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Optimization of cascading failure on complex network based on NNIA

Author

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  • Zhu, Qian
  • Zhu, Zhiliang
  • Qi, Yi
  • Yu, Hai
  • Xu, Yanjie

Abstract

Recently, the robustness of networks under cascading failure has attracted extensive attention. Different from previous studies, we concentrate on how to improve the robustness of the networks from the perspective of intelligent optimization. We establish two multi-objective optimization models that comprehensively consider the operational cost of the edges in the networks and the robustness of the networks. The NNIA (Non-dominated Neighbor Immune Algorithm) is applied to solve the optimization models. We finished simulations of the Barabási–Albert (BA) network and Erdös–Rényi (ER) network. In the solutions, we find the edges that can facilitate the propagation of cascading failure and the edges that can suppress the propagation of cascading failure. From the conclusions, we take optimal protection measures to weaken the damage caused by cascading failures. We also consider actual situations of operational cost feasibility of the edges. People can make a more practical choice based on the operational cost. Our work will be helpful in the design of highly robust networks or improvement of the robustness of networks in the future.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:phsmap:v:501:y:2018:i:c:p:42-51
    DOI: 10.1016/j.physa.2018.02.138
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    References listed on IDEAS

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    Cited by:

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    2. Qi, Xiaogang & Yang, Guizhen & Liu, Lifang, 2020. "Robustness analysis of the networks in cascading failures with controllable parameters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 539(C).
    3. Kashin Sugishita & Yasuo Asakura, 2021. "Vulnerability studies in the fields of transportation and complex networks: a citation network analysis," Public Transport, Springer, vol. 13(1), pages 1-34, March.
    4. Shen, Yi & Ren, Gang & Zhang, Ning & Song, Guohao & Wang, Qin & Ran, Bin, 2020. "Effects of mutual traffic redistribution on robustness of interdependent networks to cascading failures under fluctuant load," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 560(C).
    5. 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).

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