TY - JOUR
T1 - Modeling the asymmetry in traffic flow (b)
T2 - Macroscopic approach
AU - Liu, Hongchao
AU - Xu, Hao
AU - Gong, Huaxin
PY - 2013/11/15
Y1 - 2013/11/15
N2 - In [H. Xu, H. Liu, H. Gong, Modeling the asymmetry in traffic flow (a): microscopic approach, J. Appl. Math. Model. (submitted for publication)], the asymmetric characteristic of traffic flow has been studied from a microscopic approach through the modeling of car-following behavior. This paper further discusses the asymmetric traffic flow modeling at the macroscopic scale. The microscopic asymmetric full velocity difference model is extended to a continuum traffic flow model to study the anisotropic characteristic and diffusive influence under various traffic conditions. In order to accurately solve the mathematical problem, a weighted essentially no-oscillatory (WENO) approach is applied. The performance of the model is then demonstrated through thorough evaluation against select classic models and field data. The macroscopic model is the first of its kind that is directly developed from an asymmetric car-following approach. The results show that the model is able to present many complex traffic phenomena observed in the field such as shock waves, rarefaction waves, stop-and-go waves and local cluster effects at a better level of accuracy than most of the existing models.
AB - In [H. Xu, H. Liu, H. Gong, Modeling the asymmetry in traffic flow (a): microscopic approach, J. Appl. Math. Model. (submitted for publication)], the asymmetric characteristic of traffic flow has been studied from a microscopic approach through the modeling of car-following behavior. This paper further discusses the asymmetric traffic flow modeling at the macroscopic scale. The microscopic asymmetric full velocity difference model is extended to a continuum traffic flow model to study the anisotropic characteristic and diffusive influence under various traffic conditions. In order to accurately solve the mathematical problem, a weighted essentially no-oscillatory (WENO) approach is applied. The performance of the model is then demonstrated through thorough evaluation against select classic models and field data. The macroscopic model is the first of its kind that is directly developed from an asymmetric car-following approach. The results show that the model is able to present many complex traffic phenomena observed in the field such as shock waves, rarefaction waves, stop-and-go waves and local cluster effects at a better level of accuracy than most of the existing models.
KW - Anisotropic
KW - Asymmetric car-following
KW - Continuum flow
KW - Weighted essentially no-oscillatory
UR - http://www.scopus.com/inward/record.url?scp=84885430997&partnerID=8YFLogxK
U2 - 10.1016/j.apm.2013.04.039
DO - 10.1016/j.apm.2013.04.039
M3 - Article
AN - SCOPUS:84885430997
SN - 0307-904X
VL - 37
SP - 9441
EP - 9450
JO - Applied Mathematical Modelling
JF - Applied Mathematical Modelling
IS - 22
ER -