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Reliability assessment for consecutive-k-out-of-n: F retrial systems under Poisson shocks

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  • Li, Mingjia
  • Hu, Linmin
  • Wu, Shaomin
  • Zhao, Bing
  • Wang, Yan

Abstract

This paper derives reliability indices of a linear consecutive-k-out-of-n: F system with retrial under Poisson shocks. The system fails if and only if at least k consecutive components from n components fail and is maintained by one repairman. When a component fails during the repairman’s unavailability, it will be waiting until the repairmen becomes available. The failure of a component may be caused by its intrinsic characteristics such as ageing and deterioration or extrinsic factors such as shocks. It is assumed that a component will fail once the magnitude of a shock is greater than a threshold. At any time, a component is at one of the three states: working, waiting for repair, and under repair. For some systems, we need to obtain reliability indices for practical use. Hence, this paper uses the Markov chain to model the transition between states and obtains several reliability indices. The parameter sensitivity of the system reliability indices is analysed with numerical experiments.

Suggested Citation

  • Li, Mingjia & Hu, Linmin & Wu, Shaomin & Zhao, Bing & Wang, Yan, 2023. "Reliability assessment for consecutive-k-out-of-n: F retrial systems under Poisson shocks," Applied Mathematics and Computation, Elsevier, vol. 448(C).
    • Handle: RePEc:eee:apmaco:v:448:y:2023:i:c:s0096300323000826
    DOI: 10.1016/j.amc.2023.127913
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    References listed on IDEAS

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    1. Ioannis S. Triantafyllou, 2020. "m -Consecutive- k -out-of- n : F Structures with a Single Change Point," Mathematics, MDPI, vol. 8(12), pages 1-14, December.
    2. Wang, Jun & Zhu, Xiaoyan, 2021. "Joint optimization of condition-based maintenance and inventory control for a k-out-of-n:F system of multi-state degrading components," European Journal of Operational Research, Elsevier, vol. 290(2), pages 514-529.
    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. Wu‐Lin Chen, 2018. "System reliability analysis of retrial machine repair systems with warm standbys and a single server of working breakdown and recovery policy," Systems Engineering, John Wiley & Sons, vol. 21(1), pages 59-69, January.
    5. Lyu, Dong & Si, Shubin, 2020. "Dynamic importance measure for the K-out-of-n: G system under repeated random load," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
    6. Wang, Dan & Si, Shubin & Cai, Zhiqiang & Zhao, Jiangbin, 2021. "Reliability optimization of linear consecutive-k-out-of-n: F systems driven by reconfigurable importance," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    7. Janani, B., 2022. "Transient Analysis of Differentiated Breakdown Model," Applied Mathematics and Computation, Elsevier, vol. 417(C).
    8. A. Krishnamoorthy & P. Ushakumari, 1999. "Reliability of ak-out-of-n system with repair and retrial of failed units," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 7(2), pages 293-304, December.
    9. Li, Mingjia & Hu, Linmin & Peng, Rui & Bai, Zhuoxin, 2021. "Reliability modeling for repairable circular consecutive-k-out-of-n: F systems with retrial feature," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    10. Dafnis, Spiros D. & Makri, Frosso S. & Philippou, Andreas N., 2019. "The reliability of a generalized consecutive system," Applied Mathematics and Computation, Elsevier, vol. 359(C), pages 186-193.
    11. Zhao, Xian & Wang, Siqi & Wang, Xiaoyue & Fan, Yu, 2020. "Multi-state balanced systems in a shock environment," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    12. Yang, Dong-Yuh & Tsao, Chih-Lung, 2019. "Reliability and availability analysis of standby systems with working vacations and retrial of failed components," Reliability Engineering and System Safety, Elsevier, vol. 182(C), pages 46-55.
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    1. Zhang, Changzhen & Yang, Jun & Li, Mingjia & Wang, Ning, 2024. "Reliability analysis of a two-dimensional linear consecutive-(r,s)-out-of-(m,n): F repairable system," Reliability Engineering and System Safety, Elsevier, vol. 242(C).

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