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Computer Research and Modeling, 2011, Volume 3, Issue 4, Pages 389–412
DOI: https://doi.org/10.20537/2076-7633-2011-3-4-389-412
(Mi crm566)
 

This article is cited in 6 scientific papers (total in 6 papers)

MODELS IN PHYSICS AND TECHNOLOGY

Numerical study of traffic flows by the hydrodynamic models

I. I. Morozov, A. V. Gasnikov, V. N. Tarasov, Ya. A. Kholodov, A. S. Kholodov

Moscow Institute of Physics and Technology, Dolgoprudnyi, Moscow region, 141700, Russia
References:
Abstract: The purpose of this paper is to generalize the macroscopic hydrodynamic vehicular traffic models by using the algorithm for constructing the adequate state equation — dependence the pressure from traffic density by taking into account the real experimental data (possibly using the parametric solutions for model equations). It is proved that this kind of state equation which closed model equations system and obtained from the experimentally observed form of the fundamental diagram — dependence the traffic intensity from its density, completely determines the all properties of the used phenomenological model.
Keywords: vehicular traffic, the state equation, hyperbolic equation systems, traffic flows, phenomenological models.
Funding agency Grant number
Russian Foundation for Basic Research 10-07-00620
11-01-00494
Received: 23.11.2011
Document Type: Article
UDC: 519.6
Language: Russian
Citation: I. I. Morozov, A. V. Gasnikov, V. N. Tarasov, Ya. A. Kholodov, A. S. Kholodov, “Numerical study of traffic flows by the hydrodynamic models”, Computer Research and Modeling, 3:4 (2011), 389–412
Citation in format AMSBIB
\Bibitem{MorGasTar11}
\by I.~I.~Morozov, A.~V.~Gasnikov, V.~N.~Tarasov, Ya.~A.~Kholodov, A.~S.~Kholodov
\paper Numerical study of traffic flows by the hydrodynamic models
\jour Computer Research and Modeling
\yr 2011
\vol 3
\issue 4
\pages 389--412
\mathnet{http://mi.mathnet.ru/crm566}
\crossref{https://doi.org/10.20537/2076-7633-2011-3-4-389-412}
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  • https://www.mathnet.ru/eng/crm/v3/i4/p389
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Computer Research and Modeling
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