Riemann solver for a macroscopic double-lane roundabout model

Maria Laura Delle Monache 1 Samuel Hammond 2 Benedetto Piccoli 3
1 NECS - Networked Controlled Systems
Inria Grenoble - Rhône-Alpes, GIPSA-DA - Département Automatique
3 Rutgers University, Department of Mathematics
Department of Mathematics - Rutgers School of Arts and Sciences
Abstract : In this article, we introduce a Riemann solver for traffic flow on a roundabout with two lanes. The roundabout is modeled as a sequence of 2 × 1, 1 × 2 and 2 × 2 junctions. The Riemann solver provide a solution at junctions by taking into consideration traffic distribution, priorities, and the maximization of through flux. We prove existence and uniqueness of the solution of the Riemann problem and show some results numerically.
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Maria Laura Delle Monache, Samuel Hammond, Benedetto Piccoli. Riemann solver for a macroscopic double-lane roundabout model. 15th IFAC Symposium on Control in Transportation Systems (CTS 2018), Jun 2018, Savona, Italy. pp.55-60, ⟨10.1016/j.ifacol.2018.07.010⟩. ⟨hal-01816703⟩

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