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Extended Fiber Bundle Model For Traffic Jams On Scale-Free Networks

Author

Listed:
  • JIAN-FENG ZHENG

    (Institute of System Science, School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, P. R. China)

  • ZI-YOU GAO

    (Institute of System Science, School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, P. R. China)

  • XIAO-MEI ZHAO

    (Institute of System Science, School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, P. R. China)

  • BAI-BAI FU

    (State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing 100044, P. R. China)

Abstract

In this paper, we extend a fiber bundle model to study the propagation of traffic jams on scale-free networks. For the special distributions of traffic handling capacities of the links and traffic load on the nodes, the critical behavior of the jamming transition on scale-free networks is studied analytically. It is found that the links connecting to the nodes with larger degrees are more prone to suffering from traffic jams. This feature is associated with a propagation that follows a precise hierarchical dynamics. Finally, the average failure rate of the networks, which is defined as the fraction of total broken links of the network, is investigated analytically and by simulations in scale-free networks. We mainly find that, whenβ > γ(β and γ are the scaling exponents of the load distribution and degree distribution, respectively), there is a scaling between the average failure rate of the scale-free networks1 - Gand the network sizeN,1 - G ~ N-1, independent of γ.

Suggested Citation

  • Jian-Feng Zheng & Zi-You Gao & Xiao-Mei Zhao & Bai-Bai Fu, 2008. "Extended Fiber Bundle Model For Traffic Jams On Scale-Free Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(11), pages 1727-1735.
    • Handle: RePEc:wsi:ijmpcx:v:19:y:2008:i:11:n:s0129183108013254
    DOI: 10.1142/S0129183108013254
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    Cited by:

    1. Batool, Attia & Pál, Gergő & Danku, Zsuzsa & Kun, Ferenc, 2022. "Transition from localized to mean field behaviour of cascading failures in the fiber bundle model on complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).

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