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Reliability prediction of fault tolerant machining system with reboot and recovery delay

Author

Listed:
  • Chandra Shekhar

    (Birla Institute of Technology and Science)

  • Madhu Jain

    (Indian Institute of Technology Roorkee)

  • Ather Aziz Raina

    (BGSB University)

  • Javid Iqbal

    (BGSB University)

Abstract

The present paper deals with the reliability analysis of fault tolerant multi-component machining system having multi-warm spares and reboot provisioning. The time-to-breakdown and repair of active/spare units and server are assumed to be exponentially distributed. The reboot process and recovery delay are also counterfeited exponentially distributed. The spectral method is adapted to compute the transient state probabilities of the system states. In order to predict the transient behavior of the system, various performance measures such as reliability function, mean-time-to-failure $$\left( {MTTF} \right)$$ M T T F , etc. have been established. To show the practicability of the developed model, we present numerical results by taking an illustration. The sensitivity of various system parameters on the reliability function and $$MTTF$$ M T T F has also been examined.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:ijsaem:v:9:y:2018:i:2:d:10.1007_s13198-017-0680-y
    DOI: 10.1007/s13198-017-0680-y
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    References listed on IDEAS

    as
    1. Mohammed A. Hajeeh, 2011. "Reliability and availability of a standby system with common cause failure," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 11(3), pages 343-363.
    2. Madhu Jain, 2013. "Availability prediction of imperfect fault coverage system with reboot and common cause failure," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 17(3), pages 374-397.
    3. 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.
    4. 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.
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    Cited by:

    1. Shekhar, Chandra & Kumar, Amit & Varshney, Shreekant, 2020. "Load sharing redundant repairable systems with switching and reboot delay," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    2. Shweta Upadhyaya & Richa Sharma & Divya Agarwal & Geetika Malik, 2023. "Convexity analysis and cost optimization of a retrial queue with Bernoulli vacation and delayed phase mending," 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. 14(5), pages 1671-1690, October.
    3. 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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