The “physics” of the InternetWhy SOC/EOC/ models failA network based explanation Heavy tails in networks

The “physics” of the InternetWhy SOC/EOC/ models failA network based explanation Heavy tails in networks www.phwiki.com

The “physics” of the InternetWhy SOC/EOC/ models failA network based explanation Heavy tails in networks

Sutton, Marsha, Freelance Columnist has reference to this Academic Journal, PHwiki organized this Journal Notices of the AMS, September 1998 Internet traffic St in addition to ard Poisson models don’t capture long-range correlations. Poisson Measured Internet traffic Fractional Gaussian (fractal) noise models measurements well. Hurst parameter H is an aggregate measure of long-range correlations. Fractal Measured

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The “physics” of the Internet “Physicists use chaos to calm the web,” (Physics World, 2001) www.networkphysics.com Large literature in physics journals in addition to recently in Science, Nature, etc Links The SOC (Self-Organized Criticality) view Links Flow capacity Average Queue “phase transition”

Lattice without congestion control (!) “Critical” phase transition at max capacity At criticality: self-similar fluctuations, long tailed queues in addition to latencies, 1/f time series, etc Alternative “edge of chaos” models Self-similarity due to chaos in addition to independent of higher-layer characteristics Why SOC/EOC/ models fail No “critical” traffic rate Self-similar scaling at all different rates TCP can be unstable in addition to perhaps chaotic, but does not generate self-similar scaling Self-similar scaling occurs in all as long as ms of traffic (TCP in addition to nonTCP) Measured traffic is not consistent with these models Fractal in addition to scale-free topology models are equally specious ( as long as different reasons)

A network based explanation Underlying cause: If connections arrive r in addition to omly (in time) in addition to if their size ( packets) have high variability (i.e. are heavy-tailed with infinite variance) then the aggregate traffic is per as long as ce self-similar Evidence Coherent in addition to mathematically rigorous framework Alternative measurements (e.g. TCP connections, IP flows) Alternative analysis (e.g. heavy-tailed property) Typical web traffic log(file size) > 1.0 log(freq > size) p s- Web servers Heavy tailed web traffic Is streamed out on the net. Creating fractal Gaussian internet traffic (Willinger, ) Fat tail web traffic Is streamed onto the Internet creating long-range correlations with time

Heavy tails in addition to divergent length scales are everywhere in networks. There is a large literature since 1994: Lel in addition to , Taqqu, Willinger, Wilson Paxson, Floyd Crovella, Bestavros Harchol-Balter, Heavy tails in networks Typical web traffic log(file size) > 1.0 log(freq > size) p s- Web servers Heavy tailed web traffic Is streamed out on the net. Piece of a consistent, rigorous theory with supporting measurements

Sutton, Marsha San Diego Ranch Coast Newspaper Group Freelance Columnist www.phwiki.com

Sutton, Marsha Freelance Columnist

Sutton, Marsha is from United States and they belong to San Diego Ranch Coast Newspaper Group and they are from  Rancho Santa Fe, United States got related to this Particular Journal. and Sutton, Marsha deal with the subjects like City/Metropolitan News; Local News; Regional News

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