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The robustness of interdependent weighted networks

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  • Wang, Fan
  • Tian, Lixin
  • Du, Ruijin
  • Dong, Gaogao

Abstract

We analysis the cascading failure of interdependent weighted networks based on percolation theory and local weighted flow redistribution rule. The weight of a node is Biθ, where Bi is the betweenness of the node. We assume that the two networks A and B of size NA andNB are BA networks, and suppose two different one-to-one interdependent network, one is random, the other based on nodes’ betweenness. Assume that a failed node in network A leads to a redistribution of the flow passing through it to its neighboring nodes and the interdependent node in network B also to be disabled, where the two failure factors happen concurrently, or successively. We find that the one-to-one random interdependent weighted complex network reaches the strongest robustness level when the weight parameter θ =0.5, no matter cascading failure caused by two failure factors happen concurrently, or successively. And when the interdependent relationship based on nodes’ betweenness, θ=0.7 to get the strongest robustness level.

Suggested Citation

  • Wang, Fan & Tian, Lixin & Du, Ruijin & Dong, Gaogao, 2018. "The robustness of interdependent weighted networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 675-680.
    • Handle: RePEc:eee:phsmap:v:508:y:2018:i:c:p:675-680
    DOI: 10.1016/j.physa.2018.05.110
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    1. Réka Albert & Hawoong Jeong & Albert-László Barabási, 2000. "Error and attack tolerance of complex networks," Nature, Nature, vol. 406(6794), pages 378-382, July.
    2. Havlin, Shlomo & Stanley, H. Eugene & Bashan, Amir & Gao, Jianxi & Kenett, Dror Y., 2015. "Percolation of interdependent network of networks," Chaos, Solitons & Fractals, Elsevier, vol. 72(C), pages 4-19.
    3. 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.
    4. E. Almaas & B. Kovács & T. Vicsek & Z. N. Oltvai & A.-L. Barabási, 2004. "Global organization of metabolic fluxes in the bacterium Escherichia coli," Nature, Nature, vol. 427(6977), pages 839-843, February.
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    Cited by:

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    4. 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).
    5. Wang, Bi & Su, Qin & Chin, Kwai Sang, 2021. "Vulnerability assessment of China–Europe Railway Express multimodal transport network under cascading failures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).

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