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Modeling cascading failures in congested complex networks

Author

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  • Zheng, Jian-Feng
  • Gao, Zi-You
  • Zhao, Xiao-Mei

Abstract

Cascading failures occur commonly in congested complex networks, where it may be expressed as the process of generation, diffusion and dissipation of congestion. Different from betweeness centrality, we introduce congestion effects to determine the load on the node. In terms of user equilibrium condition, congestion effects can be described by cost functions or link performance functions, which map link flows to travel times. By introducing conceptual “practical capacity” dynamics to cost functions, cascading failures are well discussed in terms of the degree of congestion in complex networks. Moreover, the efficiency dynamics of the network due to cascading failures is also investigated, and a transition phenomenon is uncovered independent of clustering effect.

Suggested Citation

  • Zheng, Jian-Feng & Gao, Zi-You & Zhao, Xiao-Mei, 2007. "Modeling cascading failures in congested complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(2), pages 700-706.
    • Handle: RePEc:eee:phsmap:v:385:y:2007:i:2:p:700-706
    DOI: 10.1016/j.physa.2007.07.031
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    Citations

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    Cited by:

    1. Wu, Yipeng & Chen, Zhilong & Zhao, Xudong & Gong, Huadong & Su, Xiaochao & Chen, Yicun, 2021. "Propagation model of cascading failure based on discrete dynamical system," Reliability Engineering and System Safety, Elsevier, vol. 209(C).
    2. Zhang, Jianhua & Shao, Wenchao & Yang, Liqiang & Zhao, Xun & Liu, Weizhi, 2023. "Robustness assessments of urban rail transit networks based on user equilibrium with time compensation mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 613(C).
    3. Kizhakkedath, A. & Tai, K., 2021. "Vulnerability analysis of critical infrastructure network," International Journal of Critical Infrastructure Protection, Elsevier, vol. 35(C).
    4. Ren, Hai-Peng & Song, Jihong & Yang, Rong & Baptista, Murilo S. & Grebogi, Celso, 2016. "Cascade failure analysis of power grid using new load distribution law and node removal rule," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 239-251.
    5. Fei Ma & Fei Liu & Kum Fai Yuen & Polin Lai & Qipeng Sun & Xiaodan Li, 2019. "Cascading Failures and Vulnerability Evolution in Bus–Metro Complex Bilayer Networks under Rainstorm Weather Conditions," IJERPH, MDPI, vol. 16(3), pages 1-30, January.
    6. Yang Yong & Xu Kaijun & Xiang Honghui, 2019. "Analysis on Chinese Airline Network Invulnerability," Journal of Systems Science and Information, De Gruyter, vol. 7(4), pages 359-372, August.
    7. Tan, Huaiyu & He, Zhixue & Du, Chunpeng & Shi, Lei, 2023. "Fast-response and low-tolerance promotes cooperation in cascading system collapse," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    8. Liming Zhang & Ming Cai & Yingxin Zhang & Shuai Wang & Yao Xiao, 2024. "Two-layer network evolutionary game model applied to complex systems," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(11), pages 1-17, November.
    9. Al-Takrouri, Saleh & Savkin, Andrey V., 2013. "A decentralized flow redistribution algorithm for avoiding cascaded failures in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(23), pages 6135-6145.
    10. 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).

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