Discrete Dynamics in Nature and Society

Discrete Dynamics in Nature and Society / 2004 / Article
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In memory of Ilya Prigogine

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Volume 2004 |Article ID 139354 | https://doi.org/10.1155/S1026022604312033

I. Antoniou, Victor V. Ivanov, Valery V. Ivanov, Yu. L. Kalinovsky, P. V. Zrelov, "On a kinetic model of the internet traffic", Discrete Dynamics in Nature and Society, vol. 2004, Article ID 139354, 16 pages, 2004. https://doi.org/10.1155/S1026022604312033

On a kinetic model of the internet traffic

Received11 Dec 2003


We present the modification of the Prigogine-Herman kinetic equation related to the network traffic. We discuss a solution of this equation for homogeneous time-independent situations and for the lognormal desired speed distribution function, obtained from the traffic measurements. This solution clearly shows two modes corresponding to individual flow patterns (low concentration mode) and to collective flow patterns (traffic jam mode). For situations with low concentration, there is almost a linear dependence of the information flow versus the concentration and the higher the average speed the lower the concentration at which the optimum flow takes place. When approaching the critical concentration, there are no essential differences in the flow for different average speeds, whereas for the individual flow regions there are dramatic differences.

Copyright © 2004 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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