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Availability analysis of k-out-of-n: F repairable balanced systems with m sectors

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  • Gao, Hongda
  • Cui, Lirong
  • Yi, He

Abstract

This paper considers a novel k-out-of-n: F repairable balanced system with m sectors. The characteristic of this balanced system is that the numbers of working components in the m sectors must keep the same at any time. Thus, some components should be shut down manually when the balance is broken. Specifically, two Markov repairable system models are proposed in this paper in terms of different restart mechanisms of shut down components. The excellent Markov process imbedding method is used to obtain the system reliabilities and availabilities. Phase-type (PH) distributions for the lifetime and repair time of the components in the first model are considered. For the second case of the second model, three different maintenance policies are proposed and their performances are compared through several numerical examples. To the best of our knowledge, the k-out-of-n: F repairable balanced system models proposed in the research of this paper are first reported in literature. Finally, numerical examples are given to illustrate the models and the approaches.

Suggested Citation

  • Gao, Hongda & Cui, Lirong & Yi, He, 2019. "Availability analysis of k-out-of-n: F repairable balanced systems with m sectors," Reliability Engineering and System Safety, Elsevier, vol. 191(C).
    • Handle: RePEc:eee:reensy:v:191:y:2019:i:c:s0951832018311013
    DOI: 10.1016/j.ress.2019.106572
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    References listed on IDEAS

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    1. Montoro-Cazorla, Delia & Pérez-Ocón, Rafael, 2006. "A deteriorating two-system with two repair modes and sojourn times phase-type distributed," Reliability Engineering and System Safety, Elsevier, vol. 91(1), pages 1-9.
    2. Cui, Lirong & Chen, Jianhui & Wu, Bei, 2017. "New interval availability indexes for Markov repairable systems," Reliability Engineering and System Safety, Elsevier, vol. 168(C), pages 12-17.
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    4. Yu, Miaomiao & Tang, Yinghui & Liu, Liping & Cheng, Jiang, 2013. "A phase-type geometric process repair model with spare device procurement and repairman’s multiple vacations," European Journal of Operational Research, Elsevier, vol. 225(2), pages 310-323.
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    7. Lirong Cui & Hongda Gao & Yuchang Mo, 2018. "Reliability for k-out-of-n:F balanced systems with m sectors," IISE Transactions, Taylor & Francis Journals, vol. 50(5), pages 381-393, May.
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    Cited by:

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    2. Lijun Shang & Baoliang Liu & Kaiye Gao & Li Yang, 2023. "Random Warranty and Replacement Models Customizing from the Perspective of Heterogeneity," Mathematics, MDPI, vol. 11(15), pages 1-22, July.
    3. Yangyao, Shi & Xinchen, Zhuang & Tianxiang, Yu & Zijian, Zhang, 2023. "Multi-state balance system reliability research considering load influence," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
    4. Zhao, Xian & Wang, Chen & Wang, Siqi, 2024. "Reliability analysis of multi-state balanced systems with standby components switching mechanism," Reliability Engineering and System Safety, Elsevier, vol. 242(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. Wang, Siqi & Zhao, Xian & Tian, Zhigang & Zuo, Ming J., 2021. "Optimum component reassignment for balanced systems with multi-state components operating in a shock environment," Reliability Engineering and System Safety, Elsevier, vol. 210(C).

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