A macro traffic flow model accounting for real-time traffic state

被引:39
作者
Tang, Tie-Qiao [1 ,2 ]
Chen, Liang [1 ]
Wu, Yong-Hong [2 ]
Caccetta, Lou [2 ]
机构
[1] Beihang Univ, Sch Transportat Sci & Engn, Beijing Key Lab Cooperat Vehicle Infrastruct Syst, Beijing 100191, Peoples R China
[2] Curtin Univ, Dept Math & Stat, Perth, WA 6845, Australia
基金
中国国家自然科学基金;
关键词
Traffic flow; Real-time traffic state; Uniform flow; Small perturbation; CAR-FOLLOWING MODEL; CONTINUUM MODEL; THEORETICAL-ANALYSIS; DYNAMICAL MODEL; SHOCK-WAVES; TRANSITION; EQUATION; VELOCITY; SYSTEM; FORCE;
D O I
10.1016/j.physa.2015.05.054
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, we propose a traffic flow model to study the effects of the real-time traffic state on traffic flow. The numerical results show that the proposed model can describe oscillation in traffic and stop-and-go traffic, where the speed-density relationship is qualitatively accordant with the empirical data of the Weizikeng segment of the Badaling free-way in Beijing, which means that the proposed model can qualitatively reproduce some complex traffic phenomena associated with real-time traffic state. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码:55 / 67
页数:13
相关论文
共 68 条
[1]  
Ahmed Kazi Iftekhar, 1999, PhD diss
[2]   Resurrection of "second order" models of traffic flow [J].
Aw, A ;
Rascle, M .
SIAM JOURNAL ON APPLIED MATHEMATICS, 2000, 60 (03) :916-938
[3]   DYNAMICAL MODEL OF TRAFFIC CONGESTION AND NUMERICAL-SIMULATION [J].
BANDO, M ;
HASEBE, K ;
NAKAYAMA, A ;
SHIBATA, A ;
SUGIYAMA, Y .
PHYSICAL REVIEW E, 1995, 51 (02) :1035-1042
[4]   Asymptotic limits of a discrete Kinetic Theory model of vehicular traffic [J].
Bellouquid, Abdelghani ;
Delitala, Marcello .
APPLIED MATHEMATICS LETTERS, 2011, 24 (05) :672-678
[5]   Statistical physics of vehicular traffic and some related systems [J].
Chowdhury, D ;
Santen, L ;
Schadschneider, A .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2000, 329 (4-6) :199-329
[6]   Requiem for second-order fluid approximations of traffic flow [J].
Daganzo, CF .
TRANSPORTATION RESEARCH PART B-METHODOLOGICAL, 1995, 29 (04) :277-286
[7]   Three new models for the flow-density relationship: derivation and testing for freeway and urban data [J].
del Castillo, Jose M. .
TRANSPORTMETRICA, 2012, 8 (06) :443-465
[8]   Mathematical modeling of vehicular traffic: A discrete kinetic theory approach [J].
Delitala, Marcello ;
Tosin, Andrea .
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2007, 17 (06) :901-932
[9]   NONLINEAR FOLLOW-THE-LEADER MODELS OF TRAFFIC FLOW [J].
GAZIS, DC ;
HERMAN, R ;
ROTHERY, RW .
OPERATIONS RESEARCH, 1961, 9 (04) :545-567
[10]   The theoretical analysis of the lattice hydrodynamic models for traffic flow theory [J].
Ge, H. X. ;
Cheng, R. J. ;
Lei, L. .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2010, 389 (14) :2825-2834