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Importance measure for K-out-of-n: G systems under dynamic random load considering strength degradation

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  • Lyu, Dong
  • Si, Shubin

Abstract

Taking the importance analysis of the compressor rotor system as an opportunity and combining the structural characteristics of the blade, this paper proposes a dynamic importance measure considering component strength degradation for the k-out-of-n: G system under dynamic random load. The k-out-of-n: G system consists of n components, and it works if and only if at least k components are functioning. As an effective analytical tool in the reliability field, the application of importance measures in critical equipment and complex systems is a problem worthy of study. Based on the stress-strength interference (SSI) model, the two most common degradation patterns are incorporated into the modeling of importance measure, i.e., the component strength degrades with the times of load action or degrades with time. The dynamic importance measure not only provides a continuous and dynamic analysis method for the computation of the component importance but also effectively reflects the effects of strength degradation, which will help to identify the weaknesses of systems comprehensively and accurately. A numerical case is presented to illustrate the application of the importance measure and shows some unique properties. Meanwhile, a Monte Carlo (MC) simulation method is developed to validate the results of the proposed importance measure.

Suggested Citation

  • Lyu, Dong & Si, Shubin, 2021. "Importance measure for K-out-of-n: G systems under dynamic random load considering strength degradation," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
  • Handle: RePEc:eee:reensy:v:216:y:2021:i:c:s0951832021004105
    DOI: 10.1016/j.ress.2021.107892
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    References listed on IDEAS

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    1. Dui, Hongyan & Si, Shubin & Yam, Richard C.M., 2017. "A cost-based integrated importance measure of system components for preventive maintenance," Reliability Engineering and System Safety, Elsevier, vol. 168(C), pages 98-104.
    2. Barlow, Richard E. & Proschan, Frank, 1975. "Importance of system components and fault tree events," Stochastic Processes and their Applications, Elsevier, vol. 3(2), pages 153-173, April.
    3. Vaurio, Jussi K., 2016. "Importances of components and events in non-coherent systems and risk models," Reliability Engineering and System Safety, Elsevier, vol. 147(C), pages 117-122.
    4. Li, Jian & Dueñas-Osorio, Leonardo & Chen, Changkun & Shi, Congling, 2017. "AC power flow importance measures considering multi-element failures," Reliability Engineering and System Safety, Elsevier, vol. 160(C), pages 89-97.
    5. Dui, Hongyan & Si, Shubin & Wu, Shaomin & Yam, Richard C.M., 2017. "An importance measure for multistate systems with external factors," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 49-57.
    6. Dui, Hongyan & Si, Shubin & Yam, Richard C.M., 2018. "Importance measures for optimal structure in linear consecutive-k-out-of-n systems," Reliability Engineering and System Safety, Elsevier, vol. 169(C), pages 339-350.
    7. Sakurahara, Tatsuya & Mohaghegh, Zahra & Reihani, Seyed & Kee, Ernie & Brandyberry, Mark & Rodgers, Shawn, 2018. "An integrated methodology for spatio-temporal incorporation of underlying failure mechanisms into fire probabilistic risk assessment of nuclear power plants," Reliability Engineering and System Safety, Elsevier, vol. 169(C), pages 242-257.
    8. Fu, Yuqiang & Yuan, Tao & Zhu, Xiaoyan, 2019. "Importance-measure based methods for component reassignment problem of degrading components," Reliability Engineering and System Safety, Elsevier, vol. 190(C), pages 1-1.
    9. Do, Phuc & Bérenguer, Christophe, 2020. "Conditional reliability-based importance measures," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    10. Kim, Taeyong & Song, Junho, 2018. "Generalized Reliability Importance Measure (GRIM) using Gaussian mixture," Reliability Engineering and System Safety, Elsevier, vol. 173(C), pages 105-115.
    11. Aliee, Hananeh & Borgonovo, Emanuele & Glaß, Michael & Teich, Jürgen, 2017. "On the Boolean extension of the Birnbaum importance to non-coherent systems," Reliability Engineering and System Safety, Elsevier, vol. 160(C), pages 191-200.
    12. Xu, Zhaoping & Ramirez-Marquez, Jose Emmanuel & Liu, Yu & Xiahou, Tangfan, 2020. "A new resilience-based component importance measure for multi-state networks," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    13. 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).
    14. Xie, Liyang & Wu, Ningxiang & Qian, Wenxue, 2016. "Time domain series system definition and gear set reliability modeling," Reliability Engineering and System Safety, Elsevier, vol. 155(C), pages 97-104.
    15. Wu, Xin-yang & Wu, Xiao-yue & Balakrishnan, Narayanaswamy, 2018. "Reliability allocation model and algorithm for phased mission systems with uncertain component parameters based on importance measure," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 266-276.
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    Cited by:

    1. Zhang, Chengjie & Qi, Faqun & Zhang, Ning & Li, Yong & Huang, Hongzhong, 2022. "Maintenance policy optimization for multi-component systems considering dynamic importance of components," Reliability Engineering and System Safety, Elsevier, vol. 226(C).
    2. Ma, Chengye & Du, Yongjun & Zhang, Yuchun & Cai, Zhiqiang, 2022. "Marginal and joint failure importance for K-terminal network edges under counting process," Reliability Engineering and System Safety, Elsevier, vol. 223(C).
    3. Liu, Mingli & Wang, Dan & Zhao, Jiangbin & Si, Shubin, 2022. "Importance measure construction and solving algorithm oriented to the cost-constrained reliability optimization model," Reliability Engineering and System Safety, Elsevier, vol. 222(C).

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