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Cascading Failures In Barabási–Albert Scale-Free Networks With A Breakdown Probability

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  • JIAN-WEI WANG

    (Institute of Systems Engineering, Dalian University of Technology, Dalian 116024, P. R. China)

  • LI-LI RONG

    (Institute of Systems Engineering, Dalian University of Technology, Dalian 116024, P. R. China)

Abstract

In this paper, adopting the initial load of a nodejto be$L_j = k_j^\alpha$, wherekjis the degree of the nodejand α is a tunable parameter that controls the strength of the initial load of a node, we propose a cascading model with a breakdown probability and explore cascading failures on a typical network, i.e., the Barabási–Albert (BA) network with scale-free property. Assume that a failed node leads only to a redistribution of the load passing through it to its neighboring nodes. According to the simulation results, we find that BA networks reach the strongest robustness level against cascading failures whenα = 1and the robustness of networks has a positive correlation with the average degree〈k〉, not relating to the different breakdown probabilities. In addition, it is found that the robustness against cascading failures has an inversely proportional relationship with the breakdown probability of an overload node. Finally, the numerical simulations are verified by the theoretical analysis.

Suggested Citation

  • Jian-Wei Wang & Li-Li Rong, 2009. "Cascading Failures In Barabási–Albert Scale-Free Networks With A Breakdown Probability," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(04), pages 585-595.
    • Handle: RePEc:wsi:ijmpcx:v:20:y:2009:i:04:n:s0129183109013819
    DOI: 10.1142/S0129183109013819
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    Cited by:

    1. Tianhua Li & Yanchao Du & Yongbo Yuan, 2019. "Use of Variable Fuzzy Clustering to Quantify the Vulnerability of a Power Grid to Earthquake Damage," Sustainability, MDPI, vol. 11(20), pages 1-17, October.

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