A new dynamic model for heterogeneous traffic flow

被引:115
作者
Tang, T. Q. [1 ,2 ]
Huang, H. J. [2 ]
Zhao, S. G. [3 ]
Shang, H. Y. [4 ]
机构
[1] Beijing Univ Aeronaut & Astronaut, Sch Transportat Sci & Engn, Beijing 100191, Peoples R China
[2] Beijing Univ Aeronaut & Astronaut, Sch Econ & Management, Beijing 100191, Peoples R China
[3] Beijing Univ Aeronaut & Astronaut, Sch Aeronaut Sci & Engn, Beijing 100191, Peoples R China
[4] Tsinghua Univ, Inst Transportat Engn, Beijing 10084, Peoples R China
基金
中国国家自然科学基金;
关键词
Heterogeneous traffic flow; Car-following behavior; Dynamics model; Simulation; CONTINUUM MODEL; MULTICLASS; STABILITY; VELOCITY; WAVES;
D O I
10.1016/j.physleta.2009.05.006
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Based on the property of heterogeneous traffic flow, we in this Letter present a new car-following model. Applying the relationship between the micro and macro variables, a new dynamic model for heterogeneous traffic flow is obtained. The fundamental diagram and the jam density of the heterogeneous traffic flow consisting of bus and car are studied under three different conditions: (1) without any restrictions, (2) under the action of the traffic control policy that restrains some private cars and (3) using bus to replace the private cars restrained by the traffic control policy. The numerical results show that our model can describe some qualitative properties of the heterogeneous traffic flow consisting of bus and car, which verifies that our model is reasonable. Crown Copyright (C) 2009 Published by Elsevier B.V. All rights reserved.
引用
收藏
页码:2461 / 2466
页数:6
相关论文
共 37 条
[1]   A multiclass homogenized hyperbolic model of traffic flow [J].
Bagnerini, P ;
Rascle, M .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2003, 35 (04) :949-973
[2]   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
[3]   An n-populations model for traffic flow [J].
Benzoni-Gavage, S ;
Colombo, RM .
EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2003, 14 :587-612
[4]   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
[5]   Requiem for second-order fluid approximations of traffic flow [J].
Daganzo, CF .
TRANSPORTATION RESEARCH PART B-METHODOLOGICAL, 1995, 29 (04) :277-286
[6]   THE REACTION-TIME OF DRIVERS AND THE STABILITY OF TRAFFIC FLOW [J].
DELCASTILLO, JM ;
PINTADO, P ;
BENITEZ, FG .
TRANSPORTATION RESEARCH PART B-METHODOLOGICAL, 1994, 28 (01) :35-60
[7]  
Ge HX, 2004, PHYS REV E, V70, DOI 10.1103/PhysRevE.70.066134
[8]   A new multi-class continuum model for traffic flow [J].
Gupta, A. K. ;
Katiyar, V. K. .
TRANSPORTMETRICA, 2007, 3 (01) :73-85
[9]   Equivalence of linear response among extended optimal velocity models [J].
Hasebe, K ;
Nakayama, A ;
Sugiyama, Y .
PHYSICAL REVIEW E, 2004, 69 (01) :3
[10]   Dynamical model of a cooperative driving system for freeway traffic [J].
Hasebe, K ;
Nakayama, A ;
Sugiyama, Y .
PHYSICAL REVIEW E, 2003, 68 (02) :6