Reducing Packet-Loss by Taking Long-Range Dependences into Account

We show that the “fractal” behavior of Internet traffic can be efficiently and practically employed to significantly reduce packet-loss. Thanks to recent advances in the theory of self-similar processes, we define the probabilistic congestion of a link, based on an estimated computation of the packet-loss probability over that link. This congestion parameter allows valid predictions on the future behavior of the network, on which one can base efficient routing strategies. We show how to implement the computation of the probabilistic congestion, and we illustrate several applications for improving unicast and multicast protocols.

[1]  Ilkka Norros,et al.  Simulation of fractional Brownian motion with conditionalized random midpoint displacement , 1999 .

[2]  Jon Crowcroft,et al.  Building shared trees using a one-to-many joining mechanism , 1997, CCRV.

[3]  Deborah Estrin,et al.  Alternate Path Routing and Pinning for Interdomain Multicast Routing , 1997 .

[4]  Walter Willinger,et al.  On the self-similar nature of Ethernet traffic , 1993, SIGCOMM '93.

[5]  Sally Floyd,et al.  Wide-area traffic: the failure of Poisson modeling , 1994 .

[6]  Raj Jain Congestion Control and Traffic Management in ATM Networks: Recent Advances and a Survey , 1996, Comput. Networks ISDN Syst..

[7]  Azer Bestavros,et al.  Self-similarity in World Wide Web traffic: evidence and possible causes , 1996, SIGMETRICS '96.

[8]  Andras Veres,et al.  The chaotic nature of TCP congestion control , 2000, Proceedings IEEE INFOCOM 2000. Conference on Computer Communications. Nineteenth Annual Joint Conference of the IEEE Computer and Communications Societies (Cat. No.00CH37064).

[9]  Sándor Molnár,et al.  On the propagation of long-range dependence in the Internet , 2000, SIGCOMM.

[10]  Ilkka Norros,et al.  On the Use of Fractional Brownian Motion in the Theory of Connectionless Networks , 1995, IEEE J. Sel. Areas Commun..

[11]  Ilkka Norros,et al.  A storage model with self-similar input , 1994, Queueing Syst. Theory Appl..

[12]  Walter Willinger,et al.  On the Self-Similar Nature of Ethernet Traffic ( extended version ) , 1995 .

[13]  M. Crovella,et al.  Heavy-tailed probability distributions in the World Wide Web , 1998 .

[14]  Ilkka Norros Busy periods of fractional Brownian storage: a large deviations approach , 1999 .

[15]  M. Faloutsos,et al.  QoSMIC: quality of service sensitive multicast Internet protocol , 1998, SIGCOMM '98.

[16]  B. Mandelbrot,et al.  Fractional Brownian Motions, Fractional Noises and Applications , 1968 .

[17]  Walter Willinger,et al.  Proof of a fundamental result in self-similar traffic modeling , 1997, CCRV.

[18]  Pierre Fraigniaud,et al.  M/spl lambda/T: a multicast protocol with QoS support , 2003, Proceedings. 12th International Conference on Computer Communications and Networks (IEEE Cat. No.03EX712).

[19]  Walter Willinger,et al.  Analysis, modeling and generation of self-similar VBR video traffic , 1994, SIGCOMM.

[20]  Walter Willinger,et al.  Self-similarity through high-variability: statistical analysis of Ethernet LAN traffic at the source level , 1997, TNET.

[21]  Kihong Park,et al.  On the relationship between file sizes, transport protocols, and self-similar network traffic , 1996, Proceedings of 1996 International Conference on Network Protocols (ICNP-96).

[22]  Walter Willinger,et al.  Long-range dependence in variable-bit-rate video traffic , 1995, IEEE Trans. Commun..