Optimization criteria for modelling intersections of vehicular traffic flow

Abstract

We consider coupling conditions for the “Aw–Rascle” (AR) trafficflow model at an arbitrary road intersection. In contrast with coupling conditions previously introduced in [10] and [7], all the moments of the AR systemare conserved and the total flux at the junction is maximized. This nonlinearoptimization problem is solved completely. We show how the two simple casesof merging and diverging junctions can be extended to more complex junctions,like roundabouts. Finally, we present some numerical results.