Despite their deficiencies, continuous second-order traffic flow models are still commonly used to derive discrete-time models that help traffic engineers to model and predict traffic oflow behaviour on highways. We brie fly overview the development of traffic flow theory based on continuous flow-density models of Lighthill-Whitham-Richards (LWR) type, that lead to the second-order model of Aw-Rascle. We will then concentrate on widely-adopted discrete approximation to the LWR model by Daganzo's Cell Transmission Model. Behaviour of the discussed models will be demonstrated by comparing the traffic flow prediction based on these models with real traffic data on the southern highway ring of Prague.
@article{702667,
title = {Experimental comparison of traffic flow models on traffic data},
booktitle = {Programs and Algorithms of Numerical Mathematics},
series = {GDML\_Books},
publisher = {Institute of Mathematics AS CR},
address = {Prague},
year = {2015},
pages = {86-91},
url = {http://dml.mathdoc.fr/item/702667}
}
Horňák, Ivan; Přikryl, Jan. Experimental comparison of traffic flow models on traffic data, dans Programs and Algorithms of Numerical Mathematics, GDML_Books, (2015), pp. 86-91. http://gdmltest.u-ga.fr/item/702667/