Pareto-optimal coupling conditions for the Aw-Rascle-Zhang traffic flow model at junctions
Numerical Analysis
2018-04-23 v2
Abstract
This article deals with macroscopic traffic flow models on a road network. More precisely, we consider coupling conditions at junctions for the Aw-Rascle-Zhang second order model consisting of a hyperbolic system of two conservation laws. These coupling conditions conserve both the number of vehicles and the mixing of Lagrangian attributes of traffic through the junction. The proposed Riemann solver is based on assignment coefficients, multi-objective optimization of fluxes and priority parameters. We prove that this Riemann solver is well posed in the case of special junctions, including 1-to-2 diverge and 2-to-1 merge.
Keywords
Cite
@article{arxiv.1707.01683,
title = {Pareto-optimal coupling conditions for the Aw-Rascle-Zhang traffic flow model at junctions},
author = {Oliver Kolb and Guillaume Costeseque and Paola Goatin and Simone Göttlich},
journal= {arXiv preprint arXiv:1707.01683},
year = {2018}
}