Skip to main content
SpringerLink
Log in

Cascading dynamics in congested complex networks

  • Statistical and Nonlinear Physics
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract

Cascading failures often occur in congested complex networks. Cascading failures can be expressed as a three phase process: generation, diffusion and dissipation of congestion. Different from betweenness centrality, we propose a congestion function to represent the extent of congestion on a given node. By introducing the concept of “delay time”, we construct an intergradation between permanent removal and nonremoval. We also build a new evaluation function of network efficiency, based on congestion, which measures the damage caused by cascading failures. Finally, based on Statnet and Webgraph topologies we investigate the effects of network structure and size, delay time, processing ability and traffic generation speed on congestion propagation. Also we uncover cascading process composed of three phases and some factors affecting cascade propagation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • B.C. David, S.Y. Carl, Computers & Security 24, 280 (2005)

    Google Scholar 

  • J.J. Wu, Z.Y. Gao, H.J. Sun, Physica A 378, 505 (2007)

    Google Scholar 

  • J. Ash, D. Newth, Physica A 380, 673 (2007)

    Google Scholar 

  • A. Galstyan, P. Cohen, Phys. Rev. E 75, 036109 (2007)

    Google Scholar 

  • W.X. Wang, G.R. Chen, Phys. Rev. E 77, 026101 (2008)

    Google Scholar 

  • S. Sharma, L. Srivastava, Appl. Soft Comput. 8, 626 (2008)

    Google Scholar 

  • A.-L. Barabási, R. Albert, Science 286, 509 (1999)

    Google Scholar 

  • G. Siganos, M. Faloutsos, P. Faloutsos, C. Faloutsos, IEEE/ACM Trans. on Networking 11, 514 (2003)

    Google Scholar 

  • V. Jacobson, SIGCOMM Comput. Commun. Rev. 18, 314 (1988)

    Google Scholar 

  • I. Petersen, Fatal defect: chasing killer computer bugs (Vintage, New York, USA, 1996)

  • D.J. Watts, Proceedings of the National Academy of Sciences USA 99, 5766 (2002)

    Google Scholar 

  • A.E. Motter, Y.-C. Lai1, Phys. Rev. E 66, 065102 (2002)

    Google Scholar 

  • A.E. Motter, Phys. Rev. Lett. 93, 098701 (2004)

    Google Scholar 

  • L.K. Gallos, R. Cohen, P. Argyrakis, A. Bunde, S. Havlin, Phys. Rev. Lett. 94, 188701 (2005)

    Google Scholar 

  • U. Brandes, J. Math. Sociol. 25, 163 (2001)

    Google Scholar 

  • J.F. Zheng, Z.Y. Gao, X.M. Zhao, Physica A 385, 700 (2007)

    Google Scholar 

  • T. Ohira, R. Sawatari, Phys. Rev. E 58, 193 (1998)

    Google Scholar 

  • V. Latora, M. Marchiori, Phys. Rev. Lett. 87, 198701 (2001)

    Google Scholar 

  • B. Tadi ae , G.J. Rodgers, Stefan Thurner, Int. J. Bifurcation and Chaos 17, 2363 (2007)

    Google Scholar 

  • B. Tadi ae , Physica A 314, 278 (2002)

  • J.J. Wu, H.J. Sun, Z.Y. Gao, Physica A 386, 407 (2007)

    Google Scholar 

  • V. Cholvi, Physica A 366, 571 (2006)

  • D.-H. Kim, A.E. Motter, J. Phys. A: Math. Theor. 41, 224019 (2008)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Computer Science and Technology, Jilin University, Changchun, 130012, P.R. China

    J. Wang, Y.-H. Liu, Y. Jiao & H.-Y. Hu

  2. Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education, Jilin University, Changchun, 130012, P.R. China

    J. Wang, Y.-H. Liu, Y. Jiao & H.-Y. Hu

Authors
  1. J. Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Y.-H. Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Y. Jiao
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. H.-Y. Hu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Y.-H. Liu.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wang, J., Liu, YH., Jiao, Y. et al. Cascading dynamics in congested complex networks. Eur. Phys. J. B 67, 95–100 (2009). https://doi.org/10.1140/epjb/e2009-00004-0

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjb/e2009-00004-0

PACS

Search

Navigation