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Attack robustness of cascading load model in interdependent networks

Author

Listed:
  • Jianwei Wang

    (School of Business Administration, Northeastern University, Shenyang 110819, P. R. China)

  • Yuedan Wu

    (School of Business Administration, Northeastern University, Shenyang 110819, P. R. China)

  • Yun Li

    (School of Business Administration, Northeastern University, Shenyang 110819, P. R. China)

Abstract

Considering the weight of a node and the coupled strength of two interdependent nodes in the different networks, we propose a method to assign the initial load of a node and construct a new cascading load model in the interdependent networks. Assuming that a node in one network will fail if its degree is 0 or its dependent node in the other network is removed from the network or the load on it exceeds its capacity, we study the influences of the assortative link (AL) and the disassortative link (DL) patterns between two networks on the robustness of the interdependent networks against cascading failures. For better evaluating the network robustness, from the local perspective of a node we present a new measure to qualify the network resiliency after targeted attacks. We show that the AL patterns between two networks can improve the robust level of the entire interdependent networks. Moreover, we obtain how to efficiently allocate the initial load and select some nodes to be protected so as to maximize the network robustness against cascading failures. In addition, we find that some nodes with the lower load are more likely to trigger the cascading propagation when the distribution of the load is more even, and also give the reasonable explanation. Our findings can help to design the robust interdependent networks and give the reasonable suggestion to optimize the allocation of the protection resources.

Suggested Citation

  • Jianwei Wang & Yuedan Wu & Yun Li, 2015. "Attack robustness of cascading load model in interdependent networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 26(03), pages 1-14.
    • Handle: RePEc:wsi:ijmpcx:v:26:y:2015:i:03:n:s0129183115500308
    DOI: 10.1142/S0129183115500308
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    Citations

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    Cited by:

    1. Dong, Shangjia & Wang, Haizhong & Mostafizi, Alireza & Song, Xuan, 2020. "A network-of-networks percolation analysis of cascading failures in spatially co-located road-sewer infrastructure networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 538(C).
    2. Cui, Pengshuai & Zhu, Peidong & Shao, Chengcheng & Xun, Peng, 2017. "Cascading failures in interdependent networks due to insufficient received support capability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 777-788.
    3. Su Liu & Chengshuang YIN & Dingjun Chen & Shaoquan Ni, 2020. "Modelling and impact analysis of interdependent characteristics on cascading overload failure of syncretic railway networks," PLOS ONE, Public Library of Science, vol. 15(9), pages 1-16, September.
    4. Zhang, Jiarui & Huang, Jian & Zhang, Zhongjie, 2023. "Analysis of the effect of node attack method on cascading failures in multi-layer directed networks," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    5. Li, Ruimeng & Yang, Naiding & Zhang, Yanlu & Liu, Hui & Zhang, Mingzhen, 2021. "Impacts of module–module aligned patterns on risk cascading propagation in complex product development (CPD) interdependent networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 564(C).
    6. Hausken, Kjell, 2017. "Defense and attack for interdependent systems," European Journal of Operational Research, Elsevier, vol. 256(2), pages 582-591.
    7. Cui, Pengshuai & Zhu, Peidong & Wang, Ke & Xun, Peng & Xia, Zhuoqun, 2018. "Enhancing robustness of interdependent network by adding connectivity and dependence links," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 497(C), pages 185-197.
    8. 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).
    9. Wang, Tao & Cheng, Heming & Wang, Xiaoxia, 2020. "A link addition method based on uniformity of node degree in interdependent power grids and communication networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 560(C).
    10. Bachmann, Ivana & Valdés, Valeria & Bustos-Jiménez, Javier & Bustos, Benjamin, 2022. "Effect of adding physical links on the robustness of the Internet modeled as a physical–logical interdependent network using simple strategies," International Journal of Critical Infrastructure Protection, Elsevier, vol. 36(C).
    11. Wang, Ning & Jin, Zi-Yang & Zhao, Jiao, 2021. "Cascading failures of overload behaviors on interdependent networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 574(C).
    12. Tian, Meng & Dong, Zhengcheng & Cui, Mingjian & Wang, Jianhui & Wang, Xianpei & Zhao, Le, 2019. "Energy-supported cascading failure model on interdependent networks considering control nodes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 522(C), pages 195-204.
    13. 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.

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