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Availability of K-out-of-N:G systems with non-identical components subject to repair priorities

Author

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  • Khatab, A.
  • Nahas, N.
  • Nourelfath, M.

Abstract

In this paper, a K-out-of-N:G system with N categories of components is studied. Each component category is characterized by its own failure and repair rates. There are R repair facilities, and repair priorities are specified between the N non-identical components. An algorithm for automatic construction of the system state transition diagram is presented. The stationary availability of each component and that of the system are evaluated by using a multi-dimensional Markov model. We show how this model can be represented as a network of stochastic automata with state-dependent transitions that can be implemented via generalized tensor (or Kronecker) algebra. For the efficiency assessment, an analog Monte Carlo simulation model is developed. Experiments are then conducted and simulation results are compared to those obtained by the proposed approach.

Suggested Citation

  • Khatab, A. & Nahas, N. & Nourelfath, M., 2009. "Availability of K-out-of-N:G systems with non-identical components subject to repair priorities," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 142-151.
    • Handle: RePEc:eee:reensy:v:94:y:2009:i:2:p:142-151
    DOI: 10.1016/j.ress.2008.02.017
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    References listed on IDEAS

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    1. van der Heijden, M. C. & Schornagel, A., 1988. "Interval uneffectiveness distribution for a k-out-of-n multistate reliability system with repair," European Journal of Operational Research, Elsevier, vol. 36(1), pages 66-77, July.
    2. Zhang, Tieling & Xie, Min & Horigome, Michio, 2006. "Availability and reliability of k-out-of-(M+N):G warm standby systems," Reliability Engineering and System Safety, Elsevier, vol. 91(4), pages 381-387.
    3. Li, Xiaohu & Zuo, Ming J. & Yam, Richard C.M., 2006. "Reliability analysis of a repairable k-out-of-n system with some components being suspended when the system is down," Reliability Engineering and System Safety, Elsevier, vol. 91(3), pages 305-310.
    4. Barron, Yonit & Frostig, Esther & Levikson, Benny, 2006. "Analysis of R out of N systems with several repairmen, exponential life times and phase type repair times: An algorithmic approach," European Journal of Operational Research, Elsevier, vol. 169(1), pages 202-225, February.
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    Cited by:

    1. Diallo, Claver & Venkatadri, Uday & Khatab, Abdelhakim & Liu, Zhuojun, 2018. "Optimal selective maintenance decisions for large serial k-out-of-n: G systems under imperfect maintenance," Reliability Engineering and System Safety, Elsevier, vol. 175(C), pages 234-245.
    2. Moghaddass, Ramin & Zuo, Ming J. & Wang, Wenbin, 2011. "Availability of a general k-out-of-n:G system with non-identical components considering shut-off rules using quasi-birth–death process," Reliability Engineering and System Safety, Elsevier, vol. 96(4), pages 489-496.
    3. Wang, Naichao & Li, Mingyuan & Xiao, Boping & Ma, Lin, 2019. "Availability analysis of a general time distribution system with the consideration of maintenance and spares," Reliability Engineering and System Safety, Elsevier, vol. 192(C).
    4. Redutskiy, Yury & Camitz-Leidland, Cecilie M. & Vysochyna, Anastasiia & Anderson, Kristanna T. & Balycheva, Marina, 2021. "Safety systems for the oil and gas industrial facilities: Design, maintenance policy choice, and crew scheduling," Reliability Engineering and System Safety, Elsevier, vol. 210(C).
    5. Guo, Linhan & Li, Ruiyang & Wang, Yu & Yang, Jun & Liu, Yu & Chen, Yiming & Zhang, Jianguo, 2023. "Availability for multi-component k-out-of-n: G warm-standby system in series with shut-off rule of suspended animation," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
    6. 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.

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