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Availability analysis for repairable system with warm standby, switching failure and reboot delay

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  • M. Jain
  • Sulekha Rani

Abstract

By using the Markov process, system state transitions can be modelled to predict the system availability in many realistic applications, wherein all components of the system cannot be treated as identical because of their failure and repair characteristics. In this paper, efforts have been made to examine the availability characteristics for three different configurations with warm standby, switching failure and delay of reboot. For the primary and warm standby components, the time-to-failure, time-to-repair and time-to-delay are assumed to follow exponential distribution. The switching of warm standbys to replace failed components is subject to failure with probability q. Numerical results using the Runge-Kutta method have been provided for supporting the analytical results. These results validate the prediction capability of the proposed analytical framework of the system incorporating standby, switching and reboot.

Suggested Citation

  • M. Jain & Sulekha Rani, 2013. "Availability analysis for repairable system with warm standby, switching failure and reboot delay," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 5(1), pages 19-39.
    • Handle: RePEc:ids:ijmore:v:5:y:2013:i:1:p:19-39
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    Cited by:

    1. 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.
    2. Ke, Jau-Chuan & Liu, Tzu-Hsin & Yang, Dong-Yuh, 2018. "Modeling of machine interference problem with unreliable repairman and standbys imperfect switchover," Reliability Engineering and System Safety, Elsevier, vol. 174(C), pages 12-18.

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