Geodesic
Parameters estimation in the traffic flow model
Matematičeskoe modelirovanie, Tome 36 (2024) no. 1, pp. 131-140

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{MM_2024_36_1_a8,
     author = {M. A. Pogrebnyak},
     title = {Parameters estimation in the traffic flow model},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {131--140},
     publisher = {mathdoc},
     volume = {36},
     number = {1},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2024_36_1_a8/}
}
TY  - JOUR
AU  - M. A. Pogrebnyak
TI  - Parameters estimation in the traffic flow model
JO  - Matematičeskoe modelirovanie
PY  - 2024
SP  - 131
EP  - 140
VL  - 36
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2024_36_1_a8/
LA  - ru
ID  - MM_2024_36_1_a8
ER  - 
%0 Journal Article
%A M. A. Pogrebnyak
%T Parameters estimation in the traffic flow model
%J Matematičeskoe modelirovanie
%D 2024
%P 131-140
%V 36
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2024_36_1_a8/
%G ru
%F MM_2024_36_1_a8
M. A. Pogrebnyak. Parameters estimation in the traffic flow model. Matematičeskoe modelirovanie, Tome 36 (2024) no. 1, pp. 131-140. http://geodesic.mathdoc.fr/item/MM_2024_36_1_a8/