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Universal resilience patterns in cascading load model: More capacity is not always better

Author

Listed:
  • Jianwei Wang

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

  • Xue Wang

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

  • Lin Cai

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

  • Chengzhang Ni

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

  • Wei Xie

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

  • Bo Xu

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

Abstract

We study the problem of universal resilience patterns in complex networks against cascading failures. We revise the classical betweenness method and overcome its limitation of quantifying the load in cascading model. Considering that the generated load by all nodes should be equal to the transported one by all edges in the whole network, we propose a new method to quantify the load on an edge and construct a simple cascading model. By attacking the edge with the highest load, we show that, if the flow between two nodes is transported along the shortest paths between them, then the resilience of some networks against cascading failures inversely decreases with the enhancement of the capacity of every edge, i.e. the more capacity is not always better. We also observe the abnormal fluctuation of the additional load that exceeds the capacity of each edge. By a simple graph, we analyze the propagation of cascading failures step by step, and give a reasonable explanation of the abnormal fluctuation of cascading dynamics.

Suggested Citation

  • Jianwei Wang & Xue Wang & Lin Cai & Chengzhang Ni & Wei Xie & Bo Xu, 2017. "Universal resilience patterns in cascading load model: More capacity is not always better," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 28(03), pages 1-15, March.
    • Handle: RePEc:wsi:ijmpcx:v:28:y:2017:i:03:n:s0129183117500413
    DOI: 10.1142/S0129183117500413
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