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Reliability analysis of consecutive-k-out-of-r-from-n subsystems: F balanced systems with load sharing

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  • Wu, Congshan
  • Zhao, Xian
  • Wang, Siqi
  • Song, Yanbo

Abstract

In this paper, a consecutive-k-out-of-r-from-n subsystems: F balanced system with load sharing is proposed, which takes both linear and circular structures into consideration. Such a system has n subsystems and each subsystem consists of several sectors that have multiple components. Each subsystem should keep balance when it works and the concept of balance means that the number of working components should be the same in any sector belonging to the same subsystem. The system maintains balance by forcing down working components to standby or resuming standby components to operate. The failure or standby of a component will result in a higher load on each remaining working component, thereby inducing a higher hazard rate for them. The whole system fails if it contains a set of r consecutive subsystems in which at least k subsystems break down. The Markov process method and finite Markov chain imbedding approach are applied to analyze the system reliability. Numerical examples are presented to show the effectiveness of the studied model and proposed method.

Suggested Citation

  • Wu, Congshan & Zhao, Xian & Wang, Siqi & Song, Yanbo, 2022. "Reliability analysis of consecutive-k-out-of-r-from-n subsystems: F balanced systems with load sharing," Reliability Engineering and System Safety, Elsevier, vol. 228(C).
    • Handle: RePEc:eee:reensy:v:228:y:2022:i:c:s0951832022003994
    DOI: 10.1016/j.ress.2022.108776
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    2. Oszczypała, Mateusz & Konwerski, Jakub & Ziółkowski, Jarosław & Małachowski, Jerzy, 2024. "Reliability analysis and redundancy optimization of k-out-of-n systems with random variable k using continuous time Markov chain and Monte Carlo simulation," Reliability Engineering and System Safety, Elsevier, vol. 242(C).
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    4. Yanbo Song & Xiaoyue Wang, 2022. "Reliability Analysis of the Multi-State k -out-of- n : F Systems with Multiple Operation Mechanisms," Mathematics, MDPI, vol. 10(23), pages 1-16, December.
    5. Wang, Siqi & Zhao, Xian & Wu, Congshan & Wang, Xiaoyue, 2023. "Joint optimization of multi-stage component reassignment and preventive maintenance for balanced systems considering imperfect maintenance," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    6. 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).
    7. Qin, Shuidan & Wang, Bing Xing & Tsai, Tzong-Ru & Wang, Xiaofei, 2023. "The prediction of remaining useful lifetime for the Weibull k-out-of-n load-sharing system," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
    8. Wu, Congshan & Pan, Rong & Zhao, Xian & Wang, Xiaoyue, 2024. "Designing preventive maintenance for multi-state systems with performance sharing," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    9. Zhao, Xian & Han, He & Jiao, Chunhui & Qiu, Qingan, 2024. "Reliability modeling of k-out-of-n: F balanced systems with common bus performance sharing," Reliability Engineering and System Safety, Elsevier, vol. 248(C).
    10. Gu, Liudong & Wang, Guanjun & Zhou, Yifan, 2024. "Optimal allocation of multi-state performance sharing systems with multiple common buses," Reliability Engineering and System Safety, Elsevier, vol. 247(C).

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