Open AccessMacroscopic modeling of lane‐changing for two‐lane traffic flow
Author(s) -
Tang TieQiao,
Wong S. C.,
Huang HaiJun,
Zhang Peng
Publication year - 2009
Publication title -
journal of advanced transportation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.577
H-Index - 46
eISSN - 2042-3195
pISSN - 0197-6729
DOI - 10.1002/atr.5670430302
Subject(s) - traffic flow (computer networking) , flow (mathematics) , traffic wave , mechanics , volumetric flow rate , instability , simulation , disturbance (geology) , stability (learning theory) , microscopic traffic flow model , statistical physics , three phase traffic theory , density wave theory , control theory (sociology) , computer science , mathematics , transport engineering , physics , geology , traffic congestion reconstruction with kerner's three phase theory , statistics , engineering , traffic congestion , traffic generation model , computer security , control (management) , condensed matter physics , machine learning , artificial intelligence , paleontology
We propose a macroscopic model of lane‐changing that is consistent with car‐following behavior on a two‐lane highway. Using linear stability theory, we find that lane‐changing affects the stable region and the propagation speeds of the first‐order and second‐order waves. In analyzing a small disturbance, our model effectively reproduces certain non‐equilibrium traffic‐flow phenomena—small disturbance instability, stop‐and‐go waves, and local clusters that are affected by lane‐changing. The model also gives the flow‐density relationships in terms of the actual flow rate, the lane‐changing rate, and the difference between the potential flow rate (the flow rate that would have occurred without lane‐changing) and the actual flow rate. The relationships between the actual flow rate and traffic density and between the lane‐changing rate and traffic density follow a reverse‐lambda shape, which is largely consistent with observed traffic phenomena.