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Robustness of complex networks to cascading failures induced by Poisson fluctuating loads

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  • Li, Zhenpeng
  • Tang, Xijin

Abstract

Considering the fact that overload failures in real-world functional networks are usually caused by extreme values of temporally fluctuating loads that exceed the allowable range, we study the robustness of complex networks against cascading overload failures in such situation. In our model, at each cascading step the fluctuating load on a network is described by the total number of walkers, which is a random number that subjects to Poisson distribution. And a node fails when its overload probability is beyond its risk tolerance. Relative size of the giant component as a function of the cascade step is used to assess the robustness of networks against cascading overload.

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  • Li, Zhenpeng & Tang, Xijin, 2019. "Robustness of complex networks to cascading failures induced by Poisson fluctuating loads," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    • Handle: RePEc:eee:phsmap:v:536:y:2019:i:c:s0378437119304492
    DOI: 10.1016/j.physa.2019.04.084
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    Cited by:

    1. Wu, Yipeng & Chen, Zhilong & Zhao, Xudong & Liu, Ying & Zhang, Ping & Liu, Yajiao, 2021. "Robust analysis of cascading failures in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 583(C).
    2. Tu, Haicheng & Xia, Yongxiang & Chen, Xi, 2022. "Vulnerability analysis of cyber physical systems under the false alarm cyber attacks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 599(C).
    3. Su Liu & Chengshuang YIN & Dingjun Chen & Shaoquan Ni, 2020. "Modelling and impact analysis of interdependent characteristics on cascading overload failure of syncretic railway networks," PLOS ONE, Public Library of Science, vol. 15(9), pages 1-16, September.
    4. Shen, Yi & Yang, Huang & Xie, Yuangcheng & Liu, Yang & Ren, Gang, 2023. "Adaptive robustness optimization against network cascading congestion induced by fluctuant load via a bilateral-adaptive strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).
    5. Wang, Tao & Cheng, Heming & Wang, Xiaoxia, 2020. "A link addition method based on uniformity of node degree in interdependent power grids and communication networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 560(C).

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