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Reliability analysis of a multi-component machining system with service interruption, imperfect coverage, and reboot

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  • Kumar, Pankaj
  • Jain, Madhu

Abstract

In this study, the reliability and queueing characteristics of the fault-tolerant system (FTS) with unreliable server, vacation, and working breakdown are investigated. The performance metrics of FTS having L on-line and W warm standby machines are derived by incorporating the impact of recovery failure along with reboot process. If the failures/faults in the system are not covered successfully due to imperfect switching, the system reconfigures automatically by rebooting to clear the faults. It is assumed that when there is no failed machine in the system, the idle server can take a vacation and return as soon as a unit fails and requires repair. The failed units of FTS are repaired by a single failure-prone operator who can provide the repair with a slower rate in the partially failed state also. To develop Markov model, Chapman-Kolmogorov equations are framed for the system states, and transient probabilities are obtained by computing eigenvalues of transition matrix and using a spectral method. The queueing and reliability metrics are established to explore the redundancy and maintainability issues for the up-gradation of system design. By taking an illustration, numerical results for performance metrics and cost optimization are presented to examine the variation in system parameters.

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  • 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).
    • Handle: RePEc:eee:reensy:v:202:y:2020:i:c:s0951832020304920
    DOI: 10.1016/j.ress.2020.106991
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    References listed on IDEAS

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    2. 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).
    3. 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).
    4. 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).
    5. Subhi Tyagi & Nupur Goyal & Akshay Kumar & Mangey Ram, 2022. "Stochastic hybrid energy system modelling with component failure and repair," 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. 13(2), pages 842-852, June.
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    8. Yangfan Li & Yingjie Zhang & Ning An, 2024. "Accuracy reliability analysis of CNC machine tools considering manufacturing errors degrees," Journal of Risk and Reliability, , vol. 238(3), pages 643-653, June.
    9. Zhou, Siwei & Ye, Luyao & Xiong, Shengwu & Xiang, Jianwen, 2022. "Reliability analysis of dynamic fault trees with Priority-AND gates based on irrelevance coverage model," Reliability Engineering and System Safety, Elsevier, vol. 224(C).
    10. Gao, Shan, 2023. "Reliability analysis and optimization for a redundant system with dependent failures and variable repair rates," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 208(C), pages 637-659.
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    12. 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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