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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| _version_ | 1832550182081789952 |
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| author | I. Antoniou Victor V. Ivanov Valery V. Ivanov Yu. L. Kalinovsky P. V. Zrelov |
| author_facet | I. Antoniou Victor V. Ivanov Valery V. Ivanov Yu. L. Kalinovsky P. V. Zrelov |
| author_sort | I. Antoniou |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-017fac8db0f243b98c5338782f2bdb3e |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-017fac8db0f243b98c5338782f2bdb3e2025-02-03T06:07:25ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2004-01-0120041193410.1155/S1026022604312033On a kinetic model of the internet trafficI. Antoniou0Victor V. Ivanov1Valery V. Ivanov2Yu. L. Kalinovsky3P. V. Zrelov4Department of Mathematics, Aristotele University of Thessaloniki, Campus Box 121, Thessaloniki 54124, GreeceLaboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna 141980, RussiaLaboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna 141980, RussiaLaboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna 141980, RussiaLaboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna 141980, RussiaWe 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.http://dx.doi.org/10.1155/S1026022604312033 |
| spellingShingle | 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 |
| title | On a kinetic model of the internet traffic |
| title_full | On a kinetic model of the internet traffic |
| title_fullStr | On a kinetic model of the internet traffic |
| title_full_unstemmed | On a kinetic model of the internet traffic |
| title_short | On a kinetic model of the internet traffic |
| title_sort | on a kinetic model of the internet traffic |
| url | http://dx.doi.org/10.1155/S1026022604312033 |
| work_keys_str_mv | AT iantoniou onakineticmodeloftheinternettraffic AT victorvivanov onakineticmodeloftheinternettraffic AT valeryvivanov onakineticmodeloftheinternettraffic AT yulkalinovsky onakineticmodeloftheinternettraffic AT pvzrelov onakineticmodeloftheinternettraffic |