Skip to main content
Log in

Theoretical approach and impact of correlations on the critical packet generation rate in traffic dynamics on complex networks

  • Regular Article
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract.

Using the formalism of the biased random walk in random uncorrelated networks with arbitrary degree distributions, we develop theoretical approach to the critical packet generation rate in traffic based on routing strategy with local information. We explain microscopic origins of the transition from the flow to the jammed phase and discuss how the node neighbourhood topology affects the transport capacity in uncorrelated and correlated networks.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. R. Pastor-Satorras, A. Vazquez, A. Vespignani, Phys. Rev. Lett. 87, 258701 (2001)

    Article  ADS  Google Scholar 

  2. R. Albert, H. Jeong, A.-L. Barabsi, Nature 401, 103 (1999)

    Google Scholar 

  3. R. Guimera, A. Arenas, A. Diaz-Guilera, F. Giralt, Phys. Rev. E 66, 026704 (2002)

    Article  ADS  Google Scholar 

  4. L. Zhao, Y.C. Lai, K. Park, N. Ye, Phys. Rev. E 71, 026125 (2005)

    Article  ADS  Google Scholar 

  5. B. Tadic, S. Thurner, G.J. Rodgers, Phys. Rev. E 69, 036102 (2004)

    Article  ADS  Google Scholar 

  6. R. Guimera, A. Diaz-Guilera, F. Vega-Redondo, A. Cabrales, A. Arenas, Phys. Rev. Lett. 89, 248701 (2002)

    Article  ADS  Google Scholar 

  7. G. Mukherjee, S.S. Manna, Phys. Rev. E 71, 066108 (2005)

    Article  ADS  Google Scholar 

  8. L. Zhao, K. Park, Y.C. Lai, Phys. Rev. E 70, R035101 (2004)

    Article  ADS  Google Scholar 

  9. P. Holme, B.J. Kim, Phys. Rev. E 65, 066109 (2002)

    Article  ADS  Google Scholar 

  10. M. Barthlemy, Eur. Phys. J. B 38, 163 (2003)

    Article  ADS  Google Scholar 

  11. W. Huang, T.W.S. Chow, Chaos 19, 043124 (2009)

    Article  ADS  Google Scholar 

  12. W.X. Wang, C.Y. Yin, G. Yan, B.H. Wang, Phys. Rev. E 74, 016101 (2006)

    Article  ADS  Google Scholar 

  13. M.B. Hu, R. Jiang, Y.H. Wu, W.X. Wang, Q.S. Wu, Eur. Phys. J. B 63, 127 (2008)

    Article  ADS  Google Scholar 

  14. S. Scellato, L. Fortuna, M. Frasca, J. Gmez-Gardenes, V. Latora, Eur. Phys. J. B 73, 303 (2010)

    Article  ADS  MATH  Google Scholar 

  15. S.Y. Chen, W. Huang, C. Cattani, Math. Probl. Eng. 2011, 732698 (2011)

    MathSciNet  Google Scholar 

  16. D. De Martino, L. Dall’Asta, G. Bianconi, M. Marsili, Phys. Rev. E 79, R015101 (2009)

    Article  ADS  Google Scholar 

  17. W.X. Wang, B.H. Wang, C.Y. Yin, Y.B. Xie, T. Zhou, Phys. Rev. E 73, 026111 (2006)

    Article  ADS  Google Scholar 

  18. J.D. Noh, H. Rieger, Phys. Rev. Lett. 92, 118701 (2004)

    Article  ADS  Google Scholar 

  19. A. Fronczak, P. Fronczak, Phys. Rev. E 80, 016107 (2009)

    Article  ADS  Google Scholar 

  20. A.L. Barabasi, R. Albert, H. Jeong, Physica A 272, 173 (1999)

    Article  ADS  Google Scholar 

  21. M. Boguna, R. Pastor-Satorras, Phys. Rev. E 68, 036112 (2003)

    Article  ADS  Google Scholar 

  22. A. Fronczak, P. Fronczak, Phys. Rev. E 74, 026121 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  23. J.D. Noh, Phys. Rev. E 76, 026116 (2007)

    Article  ADS  Google Scholar 

  24. M.E.J. Newman, Phys. Rev. Lett. 89, 208701 (2002)

    Article  ADS  Google Scholar 

  25. J. Park, M.E.J. Newman, Phys. Rev. E 70, 066117 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  26. P. Fronczak, A. Fronczak, J.A. Holyst, Eur. Phys. J. B 59, 133 (2007)

    Article  ADS  MATH  Google Scholar 

  27. J.T. Sun, S.J. Wang, Z.G. Huang, Y.H. Wang, Physica A 388, 3244 (2009)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to P. Fronczak.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fronczak, P. Theoretical approach and impact of correlations on the critical packet generation rate in traffic dynamics on complex networks. Eur. Phys. J. B 85, 351 (2012). https://doi.org/10.1140/epjb/e2012-30062-x

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjb/e2012-30062-x

Keywords

Navigation