We consider a multi-class (resp. source destination) model for traffic flow as introduced in M. Garavello and B. Piccoli, Source-Destination flow on a road network. We propose a reformulation and discuss the extension of this model to road networks by proposing criteria for solving Riemann problems at a road intersection. We present some numerical simulations for the derived conditions.
@article{1175797558,
author = {Herty, M. and Kirchner, C. and Moutari, S.},
title = {Multi-class traffic models on road networks},
journal = {Commun. Math. Sci.},
volume = {4},
number = {1},
year = {2006},
pages = { 591-608},
language = {en},
url = {http://dml.mathdoc.fr/item/1175797558}
}
Herty, M.; Kirchner, C.; Moutari, S. Multi-class traffic models on road networks. Commun. Math. Sci., Tome 4 (2006) no. 1, pp. 591-608. http://gdmltest.u-ga.fr/item/1175797558/