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Reliability analysis of N-policy vacation based FTC system subject to standby switching failures

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Listed:
  • Sudeep Kumar
  • Ritu Gupta

Abstract

The paper is aimed to investigate the reliability metrics of a multi-unit fault-tolerant control (FTC) system wherein the units are subject to failure and those are repairable by two heterogeneous servers. Server 1 remains permanently available for essential service of failed units, whereas server 2 goes on vacation and renders service based on the N-policy threshold, which may also provide optional and essential services. Server 1 may break down at a steady rate during its servicing period but immediately gets repaired and resume servicing the failed units. When the working unit fails, the available warm standby unit holds responsibility for the smooth operation of the system. The transition of standby units to operational mode may be unsuccessful with switching failure probability. We develop a Markovian model to obtain the steady-state probabilities. We explore computational and sensitivity analysis of different performance measures for various variability of the parameters.

Suggested Citation

  • Sudeep Kumar & Ritu Gupta, 2023. "Reliability analysis of N-policy vacation based FTC system subject to standby switching failures," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 33(2), pages 53-80.
    • Handle: RePEc:wut:journl:v:33:y:2023:i:2:p:53-80:id:4
    DOI: 10.37190/ord230204
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    References listed on IDEAS

    as
    1. He, Gang & Wu, Wenqing & Zhang, Yuanyuan, 2018. "Analysis of a multi-component system with failure dependency, N-policy and vacations," Operations Research Perspectives, Elsevier, vol. 5(C), pages 191-198.
    2. Ritu Gupta & Divya Agarwal, 2021. "Cost analysis of N-policy vacation machine repair problem with optional repair," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 19(3), pages 354-374.
    3. Fang, Jiayue & Kang, Rui & Chen, Ying, 2021. "Reliability evaluation of non-repairable systems with failure mechanism trigger effect," Reliability Engineering and System Safety, Elsevier, vol. 210(C).
    4. Kamlesh Kumar & Madhu Jain, 2013. "Threshold N-policy for (M, m) degraded machining system with K-heterogeneous servers, standby switching failure and multiple vacations," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 5(4), pages 423-445.
    5. Anamika Jain & Madhu Jain, 2017. "Multi server machine repair problem with unreliable server and two types of spares under asynchronous vacation policy," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 10(3), pages 286-315.
    6. Madhu Jain & Ritu Gupta, 2018. "N-policy for redundant repairable system with multiple types of warm standbys with switching failure and vacation," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 13(4), pages 419-449.
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    Citations

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    Cited by:

    1. Chahal, Parmeet Kaur & Kumar, Kamlesh & Soodan, Bhavneet Singh, 2024. "Grey wolf algorithm for cost optimization of cloud computing repairable system with N-policy, discouragement and two-level Bernoulli feedback," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 225(C), pages 545-569.
    2. Lidiya P & K Julia Rose Mary, 2024. "A study on the performance of a queuing system with heterogeneous arrivals and various types of breakdowns under multiple working vacations," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 34(4), pages 125-140.

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