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Abnormal cascading dynamics based on the perspective of road impedance

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  • Wang, Jianwei
  • Zhao, Naixuan
  • Xiang, Linghui
  • Wang, Chupei

Abstract

In real life, we can find that people have some preferences when choosing routes. For example, roads with short travel time and high quality will be favored. Therefore, we introduced the concept of road impedance from the field of transportation to measure the influence of those preferences. Then, we propose a new method to define the amount of load flowing on every edge and construct a new model to simulate the dynamic process of cascading failures caused by load fluctuations after the network is disturbed. By simulating our model in three real traffic networks, we find the following phenomena and rules: First, when the flowing loads in the network have a bias, they will naturally gather on the edges with high attraction. This clustering phenomenon reduces the network robustness. Second, small-world networks are more vulnerable as loads will more easily reach the edges with high attraction. Third, the increase of edge capability decreases the robustness of the network in some cases. Through the study of a small artificial network, we find that the resurrection of edges and the characteristics of those edges are the causes of this paradox.

Suggested Citation

  • Wang, Jianwei & Zhao, Naixuan & Xiang, Linghui & Wang, Chupei, 2023. "Abnormal cascading dynamics based on the perspective of road impedance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 627(C).
    • Handle: RePEc:eee:phsmap:v:627:y:2023:i:c:s0378437123006830
    DOI: 10.1016/j.physa.2023.129128
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Xue, Fei & Bompard, Ettore & Huang, Tao & Jiang, Lin & Lu, Shaofeng & Zhu, Huaiying, 2017. "Interrelation of structure and operational states in cascading failure of overloading lines in power grids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 482(C), pages 728-740.
    4. Chen, Shi-Ming & Xu, Yun-Fei & Nie, Sen, 2017. "Robustness of network controllability in cascading failure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 536-539.
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    Cited by:

    1. Changyou Xu & Gang Chen & Huabo Lu & Qiuxia Zhang & Zhengke Liu & Jing Bian, 2024. "Integrated Optimization of Production Scheduling and Haulage Route Planning in Open-Pit Mines," Mathematics, MDPI, vol. 12(13), pages 1-24, July.
    2. Wang, Jianwei & Li, Yiwen & He, Haofan & He, Rouye, 2024. "Abnormal cascading dynamics in transportation networks based on Gaussian distribution of load," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 654(C).

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