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Availability prediction of imperfect fault coverage system with reboot and common cause failure

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  • Madhu Jain

Abstract

This investigation is concerned with the availability characteristics of a multi-component repairable system with coverage factor and reboot delay. The time to repair the operating units is considered to be generally distributed whereas the life time, recovery time and reboot time of the units are assumed to be exponentially distributed. By introducing the supplementary variable corresponding to remaining repair time and using recursive approach, we evaluate steady state probabilities of the system states. The availability and failure frequency for different system configurations are obtained explicitly for some special distributions of repair time such as exponential, gamma and uniform distributions. The numerical experiments are performed to illustrate the computational tractability of the derived analytical results. The sensitivity analysis is carried out to examine the effect of system parameters on the reliability indices. Neuro-fuzzy results are also depicted graphically to explore the possibility of soft computing approach for the performance prediction of complex redundant systems.

Suggested Citation

  • 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.
  • Handle: RePEc:ids:ijores:v:17:y:2013:i:3:p:374-397
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    Citations

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    Cited by:

    1. Seyed Mohammad Mortazavi & Mahdi Karbasian & Sareh Goli, 2017. "Evaluating MTTF of 2-out-of-3 redundant systems with common cause failure and load share based on alpha factor and capacity flow models," 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. 8(3), pages 542-552, September.
    2. 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.
    3. Ahuja, Anjali & Jain, Anamika & Jain, Madhu, 2022. "Transient analysis and ANFIS computing of unreliable single server queueing model with multiple stage service and functioning vacation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 192(C), pages 464-490.
    4. Mi, Jinhua & Lu, Ning & Li, Yan-Feng & Huang, Hong-Zhong & Bai, Libing, 2022. "An evidential network-based hierarchical method for system reliability analysis with common cause failures and mixed uncertainties," Reliability Engineering and System Safety, Elsevier, vol. 220(C).

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