Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws

Abstract: 

We introduce a Follow-the-Leader approximation of a nonlocal generalized Aw--Rascle--Zhang (GARZ) model for traffic flow. We prove the convergence to weak solutions of the corresponding macroscopic equations deriving $L^\infty$ and BV estimates. We also provide numerical simulations illustrating the micro-macro convergence and we numerically investigate the nonlocal to local limit for both the microscopic and macroscopic models.

Author: 
Bayen, Alexandre
Friedrich, Jan
Keimer, Alexander
Pflug, Lukas
Veeravalli, Tanya
Publication date: 
June 30, 2022
Publication type: 
Journal Article
Citation: 
Bayen, A., Friedrich, J., Keimer, A., Pflug, L., & Veeravalli, T. (2022). Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws. SIAM Journal on Applied Dynamical Systems, 21(2), 1495–1538. https://doi.org/10.1137/20M1366654