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Reliability evaluation of consecutive k-out-of-m: F balanced systems with a symmetry line

Author

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  • Chen Fang
  • Lirong Cui

Abstract

Based on some real backgrounds, a new balanced system structure, a consecutive k -out-of- m : F system with a symmetry line, is proposed in this paper. Considering different state numbers of a subsector, the new balanced system is analyzed under two situations respectively: the subsector with binary-state and the subsector with multi-state, while the multi-state balanced systems have not been studied in the previous research. Besides, two models are developed in terms of assumptions for the two situations, respectively. For this system, several methods, such as the finite Markov chain imbedding approach, the order statistics technique and the phase-type distributions, are used on the models. In addition to system reliability formulas, the means and variances of the system lifetimes under two models for different situations are given. Finally, numerical examples are presented to illustrate the results obtained in this paper.

Suggested Citation

  • Chen Fang & Lirong Cui, 2022. "Reliability evaluation of consecutive k-out-of-m: F balanced systems with a symmetry line," Journal of Risk and Reliability, , vol. 236(5), pages 816-827, October.
    • Handle: RePEc:sae:risrel:v:236:y:2022:i:5:p:816-827
    DOI: 10.1177/1748006X211038112
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    References listed on IDEAS

    as
    1. Fang, Chen & Cui, Lirong, 2020. "Reliability analysis for balanced engine systems with m sectors by considering start-up probability," Reliability Engineering and System Safety, Elsevier, vol. 197(C).
    2. 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.
    3. Endharta, Alfonsus Julanto & Yun, Won Young & Ko, Young Myoung, 2018. "Reliability evaluation of circular k-out-of-n: G balanced systems through minimal path sets," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 226-236.
    4. Dingguo Hua & Elsayed A. Elsayed, 2018. "Reliability approximation of k-out-of-n pairs: G balanced systems with spatially distributed units," IISE Transactions, Taylor & Francis Journals, vol. 50(7), pages 616-626, July.
    5. Lirong Cui & Jianhui Chen & Xiangchen Li, 2019. "Balanced reliability systems under Markov processes," IISE Transactions, Taylor & Francis Journals, vol. 51(9), pages 1025-1035, September.
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    Cited by:

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    3. Xu, Dong & Tian, Yubin & Wang, Dianpeng & Shi, Junbiao, 2025. "Reliability analysis for a dynamic k-out-of-n system with thermal balance control," Reliability Engineering and System Safety, Elsevier, vol. 262(C).

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