Abstract
Studies of the Internet have typically focused either on the routing system, i.e. the paths chosen to reach a given destination, or on the evolution of traffic on a physical link. In this paper, we combine routing and traffic, and study for the first time the evolution of the traffic on the Internet topology. We rely on the traffic and routing data of a large transit provider, spanning almost a month.
We compute distances between the traffic graph over small and large timescales. We find that the global traffic distribution on the AS graph largely differs from traffic observed at small timescales. However, variations between consecutive time periods are relatively limited, i.e. the topology spanned by the traffic from one time period to the next is small. This difference between local and global traffic distribution is found in the timescales at which traffic dynamics occurs on AS-level links. Small timescales, i.e. less than a few hours, do not account for a significant fraction of the traffic dynamics. Most of the traffic variability is concentrated at timescales of days. Models of Internet traffic on its topology should thus focus on capturing the long-term changes in the global traffic pattern.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Cao, J., Cleveland, W., Lin, D., Sun, D.: On the nonstationarity of Internet traffic. In: International Conference on Measurement and Modeling of Computer Systems (SIGMETRICS), pp. 102–112. ACM Press, New York (2001)
Daubechies, I.: Ten Lectures on Wavelets. CMBS-NSF Series in Applied Mathematics, vol. 16. SIAM, Philadelphia (1992)
Fang, W., Peterson, L.: Inter-AS traffic patterns and their implications. In: Global Telecommunications Conference (GLOBECOM), pp. 1859–1868. IEEE Press, New-York (1999)
He, G.Y., Faloutsos, M., Krishnamurthy, S.: Quantifying routing asymmetry in the Internet at the AS level. In: Global Telecommunications Conference (GLOBECOM), pp. 1474–1479. IEEE Press, New-York (2004)
Kleinrock, L., Naylor, W.E.: On measured behavior of the ARPA network. In: Proc. of the 1974 National Computer Conference, vol. 43, pp. 767–780. AFIPS Press, Arlington (1974)
Leland, W., Wilson, D.: High time-resolution measurement and analysis of LAN traffic: Implications for LAN interconnection. In: Conference on Computer Communications (INFOCOM), pp. 1360–1366. IEEE Press, New-York (1991)
Leland, W., Taqqu, M., Willinger, W., Wilson, D.: On the self-similar nature of Ethernet traffic. IEEE/ACM Transactions on Networking 2(1), 1–15 (1994)
Cisco NetFlow services and applications, http://www.cisco.com/warp/public/732/netflow
Park, K., Willinger, W.: Self-Similar Network Traffic and Performance Evaluation. Wiley Interscience, Hoboken (2000)
Park, K., Willinger, W.: The Internet as a Large-Scale Complex System. Oxford University Press, Oxford (2005)
Paxson, V., Floyd, S.: Wide-Area Traffic: The Failure of Poisson Modeling. IEEE/ACM Transactions on Networking 3(3), 226–244 (1995)
Quoitin, B., Uhlig, S., Pelsser, C., Swinnen, L., Bonaventure, O.: Interdomain traffic engineering with BGP. IEEE Communications Magazine 41(5), 122–128 (2003)
Quoitin, B., Uhlig, S.: Modeling the Routing of an Autonomous System with C-BGP. IEEE Network Magazine 19(6), 12–19 (2005)
Rekhter, Y., Li, T., Hares, S.: A Border Gateway Protocol 4 (BGP-4). Internet RFC 4271 (2006)
Rexford, J., Wang, J., Xiao, Z., Zhang, Y.: BGP Routing Stability of Popular Destinations. In: Internet Measurement Workshop, pp. 197–202. ACM Press, New York (2002)
Tangmunarunkit, H., Govindan, R., Shenker, S., Estrin, D.: The Impact of Routing Policy on Internet Paths. In: Conference on Computer Communications (INFOCOM), pp. 736–742. IEEE Press, Los Alamitos (2001)
Thompson, K., Miller, G.J., Wilder, R.: Wide-area internet traffic patterns and characteristics. IEEE Network Magazine 11(6), 10–23 (1997)
Uhlig, S., Bonaventure, O.: Implications of interdomain traffic characteristics on traffic engineering. European Transactions on Telecommunications 13(1), 23–32 (2002)
Uhlig, S., Magnin, V., Bonaventure, O., Rapier, C., Deri, L.: Implications of the topological properties of Internet traffic on traffic engineering. In: Symposium on Applied Computing, pp. 339–346. ACM Press, New York (2004)
Uhlig, S.: Non-stationarity and high-order scaling in TCP flow arrivals: a methodological analysis. Comput. Commun. Rev. 34(2), 9–24 (2004)
Uhlig, S., Quoitin, B.: Tweak-it: BGP-based interdomain traffic engineering for transit ASes. In: Next Generation Internet Networks, pp. 75–82. IEEE Press, New-York (2005)
Uhlig, S., Quoitin, B., Lepropre, J., Balon, S.: Providing public intradomain traffic matrices to the research community. Comput. Commun. Rev. 36(1), 83–86 (2006)
Uhlig S.: From the traffic properties to traffic engineering in the Internet. VDM Verlag Dr. Müller (2008)
Willinger, W., Paxson, V., Riedi, R., Taqqu, M.: Long-Range Dependence and Data Network Traffic. In: Doukhan, P., Oppenheim, G., Taqqu, M. (eds.) Long range Dependence: Theory and Applications, pp. 373–408. Birkhäuser, Basel (2003)
GNU Zebra Routing Suite, http://www.zebra.org
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering
About this paper
Cite this paper
Uhlig, S., Fu, B., Jamakovic, A. (2009). Capturing Internet Traffic Dynamics through Graph Distances. In: Zhou, J. (eds) Complex Sciences. Complex 2009. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02469-6_3
Download citation
DOI: https://doi.org/10.1007/978-3-642-02469-6_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-02468-9
Online ISBN: 978-3-642-02469-6
eBook Packages: Computer ScienceComputer Science (R0)