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Cascade phenomenon against subsequent failures in complex networks

Author

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  • Jiang, Zhong-Yuan
  • Liu, Zhi-Quan
  • He, Xuan
  • Ma, Jian-Feng

Abstract

Cascade phenomenon may lead to catastrophic disasters which extremely imperil the network safety or security in various complex systems such as communication networks, power grids, social networks and so on. In some flow-based networks, the load of failed nodes can be redistributed locally to their neighboring nodes to maximally preserve the traffic oscillations or large-scale cascading failures. However, in such local flow redistribution model, a small set of key nodes attacked subsequently can result in network collapse. Then it is a critical problem to effectively find the set of key nodes in the network. To our best knowledge, this work is the first to study this problem comprehensively. We first introduce the extra capacity for every node to put up with flow fluctuations from neighbors, and two extra capacity distributions including degree based distribution and average distribution are employed. Four heuristic key nodes discovering methods including High-Degree-First (HDF), Low-Degree-First (LDF), Random and Greedy Algorithms (GA) are presented. Extensive simulations are realized in both scale-free networks and random networks. The results show that the greedy algorithm can efficiently find the set of key nodes in both scale-free and random networks. Our work studies network robustness against cascading failures from a very novel perspective, and methods and results are very useful for network robustness evaluations and protections.

Suggested Citation

  • Jiang, Zhong-Yuan & Liu, Zhi-Quan & He, Xuan & Ma, Jian-Feng, 2018. "Cascade phenomenon against subsequent failures in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 499(C), pages 472-480.
    • Handle: RePEc:eee:phsmap:v:499:y:2018:i:c:p:472-480
    DOI: 10.1016/j.physa.2018.02.071
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    References listed on IDEAS

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    1. Du, Wen-Bo & Zhou, Xing-Lian & Lordan, Oriol & Wang, Zhen & Zhao, Chen & Zhu, Yan-Bo, 2016. "Analysis of the Chinese Airline Network as multi-layer networks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 89(C), pages 108-116.
    2. Du, Wen-Bo & Gao, Yang & Liu, Chen & Zheng, Zheng & Wang, Zhen, 2015. "Adequate is better: particle swarm optimization with limited-information," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 832-838.
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    Citations

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    Cited by:

    1. Tian, Meng & Dong, Zhengcheng & Wang, Xianpei, 2021. "Reinforcement learning approach for robustness analysis of complex networks with incomplete information," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    2. Wu, Jiajing & You, Wei & Wu, Taocheng & Xia, Yongxiang, 2018. "Abnormal phenomenon in robustness of complex networks with heterogeneous node functions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 451-461.
    3. Di Zhang & Limin Jia & Jin Ning & Yujiang Ye & Hao Sun & Ruifeng Shi, 2023. "Power Grid Structure Performance Evaluation Based on Complex Network Cascade Failure Analysis," Energies, MDPI, vol. 16(2), pages 1-15, January.
    4. Wu, Taocheng & Wu, Jiajing & You, Wei, 2018. "Optimizing robustness of complex networks with heterogeneous node functions based on the Memetic Algorithm," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 511(C), pages 143-153.
    5. Jiang, Zhong-Yuan & Zeng, Yong & Liu, Zhi-Hong & Ma, Jian-Feng, 2019. "Identifying critical nodes’ group in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 121-132.
    6. 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).
    7. Zhang, Min & Wang, Xiaojuan & Jin, Lei & Song, Mei, 2021. "Cascade phenomenon in multilayer networks with dependence groups and hierarchical structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 581(C).
    8. Xu, Sheng & Xia, Yongxiang & Ouyang, Min, 2020. "Effect of resource allocation to the recovery of scale-free networks during cascading failures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    9. Wu, Jiajing & Fang, Biaoyan & Fang, Junyuan & Chen, Xi & Tse, Chi K., 2019. "Sequential topology recovery of complex power systems based on reinforcement learning," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    10. Tu, Haicheng & Gu, Fengqiang & Zhang, Xi & Xia, Yongxiang, 2023. "Robustness analysis of power system under sequential attacks with incomplete information," Reliability Engineering and System Safety, Elsevier, vol. 232(C).

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