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Reliability analysis of a load sharing k-out-of-n:F degradation system with dependent competing failures

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  • Nezakati, Ensiyeh
  • Razmkhah, Mostafa

Abstract

This paper studies a load sharing k-out-of-n:F system such that its components degrade over time. Degradation of components causes dependent competing failures including soft and hard failures. After each failure, the extra workload redistributes on the surviving components and makes the change in distribution of degradation and hazard rate function of components. Furthermore, it makes a dependency property between the failure time of the components at consecutive stages of load sharing. Conditional distribution of the soft and hard failures as well as reliability function of the system are investigated. The maximum likelihood estimators of the unknown parameters and reliability function are also derived numerically. Moreover, a comprehensive example is presented to illustrate the proposed procedure in the paper. Finally, a simulation study is done and the parameter uncertainty problem is studied.

Suggested Citation

  • Nezakati, Ensiyeh & Razmkhah, Mostafa, 2020. "Reliability analysis of a load sharing k-out-of-n:F degradation system with dependent competing failures," Reliability Engineering and System Safety, Elsevier, vol. 203(C).
    • Handle: RePEc:eee:reensy:v:203:y:2020:i:c:s0951832020305779
    DOI: 10.1016/j.ress.2020.107076
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    References listed on IDEAS

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    1. Chanseok Park, 2010. "Parameter estimation for the reliability of load-sharing systems," IISE Transactions, Taylor & Francis Journals, vol. 42(10), pages 753-765.
    2. Levitin, Gregory & Amari, Suprasad V., 2009. "Optimal load distribution in series–parallel systems," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 254-260.
    3. Zhang, Nan & Fouladirad, Mitra & Barros, Anne, 2017. "Maintenance analysis of a two-component load-sharing system," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 67-74.
    4. Zhang, Jianchun & Zhao, Yu & Ma, Xiaobing, 2020. "Reliability modeling methods for load-sharing k-out-of-n system subject to discrete external load," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    5. Madhu Jain & Ritu Gupta, 2012. "Load sharing M-out of-N: G system with non-identical components subject to common cause failure," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 4(5), pages 586-605.
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    Citations

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    Cited by:

    1. Zhao, Yixin & Cai, Baoping & Kang, Henry Hooi-Siang & Liu, Yiliu, 2023. "Cascading failure analysis of multistate loading dependent systems with application in an overloading piping network," Reliability Engineering and System Safety, Elsevier, vol. 231(C).
    2. Saberzadeh, Zahra & Razmkhah, Mostafa & Amini, Mohammad, 2023. "Bayesian reliability analysis of complex k-out-of-n: â„“ systems under degradation performance," Reliability Engineering and System Safety, Elsevier, vol. 231(C).
    3. 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).
    4. Che, Haiyang & Zeng, Shengkui & Li, Kehui & Guo, Jianbin, 2022. "Reliability analysis of load-sharing man-machine systems subject to machine degradation, human errors, and random shocks," Reliability Engineering and System Safety, Elsevier, vol. 226(C).
    5. Vladimir Rykov & Olga Kochueva, 2023. "Preventive Maintenance of k -out-of- n System with Dependent Failures," Mathematics, MDPI, vol. 11(2), pages 1-17, January.
    6. Eslami Baladeh, Aliakbar & Taghipour, Sharareh, 2022. "Reliability optimization of dynamic k-out-of-n systems with competing failure modes," Reliability Engineering and System Safety, Elsevier, vol. 227(C).
    7. Zhao, Xian & Li, Ziyue & Wang, Xiaoyue & Guo, Bin, 2023. "Reliability of performance-based system containing multiple load-sharing subsystems with protective devices considering protection randomness," Reliability Engineering and System Safety, Elsevier, vol. 239(C).
    8. Saberzadeh, Zahra & Razmkhah, Mostafa, 2022. "Reliability of degrading complex systems with two dependent components per element," Reliability Engineering and System Safety, Elsevier, vol. 222(C).

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