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Cascading failures in interdependent networks due to insufficient received support capability

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  • Cui, Pengshuai
  • Zhu, Peidong
  • Shao, Chengcheng
  • Xun, Peng

Abstract

We propose a capability based dependency model of interdependent network that takes two node dependency properties into account. One is support capability and the other is required capability. The redundancy degree of an interdependent network is also defined, whose value is the ratio of its total support capability and total required capability. Through the numerical simulations, we found that: (1) Interdependent networks without redundant support-dependence links are extremely vulnerable, even the failure of one node could cause the collapse of whole network; (2) Increasing support-dependence links and redistributing the nodes’ dependency properties can enhance the robustness of network without changing its redundancy degree; (3) Improving the redundancy degree could enhance network robustness without adding support-dependence links. These conclusions enlighten the design of interdependent networks: when network’s redundancy degree is fixed, we can take strategy from results (2), and when network structure is settled, we can apply strategy from results (3).

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:469:y:2017:i:c:p:777-788
    DOI: 10.1016/j.physa.2016.11.068
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    Cited by:

    1. Chao Zhang & Jingjing Kong & Slobodan P Simonovic, 2018. "Modeling joint restoration strategies for interdependent infrastructure systems," PLOS ONE, Public Library of Science, vol. 13(4), pages 1-18, April.
    2. Zhao, Yanyan & Zhou, Jie & Zou, Yong & Guan, Shuguang & Gao, Yanli, 2022. "Characteristics of edge-based interdependent networks," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    3. 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).
    4. 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).
    5. 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.

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