Comparing numerical integration schemes for a car-following model with real-world data

Přikryl, Jan, and Vaniš, Miroslav. "Comparing numerical integration schemes for a car-following model with real-world data." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics CAS, 2017. 89-96. <http://eudml.org/doc/288168>.

@inProceedings{Přikryl2017,
abstract = {A key element of microscopic traffic flow simulation is the so-called car-following model, describing the way in which a typical driver interacts with other vehicles on the road. This model is typically continuous and traffic micro-simulator updates its vehicle positions by a numerical integration scheme. While increasing the order of the scheme should lead to more accurate results, most micro-simulators employ the simplest Euler rule. In our contribution, inspired by [1], we will provide some additional details that have to be addressed when implementing higher-order numerical integration schemes for CFMs and we will show that the theoretical gain of higher-order methods is unfortunately masked out by the stochastic nature of real-world traffic flow.},
author = {Přikryl, Jan, Vaniš, Miroslav},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {numerical integration; Runge-Kutta; Euler; trapezoid; ballistic update; car-following model; intelligent driver model; traffic flow},
location = {Prague},
pages = {89-96},
publisher = {Institute of Mathematics CAS},
title = {Comparing numerical integration schemes for a car-following model with real-world data},
url = {http://eudml.org/doc/288168},
year = {2017},
}

TY - CLSWK
AU - Přikryl, Jan
AU - Vaniš, Miroslav
TI - Comparing numerical integration schemes for a car-following model with real-world data
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2017
CY - Prague
PB - Institute of Mathematics CAS
SP - 89
EP - 96
AB - A key element of microscopic traffic flow simulation is the so-called car-following model, describing the way in which a typical driver interacts with other vehicles on the road. This model is typically continuous and traffic micro-simulator updates its vehicle positions by a numerical integration scheme. While increasing the order of the scheme should lead to more accurate results, most micro-simulators employ the simplest Euler rule. In our contribution, inspired by [1], we will provide some additional details that have to be addressed when implementing higher-order numerical integration schemes for CFMs and we will show that the theoretical gain of higher-order methods is unfortunately masked out by the stochastic nature of real-world traffic flow.
KW - numerical integration; Runge-Kutta; Euler; trapezoid; ballistic update; car-following model; intelligent driver model; traffic flow
UR - http://eudml.org/doc/288168
ER -