IDEAS home Printed from https://ideas.repec.org/a/wut/journl/v33y2023i2p53-80id4.html
   My bibliography  Save this article

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

Author

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
    as

    Download full text from publisher

    File URL: https://ord.pwr.edu.pl/assets/papers_archive/ord2023vol33no2_4.pdf
    Download Restriction: no
    File URL: https://libkey.io/10.37190/ord230204?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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.
    7. 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).
    8. Hu, Bin & Seiler, Peter, 2015. "Pivotal decomposition for reliability analysis of fault tolerant control systems on unmanned aerial vehicles," Reliability Engineering and System Safety, Elsevier, vol. 140(C), pages 130-141.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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. Jain, Madhu & Kumar, Pankaj & Singh, Mayank & Gupta, Ritu, 2024. "Cost optimization and reliability analysis of fault tolerant system with service interruption and reboot," Reliability Engineering and System Safety, Elsevier, vol. 249(C).
    3. Qi Shao & Linmin Hu & Fan Xu, 2024. "Reliability and Optimization for k-out-of-n: G Mixed Standby Retrial System with Dependency and J-Vacation," Methodology and Computing in Applied Probability, Springer, vol. 26(1), pages 1-27, March.
    4. Wu, Hui & Li, Yan-Fu & Bérenguer, Christophe, 2020. "Optimal inspection and maintenance for a repairable k-out-of-n: G warm standby system," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    5. Zhou, Xinxin & Huang, Yun & Bai, Guanghan & Xu, Bei & Tao, Junyong, 2024. "The resilience evaluation of unmanned autonomous swarm with informed agents under partial failure," Reliability Engineering and System Safety, Elsevier, vol. 244(C).
    6. Wang, Kuo-Hsiung & Wu, Chia-Huang & Yen, Tseng-Chang, 2022. "Comparative cost-benefit analysis of four retrial systems with preventive maintenance and unreliable service station," Reliability Engineering and System Safety, Elsevier, vol. 221(C).
    7. Guo, Kai & Ye, Zhisheng & Liu, Datong & Peng, Xiyuan, 2021. "UAV flight control sensing enhancement with a data-driven adaptive fusion model," Reliability Engineering and System Safety, Elsevier, vol. 213(C).
    8. Chen, Ying & Li, Shumin & Kang, Rui, 2021. "Epistemic uncertainty quantification via uncertainty theory in the reliability evaluation of a system with failure Trigger effect," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    9. Wang, Xiaoyue & Ning, Ru & Zhao, Xian & Wu, Congshan, 2023. "Reliability assessments for two types of balanced systems with multi-state protective devices," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    10. Gao, Shan & Wang, Jinting & Zhang, Jie, 2023. "Reliability analysis of a redundant series system with common cause failures and delayed vacation," Reliability Engineering and System Safety, Elsevier, vol. 239(C).
    11. Dui, Hongyan & Zhang, Chi & Bai, Guanghan & Chen, Liwei, 2021. "Mission reliability modeling of UAV swarm and its structure optimization based on importance measure," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    12. Chen, Ying & Wang, Yanfang & Li, Shumin & Kang, Rui, 2023. "Hybrid uncertainty quantification of dependent competing failure process with chance theory," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    13. 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).
    14. Shi, Haohao & Zhang, Ji & Zio, Enrico & Zhao, Xufeng, 2023. "Opportunistic maintenance policies for multi-machine production systems with quality and availability improvement," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
    15. Kumar, Pankaj & Jain, Madhu, 2020. "Reliability analysis of a multi-component machining system with service interruption, imperfect coverage, and reboot," Reliability Engineering and System Safety, Elsevier, vol. 202(C).
    16. Xia, Weifu & Wang, Yanhui & Hao, Yucheng & He, Zhichao & Yan, Kai & Zhao, Fan, 2024. "Reliability analysis for complex electromechanical multi-state systems utilizing universal generating function techniques," Reliability Engineering and System Safety, Elsevier, vol. 244(C).
    17. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Heterogeneous 1-out-of-n standby systems with limited unit operation time," Reliability Engineering and System Safety, Elsevier, vol. 224(C).
    18. Wang, Yan & Hu, Linmin & Yang, Li & Li, Jing, 2022. "Reliability modeling and analysis for linear consecutive-k-out-of-n: F retrial systems with two maintenance activities," Reliability Engineering and System Safety, Elsevier, vol. 226(C).
    19. Pol, Johannes C. & Kindermann, Paulina & van der Krogt, Mark G. & van Bergeijk, Vera M. & Remmerswaal, Guido & Kanning, Willem & Jonkman, Sebastiaan N. & Kok, Matthijs, 2023. "The effect of interactions between failure mechanisms on the reliability of flood defenses," Reliability Engineering and System Safety, Elsevier, vol. 231(C).
    20. Wu, Chia-Huang & Yen, Tseng-Chang & Wang, Kuo-Hsiung, 2021. "Availability and Comparison of Four Retrial Systems with Imperfect Coverage and General Repair Times," Reliability Engineering and System Safety, Elsevier, vol. 212(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wut:journl:v:33:y:2023:i:2:p:53-80:id:4. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Adam Kasperski (email available below). General contact details of provider: https://edirc.repec.org/data/iopwrpl.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.