi-component k-out-of-n: G warm-standby system in series with shut-off rule of suspended animation," Reliability Engineering and System Safety, Elsevier, vol. 233(C).

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