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Measuring Component Importance for Network System Using Cellular Automata

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  • Li He
  • Qiyan Cao
  • Fengjun Shang

Abstract

This paper concentrates on the component importance measure of a network whose arc failure rates are not deterministic and imprecise ones. Conventionally, a computing method of component importance and a measure method of reliability stability are proposed. Three metrics are analyzed first: Birnbaum measurement, component importance, and component risk growth factor. Based on them, the latter can measure the impact of the component importance on the reliability stability of a system. Examples in some typical structures illustrate how to calculate component importance and reliability stability, including uncertain random series, parallel, parallel-series, series-parallel, and bridge systems. The comprehensive numerical experiments demonstrate that both of these methods can efficiently and accurately evaluate the impact of an arc failure on the reliability of a network system.

Suggested Citation

  • Li He & Qiyan Cao & Fengjun Shang, 2019. "Measuring Component Importance for Network System Using Cellular Automata," Complexity, Hindawi, vol. 2019, pages 1-11, May.
    • Handle: RePEc:hin:complx:3971597
    DOI: 10.1155/2019/3971597
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    References listed on IDEAS

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    1. Zhu, Xiaoyan & Fu, Yuqiang & Yuan, Tao & Wu, Xinying, 2017. "Birnbaum importance based heuristics for multi-type component assignment problems," Reliability Engineering and System Safety, Elsevier, vol. 165(C), pages 209-221.
    2. Zhu, Jiandao & Collette, Matthew, 2015. "A dynamic discretization method for reliability inference in Dynamic Bayesian Networks," Reliability Engineering and System Safety, Elsevier, vol. 138(C), pages 242-252.
    3. Chanas, Stefan & Zielinski, Pawel, 2002. "The computational complexity of the criticality problems in a network with interval activity times," European Journal of Operational Research, Elsevier, vol. 136(3), pages 541-550, February.
    4. Wu, Shaomin & Chen, Yi & Wu, Qingtai & Wang, Zhonglai, 2016. "Linking component importance to optimisation of preventive maintenance policy," Reliability Engineering and System Safety, Elsevier, vol. 146(C), pages 26-32.
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    Cited by:

    1. Soni Bisht & Akshay Kumar & Nupur Goyal & Mangey Ram & Yury Klochkov, 2021. "Analysis of Network Reliability Characteristics and Importance of Components in a Communication Network," Mathematics, MDPI, vol. 9(12), pages 1-13, June.

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