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IMI/Publicaţii/CSJM/Ediţii/CSJM v.12, n.2 (35), 2004/

A Stochastic Map Model of Phase Transition in Internet Traffic

Authors: Kensuke Fukuda, Hideki Takayasu, Misako Takayasu

Abstract

We analyse the macroscopic dynamics of packet flow density in a WAN from the standpoint of statistical physics. Our results show the existence of a phase transition in macroscopic Internet traffic flow, which is characterized by three typical behaviors. We propose a simple autoregressive map model based on empirical phase transition phenomena, and show that it can reproduce the basic properties of actual traffic.

Kensuke Fukuda, Hideki Takayasu, Misako Takayasu
Kensuke Fukuda,
Graduate School of Computer Science, Keio University,
3-14-1 Hiyoshi, Kouhoku-ku, Yokohama 223-8522, Japan,
E-mail :
Hideki Takayasu,
Sony Computer Science Laboratories,
3-14-13 Higashi-Gotanda, Shinagawa-ku, Tokyo 141-0022, Japan,
E-mail :
Misako Takayasu,
Faculty of Science and Technology, Keio University,
Kashimada, Saiwai-ku, Kawasaki 211-0985, Japan,
E-mail :

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