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Matematicheskoe modelirovanie, 2024, Volume 36, Number 1, Pages 131–140
DOI: https://doi.org/10.20948/mm-2024-01-08
(Mi mm4525)
 

This article is cited in 1 scientific paper (total in 1 paper)

Parameters estimation in the traffic flow model

M. A. Pogrebnyak

P.G. Demidov Yaroslavl State University, Mathematical department, Yaroslavl
References:
Abstract: This paper presents a parameters estimation in the traffic flow model. The model is represented by a system of differential equations with a time delay. The main result of this paper is the calculation of the range of values for the parameters describing the intensity of acceleration and braking, as well as a coefficient that describes how smoothly the pursuing vehicle adjusts its speed to the one in front. The parameters of the model were estimated with analytical calculations and numerical experiments. For the numerical experiment a special computer program was developed.
Keywords: mathematical model, traffic flow dynamics, delay differential equation.
Received: 01.08.2023
Revised: 01.08.2023
Accepted: 16.10.2023
English version:
Mathematical Models and Computer Simulations, 2024, Volume 16, Issue 3, Pages 412–418
DOI: https://doi.org/10.1134/S207004822470008X
Document Type: Article
Language: Russian
Citation: M. A. Pogrebnyak, “Parameters estimation in the traffic flow model”, Matem. Mod., 36:1 (2024), 131–140; Math. Models Comput. Simul., 16:3 (2024), 412–418
Citation in format AMSBIB
\Bibitem{Pog24}
\by M.~A.~Pogrebnyak
\paper Parameters estimation in the traffic flow model
\jour Matem. Mod.
\yr 2024
\vol 36
\issue 1
\pages 131--140
\mathnet{http://mi.mathnet.ru/mm4525}
\crossref{https://doi.org/10.20948/mm-2024-01-08}
\transl
\jour Math. Models Comput. Simul.
\yr 2024
\vol 16
\issue 3
\pages 412--418
\crossref{https://doi.org/10.1134/S207004822470008X}
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  • https://www.mathnet.ru/eng/mm4525
  • https://www.mathnet.ru/eng/mm/v36/i1/p131
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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    Abstract page:159
    Full-text PDF :5
    References:41
    First page:21
     
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