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Cost optimization and reliability analysis of fault tolerant system with service interruption and reboot

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  • Jain, Madhu
  • Kumar, Pankaj
  • Singh, Mayank
  • Gupta, Ritu

Abstract

Due to widespread usage in many real time systems, reliability modeling and cost optimization of fault tolerance system have drawn attention of the practitioners. The fault tolerance in these systems can be provided by the support of maintenance and redundant components that help in smooth operation of the system in spite of failure of some active components. This investigation deals with the performance modeling of a fault-tolerant system consisting of a finite number of active (online) and standby components. During the switching from active to standby, the recovery procedure is performed, which may be imperfect. In case of imperfect recovery, the system reboot takes place. The maintenance of all the components is managed by a repairman (server) which is subject to failure. When the server is interrupted for rendering the service, functioning does not get stopped due to the system switch-over from perfect working to working breakdown mode. The system works even when the server is on working vacation and performs repair jobs of the failed components. The machine repair model based on Markovian process is developed to derive the transient probabilities and other performance indices of the fault tolerant system using Laplace transforms and matrix analytical method. Using the direct search strategy and particle swarm optimization, the cost-benefit analysis is done. The optimal design of the control parameters for the fault-tolerant system are presented by framing a cost-effective ratio function. The model is examined computationally by performing the numerical simulation and cost optimization.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:reensy:v:249:y:2024:i:c:s0951832024003028
    DOI: 10.1016/j.ress.2024.110229
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    References listed on IDEAS

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    1. Yuan, Zixia & Xiong, Guojiang & Fu, Xiaofan & Mohamed, Ali Wagdy, 2023. "Improving fault tolerance in diagnosing power system failures with optimal hierarchical extreme learning machine," Reliability Engineering and System Safety, Elsevier, vol. 236(C).
    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.
    3. Yen, Tseng-Chang & Wang, Kuo-Hsiung, 2020. "Cost benefit analysis of four retrial systems with warm standby units and imperfect coverage," Reliability Engineering and System Safety, Elsevier, vol. 202(C).
    4. Huang, Shuang & Zhou, Chunjie & Yang, Lili & Qin, Yuanqing & Huang, Xiongfeng & Hu, Bowen, 2016. "Transient fault tolerant control for vehicle brake-by-wire systems," Reliability Engineering and System Safety, Elsevier, vol. 149(C), pages 148-163.
    5. 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).
    6. Liang, Qingzhu & Yang, Yinghao & Zhang, Hang & Peng, Changhong & Lu, Jianchao, 2022. "Analysis of simplification in Markov state-based models for reliability assessment of complex safety systems," Reliability Engineering and System Safety, Elsevier, vol. 221(C).
    7. Shekhar, Chandra & Kumar, Neeraj & Gupta, Amit & Kumar, Amit & Varshney, Shreekant, 2020. "Warm-spare provisioning computing network with switching failure, common cause failure, vacation interruption, and synchronized reneging," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
    8. 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).
    9. Gao, Shan & Wang, Jinting, 2021. "Reliability and availability analysis of a retrial system with mixed standbys and an unreliable repair facility," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    10. Juybari, Mohammad N. & Hamadani, Ali Zeinal & Ardakan, Mostafa Abouei, 2023. "Availability analysis and cost optimization of a repairable system with a mix of active and warm-standby components in a shock environment," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    11. 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).
    12. Liu, Baoliang & Cui, Lirong & Wen, Yanqing & Shen, Jingyuan, 2015. "A cold standby repairable system with working vacations and vacation interruption following Markovian arrival process," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 1-8.
    13. Jia Kang & Linmin Hu & Rui Peng & Yan Li & Ruiling Tian, 2023. "Availability and cost-benefit evaluation for a repairable retrial system with warm standbys and priority," Statistical Theory and Related Fields, Taylor & Francis Journals, vol. 7(2), pages 164-175, April.
    14. Wang, Guanjun & Peng, Rui & Xing, Liudong, 2018. "Reliability evaluation of unrepairable k-out-of-n: G systems with phased-mission requirements based on record values," Reliability Engineering and System Safety, Elsevier, vol. 178(C), pages 191-197.
    15. 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).
    16. 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.
    17. 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).
    18. Hsu, Ying-Lin & Lee, Ssu-Lang & Ke, Jau-Chuan, 2009. "A repairable system with imperfect coverage and reboot: Bayesian and asymptotic estimation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(7), pages 2227-2239.
    19. 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).
    20. 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.
    21. Yang, Dong-Yuh & Tsao, Chih-Lung, 2019. "Reliability and availability analysis of standby systems with working vacations and retrial of failed components," Reliability Engineering and System Safety, Elsevier, vol. 182(C), pages 46-55.
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