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June  2006, 1(2): 275-294. doi: 10.3934/nhm.2006.1.275

Optimization criteria for modelling intersections of vehicular traffic flow

1. 

Technische Universität Kaiserslautern, Fachbereich Mathematik, Postfach 3049, D-67653 Kaiserslautern

2. 

Laboratoire J. A. Dieudonné, UMR CNRS N˚ 6621, Université de Nice-Sophia Antipolis, Parc Valrose, 06108 Nice Cedex 2, France, France

Received  November 2005 Revised  January 2006 Published  March 2006

We consider coupling conditions for the “Aw–Rascle” (AR) traffic flow model at an arbitrary road intersection. In contrast with coupling conditions previously introduced in [10] and [7], all the moments of the AR system are conserved and the total flux at the junction is maximized. This nonlinear optimization problem is solved completely. We show how the two simple cases of merging and diverging junctions can be extended to more complex junctions, like roundabouts. Finally, we present some numerical results.
Citation: Michael Herty, S. Moutari, M. Rascle. Optimization criteria for modelling intersections of vehicular traffic flow. Networks and Heterogeneous Media, 2006, 1 (2) : 275-294. doi: 10.3934/nhm.2006.1.275
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