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A repairable system with imperfect coverage and reboot: Bayesian and asymptotic estimation

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  • Hsu, Ying-Lin
  • Lee, Ssu-Lang
  • Ke, Jau-Chuan

Abstract

System characteristics of a two-unit repairable system are studied from a Bayesian viewpoint with different types of priors assumed for unknown parameters, in which the coverage factor for an operating unit failure is possibly considered. Time to failure and time to repair of the operating units are assumed to follow exponential distributions. In addition, the recovery time and reboot time of the failed units also follow exponential distributions. When time to failure, time to repair, recovery time and reboot time are with uncertain parameters, a Bayesian approach is adopted to evaluate system characteristics. Monte Carlo simulation is used to derive the posterior distribution for the mean time to system failure and the steady-state availability. Some numerical experiments are performed to illustrate the results derived in this paper.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:79:y:2009:i:7:p:2227-2239
    DOI: 10.1016/j.matcom.2008.12.018
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    References listed on IDEAS

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    1. V. S. S. Yadavalli & A. Bekker & J. Pauw, 2005. "Bayesian Study Of A Two-Component System With Common-Cause Shock Failures," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 22(01), pages 105-119.
    2. 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. Patawa, Rohit & Pundir, Pramendra Singh, 2023. "Inferential study of single unit repairable system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 206(C), pages 503-516.
    2. Rohit Patawa & Pramendra Singh Pundir & Alok Kumar Sigh & Abhinav Singh, 2022. "Some inferences on reliability measures of two-non-identical units cold standby system waiting for repair," 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. 13(1), pages 172-188, February.
    3. Ke, Jau-Chuan & Chang, Chia-Jung & Lee, Wen-Chiung, 2018. "An availability-based system with general repair via Bayesian aspect," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 144(C), pages 247-265.
    4. Qingqing Zhai & Rui Peng & Liudong Xing & Jun Yang, 2013. "Binary decision diagram-based reliability evaluation of k-out-of-(n + k) warm standby systems subject to fault-level coverage," Journal of Risk and Reliability, , vol. 227(5), pages 540-548, October.

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