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Robustness of networks against cascading failures

Author

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  • Dou, Bing-Lin
  • Wang, Xue-Guang
  • Zhang, Shi-Yong

Abstract

Inspired by other related works, this paper proposes a non-linear load-capacity model against cascading failures, which is more suitable for real networks. The simulation was executed on the B-A scale-free network, E-R random network, Internet AS level network, and the power grid of the western United States. The results show that the model is feasible and effective. By studying the relationship between network cost and robustness, we find that the model can defend against cascading failures better and requires a lower investment cost when higher robustness is required.

Suggested Citation

  • Dou, Bing-Lin & Wang, Xue-Guang & Zhang, Shi-Yong, 2010. "Robustness of networks against cascading failures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(11), pages 2310-2317.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:11:p:2310-2317
    DOI: 10.1016/j.physa.2010.02.002
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    Citations

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    Cited by:

    1. Laure Rousset & César Ducruet, 2020. "Disruptions in Spatial Networks: a Comparative Study of Major Shocks Affecting Ports and Shipping Patterns," Post-Print halshs-02588551, HAL.
    2. Batool, Attia & Pál, Gergő & Danku, Zsuzsa & Kun, Ferenc, 2022. "Transition from localized to mean field behaviour of cascading failures in the fiber bundle model on complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    3. Zhu, Qian & Zhu, Zhiliang & Qi, Yi & Yu, Hai & Xu, Yanjie, 2018. "Optimization of cascading failure on complex network based on NNIA," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 501(C), pages 42-51.
    4. Jin, Kun & Wang, Wei & Li, Xinran & Chen, Siyuan & Qin, Shaoyang & Hua, Xuedong, 2023. "Cascading failure in urban rail transit network considering demand variation and time delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).
    5. 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).
    6. Laure Rousset & César Ducruet, 2020. "Disruptions in Spatial Networks: a Comparative Study of Major Shocks Affecting Ports and Shipping Patterns," Networks and Spatial Economics, Springer, vol. 20(2), pages 423-447, June.
    7. Liang, Yuanyuan & Xia, Yongxiang & Yang, Xu-Hua, 2022. "Hybrid-radius spatial network model and its robustness analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 591(C).
    8. Jing, Ke & Du, Xinru & Shen, Lixin & Tang, Liang, 2019. "Robustness of complex networks: Cascading failure mechanism by considering the characteristics of time delay and recovery strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    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. Cumelles, Joel & Lordan, Oriol & Sallan, Jose M., 2021. "Cascading failures in airport networks," Journal of Air Transport Management, Elsevier, vol. 92(C).
    11. Wang, Kai & Zhang, Bu-han & Zhang, Zhe & Yin, Xiang-gen & Wang, Bo, 2011. "An electrical betweenness approach for vulnerability assessment of power grids considering the capacity of generators and load," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4692-4701.
    12. Saniee Monfared, Momhammad Ali & Jalili, Mahdi & Alipour, Zohreh, 2014. "Topology and vulnerability of the Iranian power grid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 406(C), pages 24-33.
    13. Yi, Chengqi & Bao, Yuanyuan & Jiang, Jingchi & Xue, Yibo, 2015. "Modeling cascading failures with the crisis of trust in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 256-271.
    14. 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).
    15. Peng, Xingzhao & Yao, Hong & Du, Jun & Wang, Zhe & Ding, Chao, 2015. "Invulnerability of scale-free network against critical node failures based on a renewed cascading failure model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 69-77.
    16. 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).
    17. 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.
    18. Gao, Yanli & Liang, Chongsheng & Zhou, Jie & Chen, Shiming, 2023. "Robustness optimization of aviation-high-speed rail coupling network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 610(C).
    19. Jin, Kun & Wang, Wei & Li, Xinran & Hua, Xuedong & Chen, Siyuan & Qin, Shaoyang, 2022. "Identifying the critical road combination in urban roads network under multiple disruption scenarios," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).

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