Mesoscopic Multiclass Traffic Flow Modeling on Multi Lane Sections
The aim of this paper is to propose a new event based mesoscopic approach to model multi class traffic flow on multi lane road sections. The mesoscopic model was first proposed by Leclercq and Becarie (2012) and turns out to be equivalent to the resolution of the seminal LWR model in lagrangian space coordinates n x. It is fully consistent at a macroscopic scale with the LWR model while keeping track of individual vehicles. Our model is built on Hamilton Jacobi equations which have been proven to provide an efficient framework in traffic flow modeling for exact numerical methods at a low computational cost. The paper revisits the multi class problem with a continuous moving bottleneck approach (instead of a sequential one) introducing a capacity drop parameter for multi lane sections. It also overhauls the Daganzo diverge model with a relaxed FIFO assumption.