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Standby system with general repair, reboot delay, switching failure and unreliable repair facility—A statistical standpoint

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  • Hsu, Ying-Lin
  • Ke, Jau-Chuan
  • Liu, Tzu-Hsin

Abstract

This study statistically examines an availability system with reboot delay, standby switching failures and an unreliable repair facility, which consists of two active components and one warm standby. The time-to-failure and the reboot time are assumed to be exponentially distributed. The repair time of the service station and the time-to-repair of component are assumed to be generally distributed. A consistent and asymptotically normal estimator of availability of such a repairable system is developed. Based on this estimator, interval estimation and testing hypothesis are performed by using logit transformation. To implement the simulation inference for the system availability, two repair-time distributions, lognormal and Weibull distributions, are used. Three Weibull distributions characterized by distinct shape parameters are considered. Finally, all simulation results are displayed as appropriate tables and curves to reveal the performance of the statistical inference procedures.

Suggested Citation

  • Hsu, Ying-Lin & Ke, Jau-Chuan & Liu, Tzu-Hsin, 2011. "Standby system with general repair, reboot delay, switching failure and unreliable repair facility—A statistical standpoint," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(11), pages 2400-2413.
    • Handle: RePEc:eee:matcom:v:81:y:2011:i:11:p:2400-2413
    DOI: 10.1016/j.matcom.2011.03.003
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    References listed on IDEAS

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    1. P. Chandrasekhar & R. Natarajan & V. S. S. Yadavalli, 2004. "A Study On A Two Unit Standby System With Erlangian Repair Time," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 21(03), pages 271-277.
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    Cited by:

    1. Jain, Madhu & Kumar, Pankaj & Singh, Mayank & Gupta, Ritu, 2024. "Cost optimization and reliability analysis of fault tolerant system with service interruption and reboot," Reliability Engineering and System Safety, Elsevier, vol. 249(C).
    2. Shekhar, Chandra & Kumar, Neeraj & Gupta, Amit & Kumar, Amit & Varshney, Shreekant, 2020. "Warm-spare provisioning computing network with switching failure, common cause failure, vacation interruption, and synchronized reneging," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
    3. Chandra Shekhar & Madhu Jain & Ather Aziz Raina & Javid Iqbal, 2018. "Reliability prediction of fault tolerant machining system with reboot and recovery delay," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 9(2), pages 377-400, April.

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    1. Hsu, Ying-Lin & Lee, Ssu-Lang & Ke, Jau-Chuan, 2009. "A repairable system with imperfect coverage and reboot: Bayesian and asymptotic estimation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(7), pages 2227-2239.
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