A multilane junction model

Abstract

Junction modelling is described within the framework of macroscopic traffic flow models. Given previous models, the focus is on the most important factor: first-in first-out (FIFO) effects. According to the number of lanes, current models assume either a perfectly FIFO traffic or a perfectly non-FIFO traffic. Although we assume a single-flow highway traffic model, the improvement takes into account lane changes close to merges and diverges. Thus the traffic is neither perfectly FIFO nor perfectly non-FIFO and so outflows at junctions depend considerably on junction topology, traffic distribution in lanes and driver behaviour. As a consequence, this article suggests a simple improvement of the description of merges and diverges which takes into account some of these factors. With respect to the previous models, the best improvement concerns the outflow forecasting on an uncongested exit of a diverge when the other exit is congested

Comparative study of macroscopic traffic flow models at road junctions

“…We observe that a close model which describes traffic on a multilane highway under the hypotheses that traffic is neither perfectly FIFO nor perfectly non-FIFO has been introduced in [22]. Here, we compare the multilane multi-population model (29) to the LWR model for a diverging junction, both in the case of a FIFO rule and of a non-FIFO rule at the junction, see Section 2.3.…”

“…The space and time mesh are defined as in Section 4.1. The initial data on each lane, ρ o,1 and ρ o,2 , are approximated by ρ 0 1,k and ρ 0 2,k , for k ∈ Z, as in (22), then distinguished on the negative part of the x-axis according to their target lane: for k ≤ −1…”