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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
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.
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
Linking options:
https://www.mathnet.ru/eng/at15569 https://www.mathnet.ru/eng/at/y2020/i8/p149
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