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A cold standby repairable system with the repairman having multiple vacations and operational, repair, and vacation times following phase-type distributions

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  • Baoliang Liu
  • Lirong Cui
  • Yanqing Wen
  • Furi Guo

Abstract

This paper studies a cold standby repairable system with two identical components and one repairman having multiple vacations applying matrix-analytic methods. The lifetime of the component follows a phase-type distribution. The repair times and the vacation times of the repairman are governed by different phase-type distributions, respectively. For this system, the Markov process governing the system is constructed. The system is studied in a transient and stationary regime, the availability, the reliability, the rates of occurrence of the different types of failures, and the working probability of the repairman are calculated, respectively. A numerical application is performed to illustrate the calculations.

Suggested Citation

  • Baoliang Liu & Lirong Cui & Yanqing Wen & Furi Guo, 2016. "A cold standby repairable system with the repairman having multiple vacations and operational, repair, and vacation times following phase-type distributions," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(4), pages 850-858, February.
    • Handle: RePEc:taf:lstaxx:v:45:y:2016:i:4:p:850-858
    DOI: 10.1080/03610926.2013.851239
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    Cited by:

    1. Yang, Dong-Yuh & Wu, Chia-Huang, 2021. "Evaluation of the availability and reliability of a standby repairable system incorporating imperfect switchovers and working breakdowns," Reliability Engineering and System Safety, Elsevier, vol. 207(C).

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