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Avtomatika i Telemekhanika, 2020, Issue 8, Pages 149–164
DOI: https://doi.org/10.31857/S0005231020080115
(Mi at15569)
 

This article is cited in 2 scientific papers (total in 4 papers)

Topical issue

Dynamic models of heterogeneous traffic flow on highways

M. A. Fedotkin, A. M. Fedotkin, E. V. Kudryavtsev

Lobachevsky Nizhny Novgorod State University, Nizhny Novgorod, Russia
Full-text PDF (262 kB) Citations (4)
References:
Abstract: We consider a cybernetic method for describing and analyzing real flows when intervals between successive moments of claim arrivals are statistically dependent and have different distributions. We propose heuristic algorithm that allow to distinguish two classes of heterogeneous requirements in a flow. As their description, we propose to use only the intervals between adjacent first class claims and the number of all claims in each such interval. The feasibility of the proposed description is demonstrated not only with the example of a traffic flow of cars moving on a highway, but also when determining the probability laws of the distribution of real flows of a different physical nature.
Keywords: non-uniform claims, cybernetic control system, Kolmogorov equations, non-local description, flow splitting algorithm, statistical hypotheses, Wallis-Moore criterion.
Funding agency Grant number
Russian Foundation for Basic Research 18-413-520005
This work was supported by the Russian Foundation for Basic Research, project no.18-413-520005.
Presented by the member of Editorial Board: B. T. Polyak

Received: 23.07.2019
Revised: 26.10.2019
Accepted: 30.01.2020
English version:
Automation and Remote Control, 2020, Volume 81, Issue 8, Pages 1486–1498
DOI: https://doi.org/10.1134/S000511792008010X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. A. Fedotkin, A. M. Fedotkin, E. V. Kudryavtsev, “Dynamic models of heterogeneous traffic flow on highways”, Avtomat. i Telemekh., 2020, no. 8, 149–164; Autom. Remote Control, 81:8 (2020), 1486–1498
Citation in format AMSBIB
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\paper Dynamic models of heterogeneous traffic flow on highways
\jour Avtomat. i Telemekh.
\yr 2020
\issue 8
\pages 149--164
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\crossref{https://doi.org/10.31857/S0005231020080115}
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\transl
\jour Autom. Remote Control
\yr 2020
\vol 81
\issue 8
\pages 1486--1498
\crossref{https://doi.org/10.1134/S000511792008010X}
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  • https://www.mathnet.ru/eng/at15569
  • https://www.mathnet.ru/eng/at/y2020/i8/p149
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Avtomatika i Telemekhanika
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    Abstract page:125
    Full-text PDF :18
    References:25
    First page:11
     
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