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Cascading failures on weighted urban traffic equilibrium networks

Author

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  • Wu, J.J.
  • Sun, H.J.
  • Gao, Z.Y.

Abstract

In this paper, we study the cascading failure on weighted urban traffic equilibrium networks by introducing a more practical flow assignment mechanism. The whole process including edges overloading to node malfunctioning, dynamic spanning clustering and the phase transitions trigged with O–D flow evolving is simulated. It is found that there are three districts: slow, fast and stationary (collapse for scale-free networks) cascading failure districts. And different topologies have large effects on the ranges of these districts. Simulations also show that, although the latter can support larger traffic flow, homogeneous networks appear to be more robust against cascading failures than heterogeneous ones.

Suggested Citation

  • Wu, J.J. & Sun, H.J. & Gao, Z.Y., 2007. "Cascading failures on weighted urban traffic equilibrium networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 386(1), pages 407-413.
  • Handle: RePEc:eee:phsmap:v:386:y:2007:i:1:p:407-413
    DOI: 10.1016/j.physa.2007.08.034
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    Citations

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    Cited by:

    1. Yucheng Hao & Limin Jia & Yanhui Wang & Zhichao He, 2021. "Modelling cascading failures in networks with the harmonic closeness," PLOS ONE, Public Library of Science, vol. 16(1), pages 1-14, January.
    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. Wang, Jianwei & Wang, Siyuan & Wang, Ziwei, 2022. "Robustness of spontaneous cascading dynamics driven by reachable area," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(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. Wang, Jianwei & Sun, Enhui & Xu, Bo & Li, Peng & Ni, Chengzhang, 2016. "Abnormal cascading failure spreading on complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 695-701.
    6. Wang, Jianwei & Cai, Lin & Xu, Bo & Li, Peng & Sun, Enhui & Zhu, Zhiguo, 2016. "Out of control: Fluctuation of cascading dynamics in networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 1231-1243.
    7. Jinxiao Duan & Guanwen Zeng & Nimrod Serok & Daqing Li & Efrat Blumenfeld Lieberthal & Hai-Jun Huang & Shlomo Havlin, 2023. "Spatiotemporal dynamics of traffic bottlenecks yields an early signal of heavy congestions," Nature Communications, Nature, vol. 14(1), pages 1-11, December.
    8. Shuang, Qing & Zhang, Mingyuan & Yuan, Yongbo, 2014. "Node vulnerability of water distribution networks under cascading failures," Reliability Engineering and System Safety, Elsevier, vol. 124(C), pages 132-141.
    9. Shen, Yi & Song, Guohao & Xu, Huangliang & Xie, Yuancheng, 2020. "Model of node traffic recovery behavior and cascading congestion analysis in networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    10. 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.
    11. Zhang, Lin & Wen, Huiying & Lu, Jian & Lei, Da & Li, Shubin & Ukkusuri, Satish V., 2022. "Exploring cascading reliability of multi-modal public transit network based on complex networks," Reliability Engineering and System Safety, Elsevier, vol. 221(C).
    12. Yuan, PengCheng & Juan, ZhiCai, 2013. "The related congestion failure estimating methodology and model in transportation networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4330-4344.
    13. Wang, Jianwei, 2013. "Mitigation strategies on scale-free networks against cascading failures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(9), pages 2257-2264.
    14. Lin Zhang & Jian Lu & Bai-bai Fu & Shu-bin Li, 2018. "A Review and Prospect for the Complexity and Resilience of Urban Public Transit Network Based on Complex Network Theory," Complexity, Hindawi, vol. 2018, pages 1-36, December.
    15. Xia, Yongxiang & Wang, Cong & Shen, Hui-Liang & Song, Hainan, 2020. "Cascading failures in spatial complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 559(C).
    16. Zhang, Yanlu & Yang, Naiding, 2013. "Research on robustness of R&D network under cascading propagation of risk with gray attack information," Reliability Engineering and System Safety, Elsevier, vol. 117(C), pages 1-8.
    17. 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).
    18. Zhu, Qian & Nie, Jianlong & Zhu, Zhiliang & Yu, Hai & Xue, Yang, 2018. "Modeling and analyzing cascading dynamics of the Internet based on local congestion information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 499(C), pages 298-309.
    19. 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.
    20. Perez, Yuri & Pereira, Fabio Henrique, 2021. "Simulation of traffic light disruptions in street networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 582(C).
    21. Yang, Qihui & Scoglio, Caterina M. & Gruenbacher, Don M., 2021. "Robustness of supply chain networks against underload cascading failures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 563(C).
    22. Zhang, Yanlu & Yang, Naiding, 2018. "Vulnerability analysis of interdependent R&D networks under risk cascading propagation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 1056-1068.
    23. Hao, Yucheng & Jia, Limin & Wang, Yanhui, 2020. "Robustness of weighted networks with the harmonic closeness against cascading failures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
    24. Wang, Ziqi & Pei, Yulong & Liu, Jing & Liu, Hehang, 2023. "Vulnerability analysis of urban road networks based on traffic situation," International Journal of Critical Infrastructure Protection, Elsevier, vol. 41(C).
    25. Zhang, Mengyao & Huang, Tao & Guo, Zhaoxia & He, Zhenggang, 2022. "Complex-network-based traffic network analysis and dynamics: A comprehensive review," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).

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