Alexander V. Berezhnoy, Sharif E. Guseynov

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Last modified: 05.06.2017


In this paper non-deterministic motion of urban traffic is studied under certain assumptions. Based on those assumptions discrete and continuous mathematical models are developed: continuous model is written as the Cauchy initial-value problem for the integro-differential equation, whence among other things it is obtained the Fokker-Planck equation. Besides, the sufficient condition ensuring the mathematical legitimacy of the developed continuous model is formulated.


traffic flow; mathematical model; Cauchy initial-value problem


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ERDF co-funded project "Funding of international projects in research and innovation at Rezekne Academy of Technologies" No.