Modeling multilane traffic with moving obstacles by nonlocal balance laws
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 …
remaining balance laws both by a nonlocal velocity function that takes into account the …
Models for dense multilane vehicular traffic
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 …
following the traditional Lighthill--Whitham--Richards model where the velocity in each lane …
Network models for nonlocal traffic flow
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 …
function. The modeling framework includes suitable coupling conditions at intersections to …
A multilane macroscopic traffic flow model for simple networks
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 …
Risebro, SIAM J. Math. Anal., 51 (2019), pp. 3694--3713, describing macroscopically the …
A mean field game approach for multi-lane traffic management
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 …
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 …
pointing out their main characteristics and possible drawbacks. The presentation is …
Non local balance laws in traffic models and crystal growth
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 …
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
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 …
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
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 …
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 …
FLOW PROBLEMS A DISSERTATION SUBMITTED TO THE INSTITUTE FOR Page 1 …