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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2020 Issue 8, Pages 149–164 (Mi at15569)

This article is cited in 2 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

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.

Presented by the member of Editorial Board: B. T. Polyak

Received: 23.07.2019
Revised: 26.10.2019
Accepted: 30.01.2020

DOI: 10.31857/S0005231020080115


 English version:
Automation and Remote Control, 2020, 81:8, 1486–1498

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© Steklov Math. Inst. of RAS, 2024