Pareto-optimal coupling conditions for the Aw-Rascle-Zhang traffic flow model at junctions

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.
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Submitted on : Friday, April 20, 2018 - 11:01:26 AM
Last modification on : Wednesday, December 4, 2019 - 10:41:32 AM
Long-term archiving on: Tuesday, September 18, 2018 - 10:44:06 AM

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  • HAL Id : hal-01551100, version 3
  • ARXIV : 1707.01683

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Oliver Kolb, Guillaume Costeseque, Paola Goatin, Simone Göttlich. Pareto-optimal coupling conditions for the Aw-Rascle-Zhang traffic flow model at junctions. SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, 2018, 78 (4), pp.1981-2002. ⟨hal-01551100v3⟩

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