On a kinetic model of the internet traffic. Issue 1 (18th May 2004)

• Record Type: Journal Article
• Authors: Antoniou, I.; Ivanov, Victor V.; Ivanov, Valery V.; Kalinovsky, Yu. L.; Zrelov, P. V.
• Is Part Of: Discrete dynamics in nature and society. Volume 2004:Issue 1(2004)
• Page Start: 19
• Page End: 34
• Publication Date: 2004-05-18
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/S1026022604312033
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : 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.