Modeling multilane traffic with moving obstacles by nonlocal balance laws

A Bayen, J Friedrich, A Keimer, L Pflug… - SIAM Journal on Applied …, 2022 - SIAM
We consider a system of nonlocal balance laws where each balance law is coupled with the
remaining balance laws both by a nonlocal velocity function that takes into account the …

Models for dense multilane vehicular traffic

H Holden, NH Risebro - SIAM Journal on Mathematical Analysis, 2019 - SIAM
We study vehicular traffic on a road with multiple lanes and dense, unidirectional traffic
following the traditional Lighthill--Whitham--Richards model where the velocity in each lane …

Network models for nonlocal traffic flow

J Friedrich, S Göttlich, M Osztfalk - ESAIM: Mathematical Modelling …, 2022 - esaim-m2an.org
We present a network formulation for a traffic flow model with nonlocal velocity in the flux
function. The modeling framework includes suitable coupling conditions at intersections to …

A multilane macroscopic traffic flow model for simple networks

P Goatin, E Rossi - SIAM Journal on Applied Mathematics, 2019 - SIAM
We prove the well-posedness of a system of balance laws inspired by H. Holden and NH
Risebro, SIAM J. Math. Anal., 51 (2019), pp. 3694--3713, describing macroscopically the …

A mean field game approach for multi-lane traffic management

A Festa, S Göttlich - IFAC-PapersOnLine, 2018 - Elsevier
In this work, we discuss a Mean Field Game approach to traffic management on multi-lane
roads. The control is related to the optimal choice to change lane to reach a desired …

[PDF][PDF] Macroscopic traffic flow modelling: from kinematic waves to autonomous vehicles

P Goatin - Communications in Applied and Industrial …, 2023 - intapi.sciendo.com
This survey offers a unified up-to-date presentation of macroscopic models of traffic flow,
pointing out their main characteristics and possible drawbacks. The presentation is …

Non local balance laws in traffic models and crystal growth

RM Colombo, A Corli, MD Rosini - ZAMM‐Journal of Applied …, 2007 - Wiley Online Library
Non local balance laws in traffic models and crystal growth Page 1 ZAMM · Z. Angew. Math.
Mech. 87, No. 6, 449 – 461 (2007) / DOI 10.1002/zamm.200710327 Non local balance laws in …

A multi-scale multi-lane model for traffic regulation via autonomous vehicles

P Goatin, B Piccoli - arxiv preprint arxiv:2404.17192, 2024 - arxiv.org
We propose a new model for multi-lane traffic with moving bottlenecks, eg, autonomous
vehicles (AV). It consists of a system of balance laws for traffic in each lane, coupled in the …

Modeling of a multilane-multiple intersection based on queue theory and standard approach techniques

AC Soh, M Khalid, MH Marhaban, R Yusof - Simulation Modelling Practice …, 2009 - Elsevier
The currently available queue model for multilane traffic control is based on priority
discipline. This priority discipline based technique is not suitable to be applied for multilane …

Nonlinear Coupled Systems of Pdes for Modeling of Multi-Lane Traffic Flow Problems

N Saad - 2023 - search.proquest.com
NONLINEAR COUPLED SYSTEMS OF PDES FOR MODELING OF MULTI-LANE TRAFFIC
FLOW PROBLEMS A DISSERTATION SUBMITTED TO THE INSTITUTE FOR Page 1 …