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.
@article{703002,
title = {Comparing numerical integration schemes for a car-following model with real-world data},
booktitle = {Programs and Algorithms of Numerical Mathematics},
series = {GDML\_Books},
publisher = {Institute of Mathematics CAS},
address = {Prague},
year = {2017},
pages = {89-96},
url = {http://dml.mathdoc.fr/item/703002}
}
Přikryl, Jan; Vaniš, Miroslav. Comparing numerical integration schemes for a car-following model with real-world data, dans Programs and Algorithms of Numerical Mathematics, GDML_Books, (2017), pp. 89-96. http://gdmltest.u-ga.fr/item/703002/