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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
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
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
Linking options:
https://www.mathnet.ru/eng/mm4525 https://www.mathnet.ru/eng/mm/v36/i1/p131
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Abstract page: | 159 | Full-text PDF : | 5 | References: | 41 | First page: | 21 |
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