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Evaluation of the availability and reliability of a standby repairable system incorporating imperfect switchovers and working breakdowns

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  • Yang, Dong-Yuh
  • Wu, Chia-Huang

Abstract

This study involves the evaluation of the availability and reliability of a repairable system containing warm standby components and undergoing switching failure under a Markovian environment. A single repairperson is responsible for repairing failed components. As soon as the system is free of failed components, the repairperson takes multiple vacations. The repairperson is also subject to breakdown while repairing failed components. When the repairperson experiences a breakdown, there is a probability of 1−δ that he/she is sent for recovery, or a probability of δ that he/she continues to work at a lower rate. For the Markov model, we establish a finite set of differential equations governing the repairable system. A numerical approach based on the Runge–Kutta method is employed to solve the differential equations. Numerical solutions for the time-dependent availability can then be obtained. For the reliability model, we use the Laplace transform method to find the explicit form of the reliability function and the mean time to failure (MTTF) of the system. Finally, we conduct a numerical sensitivity analysis of the time-dependent availability, system reliability and MTTF with respect to various system parameters.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:reensy:v:207:y:2021:i:c:s0951832020308553
    DOI: 10.1016/j.ress.2020.107366
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    References listed on IDEAS

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    Cited by:

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    2. 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).
    3. 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).
    4. 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).
    5. 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).
    6. 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).

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