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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2024 Volume 36, Number 1, Pages 131–140 (Mi mm4525)

This article is cited 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

DOI: 10.20948/mm-2024-01-08


 English version:
Mathematical Models and Computer Simulations, 2024, 16:3, 412–418


© Steklov Math. Inst. of RAS, 2024