Exactly solvable single lane highway traffic model with tollbooths

被引:11
作者
Chau, HF
Xu, H
Liu, LG
机构
[1] Univ Hong Kong, Dept Phys, Hong Kong, Hong Kong, Peoples R China
[2] Zhongshan Univ, Dept Phys, Guangzhou 510275, Guangdong, Peoples R China
关键词
exactly solvable model; statistical mechanics; traffic flow;
D O I
10.1016/S0378-4371(01)00484-8
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Tolls are collected on many highways as a means of traffic control and revenue generation. However, the presence of tollbooths on highway surely slows down traffic flow. Here, we investigate how the presence of tollbooths affect the average car speed using a simple-minded single lane deterministic discrete traffic model. More importantly, the model is exactly solvable. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:534 / 542
页数:9
相关论文
共 32 条
[1]   Dynamics of two equivalent lanes traffic flow model: Self-organization of the slow lane and fast lane [J].
Awazu, A .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1998, 67 (04) :1071-1074
[2]   SELF-ORGANIZATION AND A DYNAMIC TRANSITION IN TRAFFIC-FLOW MODELS [J].
BIHAM, O ;
MIDDLETON, AA ;
LEVINE, D .
PHYSICAL REVIEW A, 1992, 46 (10) :R6124-R6127
[3]   Phase diagram of the Biham-Middleton-Levine traffic model in three dimensions [J].
Chau, HF ;
Wan, KY .
PHYSICAL REVIEW E, 1999, 60 (05) :5301-5304
[4]   UPPER-BOUNDS FOR THE CRITICAL CAR DENSITIES IN TRAFFIC FLOW PROBLEMS [J].
CHAU, HF ;
HUI, PM ;
WOO, YF .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1995, 64 (09) :3570-3572
[5]   An improved upper bound for the critical car density of the two-dimensional Biham-Middleton-Levine traffic model [J].
Chau, HF ;
Wan, KY ;
Yan, KK .
PHYSICA A, 1998, 254 (1-2) :117-121
[6]   Particle hopping models for two-lane traffic with two kinds of vehicles: Effects of lane-changing rules [J].
Chowdhury, D ;
Wolf, DE ;
Schreckenberg, M .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1997, 235 (3-4) :417-439
[7]   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
[8]   Self-organization of traffic jams in cities: Effects of stochastic dynamics and signal periods [J].
Chowdhury, D ;
Schadschneider, A .
PHYSICAL REVIEW E, 1999, 59 (02) :R1311-R1314
[9]   2-DIMENSIONAL TRAFFIC FLOW PROBLEMS WITH FAULTY TRAFFIC LIGHTS [J].
CHUNG, KH ;
HUI, PM ;
GU, GQ .
PHYSICAL REVIEW E, 1995, 51 (01) :772-774
[10]   TRAFFIC FLOW PROBLEMS IN ONE-DIMENSIONAL INHOMOGENEOUS-MEDIA [J].
CHUNG, KH ;
HUI, PM .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1994, 63 (12) :4338-4341