MODELLING PEDESTRIANS’ IMPACT ON THE PERFORMANCE OF A ROUNDABOUT

In this paper we investigate the relationship between short time stay of pedestrian on the crosswalk situated at entrance and exiting roads of the roundabout. In addition, we study its implication on the performance of the roundabout in regulating traffic flow problems. To this aim, the roundabout is modeled as network of roads with 2 x 1 and 1 x 2-type junctions and external incoming and outgoing roads. The evolution of traffic flow on the road network at the roundabout is modeled by Lighthill-Whitham-Richards model with extended flux to capture the presence of pedestrians on crosswalk. We introduce three cost functionals that measure the total mass of vehicle , average velocity, and total flux respectively on the network. Then we analyze the performance of the roundabout with and without pedestrian through numerical simulation using Godunov scheme. Keywords: Traffic flow, roundabout performance, scalar conservation laws, pedestrians.