Derivation and Stability Analysis of a Macroscopic Multilane Model for Traffic Flow

SIAM Journal on Applied Mathematics, vol. 83, pp. 2052–2072

Abstract

Abstract. The mathematical modeling and the stability analysis of multilane traffic in the macroscopic scale is considered. We propose a new first order model derived from microscopic dynamics with lane changing, leading to a coupled system of hyperbolic balance laws. The macroscopic limit is derived without assuming ad hoc space and time scalings. The analysis of the stability of the equilibria of the model is discussed. The proposed numerical tests confirm the theoretical findings between the macroscopic and microscopic modeling, and the results of the stability analysis.

Authors 3

1. Matteo Piu

   Sapienza University of Rome

   Affiliation as printed

   Corresponding author. Department of Basic and Applied Sciences for Engineering, Sapienza - University of Rome, Rome, Italy

2. Michaël Herty Aachen Institute of Applied Mathematics

   RWTH Aachen University

   Affiliation as printed

   Institute of Applied Mathematics, RWTH Aachen University, Aachen, Germany

3. Gabriella Puppo

   Sapienza University of Rome

   Affiliation as printed

   Department of Mathematics, Sapienza - University of Rome, Rome, Italy