MODELLING OF URBAN TRAFFIC FLOW

Sharif E. Guseynov, Alexander V. Berezhnoy

Abstract


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.

Keywords


traffic flow; mathematical model; Cauchy initial-value problem

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References


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DOI: http://dx.doi.org/10.17770/etr2017vol1.2632

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