Vestnik of Astrakhan State Technical University. Series: Management, Computer Sciences and Informatics
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Vestnik of Astrakhan State Technical University. Series: Management, Computer Sciences and Informatics, 2014, Number 1, Pages 130–139 (Mi vagtu305)  

This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICAL MODELING

Mathematical simulation of traffic flows based on the macro- and microscopic approaches

M. A. Trapeznikovaa, A. A. Chechinaa, N. G. Churbanovaa, D. B. Polyakovb

a Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow
b Institute of Mathematics National Academy of Belarus, Minsk
Full-text PDF (453 kB) Citations (2)
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Abstract: The paper considers two basic approaches to mathematical simulation of traffic flows on stretched highways and on city network elements. Namely, further development is given to the models created by the authors earlier — the macroscopic model based on the quasigasdynamic system of equations and the microscopic one using the cellular automation approach. Both models describe the case of multilane traffic i. e. they take into account the real road geometry. The obtained results of test predictions demonstrate good agreement of the models as well as their adequacy to actual road situations.
Keywords: vehicular traffic flows, microscopic and macroscopic models, multilane traffic.
Received: 19.12.2013
Document Type: Article
UDC: 656.13:519.872
BBC: 39.31:22.183.5
Language: Russian
Citation: M. A. Trapeznikova, A. A. Chechina, N. G. Churbanova, D. B. Polyakov, “Mathematical simulation of traffic flows based on the macro- and microscopic approaches”, Vestn. Astrakhan State Technical Univ. Ser. Management, Computer Sciences and Informatics, 2014, no. 1, 130–139
Citation in format AMSBIB
\Bibitem{TraCheChu14}
\by M.~A.~Trapeznikova, A.~A.~Chechina, N.~G.~Churbanova, D.~B.~Polyakov
\paper Mathematical simulation of traffic flows based on the macro- and microscopic approaches
\jour Vestn. Astrakhan State Technical Univ. Ser. Management, Computer Sciences and Informatics
\yr 2014
\issue 1
\pages 130--139
\mathnet{http://mi.mathnet.ru/vagtu305}
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  • https://www.mathnet.ru/eng/vagtu305
  • https://www.mathnet.ru/eng/vagtu/y2014/i1/p130
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Астраханского государственного технического университета. Серия: Управление, вычислительная техника и информатика
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    Abstract page:199
    Full-text PDF :107
    References:29
    First page:1
     
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