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An availability-based system with general repair via Bayesian aspect

Author

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  • Ke, Jau-Chuan
  • Chang, Chia-Jung
  • Lee, Wen-Chiung

Abstract

We study the Bayesian inferences of an availability system with reboot delay and standby switching failures, in which the system consists of one active component and one warm standby. The system is studied under the assumption that the time-to-failure and the time-to-repair are assumed to follow an exponential and a general distribution. The reboot time is assumed to be exponentially distributed with parameter β. There is always the failure possibility c during the switching process from standby-component state to the active-component state. To implement the simulation inference for the system availability, two repair-time distributions, namely, the lognormal and Erlang distributions characterized by their shape parameters are considered. Finally, all simulation results are displayed by appropriate tables and curves to analyze the performance of the statistical inference procedures.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:144:y:2018:i:c:p:247-265
    DOI: 10.1016/j.matcom.2017.09.001
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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.
    2. 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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    Cited by:

    1. 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.

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