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Importance measures for optimal structure in linear consecutive-k-out-of-n systems

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  • Dui, Hongyan
  • Si, Shubin
  • Yam, Richard C.M.

Abstract

Importance measures can describe which component reliability change is the most promising if the system structure can be easily changed. Recently, the Birnbaum importance for reconfigurable systems based on the constant reliability has been discussed. This importance shows that importance variation corresponds to the change in system optimal configuration. Traditionally, importance measures do not consider the possible change in a system structure throughout the system's lifetime. However, the possible optimal structural change and the system's lifetime should be considered in importance measures, which can describe the change of component importance with respect to the changes of the component sequencing in optimal system structure during the system lifetime. This paper studies the Birnbaum importance measure, integrated importance measure, and Mean Absolute Deviation with respect to the changes in optimal system structure throughout the system's lifetime. These measures provide useful information regarding the relationships between component reliability and importance measures with the changes in optimal system structure. Finally, examples of linear consecutive-k-out-of-n systems are used to illustrate the utilization of the proposed method.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:reensy:v:169:y:2018:i:c:p:339-350
    DOI: 10.1016/j.ress.2017.09.015
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    References listed on IDEAS

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    1. Si, Shubin & Levitin, Gregory & Dui, Hongyan & Sun, Shudong, 2014. "Importance analysis for reconfigurable systems," Reliability Engineering and System Safety, Elsevier, vol. 126(C), pages 72-80.
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    Cited by:

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    3. Dui, Hongyan & Li, Shumin & Xing, Liudong & Liu, Hanlin, 2019. "System performance-based joint importance analysis guided maintenance for repairable systems," Reliability Engineering and System Safety, Elsevier, vol. 186(C), pages 162-175.
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    5. Zhang, Chao & Chen, Rentong & Wang, Shaoping & Dui, Hongyan & Zhang, Yadong, 2022. "Resilience efficiency importance measure for the selection of a component maintenance strategy to improve system performance recovery," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    6. 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).
    7. Hongyan Dui & Xiaoqian Zheng & Jianjun Guo & Hui Xiao, 2022. "Importance measure-based resilience analysis of a wind power generation system," Journal of Risk and Reliability, , vol. 236(3), pages 395-405, June.
    8. Ning Wang & Hailun Zhang & Ruoning Lv & Yangming Guo & Peican Zhu, 2022. "An investigation of reliability optimization in standby systems," Journal of Risk and Reliability, , vol. 236(2), pages 237-247, April.
    9. Dui, Hongyan & Zheng, Xiaoqian & Wu, Shaomin, 2021. "Resilience analysis of maritime transportation systems based on importance measures," Reliability Engineering and System Safety, Elsevier, vol. 209(C).
    10. Tian-yuan, Ye & Lin-lin, Liu & He-wei, Pang & Yuan-zi, Zhou, 2023. "Bayesian Networks based approach to enhance GO methodology for reliability modeling of multi-state consecutive-k-out-of-n: F system," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    11. Eryilmaz, Serkan, 2020. "Age-based preventive maintenance for coherent systems with applications to consecutive-k-out-of-n and related systems," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
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    13. Lu, Shaoqi & Shi, Daimin & Xiao, Hui, 2019. "Reliability of sliding window systems with two failure modes," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 366-376.
    14. Dui, Hongyan & Zhang, Chi & Bai, Guanghan & Chen, Liwei, 2021. "Mission reliability modeling of UAV swarm and its structure optimization based on importance measure," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    15. 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).
    16. Zhao, Fei & Peng, Rui & Zhang, Nan, 2023. "Inspection policy optimization for a k-out-of-n/Cl(k′,n′;F) system considering failure dependence: a case study," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    17. 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).
    18. Xiao, Hui & Zhang, Yiyun & Xiang, Yisha & Peng, Rui, 2020. "Optimal design of a linear sliding window system with consideration of performance sharing," Reliability Engineering and System Safety, Elsevier, vol. 198(C).
    19. Zhang, Chao & Xu, Xin & Dui, Hongyan, 2020. "Resilience Measure of Network Systems by Node and Edge Indicators," Reliability Engineering and System Safety, Elsevier, vol. 202(C).
    20. Zhao, Jiangbin & Si, Shubin & Cai, Zhiqiang & Guo, Peng & Zhu, Wenjin, 2020. "Mission success probability optimization for phased-mission systems with repairable component modules," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
    21. Vaisman, Radislav & Sun, Yuting, 2021. "Reliability and importance measure analysis of networks with shared risk link groups," Reliability Engineering and System Safety, Elsevier, vol. 211(C).
    22. Ma, Chenyang & Wang, Qiyu & Cai, Zhiqiang & Si, Shubin & Zhao, Jiangbin, 2021. "Component reassignment for reliability optimization of reconfigurable systems considering component degradation," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    23. Dui, Hongyan & Wu, Shaomin & Zhao, Jiangbin, 2021. "Some extensions of the component maintenance priority," Reliability Engineering and System Safety, Elsevier, vol. 214(C).
    24. Dui, Hongyan & Tian, Tianzi & Zhao, Jiangbin & Wu, Shaomin, 2022. "Comparing with the joint importance under consideration of consecutive-k-out-of-n system structure changes," Reliability Engineering and System Safety, Elsevier, vol. 219(C).
    25. Wang, Yan & Hu, Linmin & Yang, Li & Li, Jing, 2022. "Reliability modeling and analysis for linear consecutive-k-out-of-n: F retrial systems with two maintenance activities," Reliability Engineering and System Safety, Elsevier, vol. 226(C).

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