On a kinetic model of the internet traffic
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 cle...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/S1026022604312033 |
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| Summary: | 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. |
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| ISSN: | 1026-0226 1607-887X |