Stochastic multi-value cellular automata models for bicycle flow

被引:61
作者
Jiang, R [1 ]
Jia, B [1 ]
Wu, QS [1 ]
机构
[1] Univ Sci & Technol China, Sch Engn Sci, Hefei 230026, Peoples R China
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2004年 / 37卷 / 06期
关键词
D O I
10.1088/0305-4470/37/6/007
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, the stochastic randomization is introduced in two different multivalue cellular automata (CA) models in order to model the bicycle flow. It is shown that with the randomization effect considered, the multiple states in the deterministic multi-value CA models disappear and the unique flow-density relations (fundamental diagrams) exist. The fundamental diagrams, the spacetime plots of the two models, are studied in detail. It is found that the transition from free flow to congested flow is smooth in one model while it is of second order in the other model. The comparison of the results of the two models indicates that in the bicycle flow, the priority of the movement should be given to slow bicycles in order to reach a larger maximum flow rate.
引用
收藏
页码:2063 / 2072
页数:10
相关论文
共 28 条
[1]   Resurrection of "second order" models of traffic flow [J].
Aw, A ;
Rascle, M .
SIAM JOURNAL ON APPLIED MATHEMATICS, 2000, 60 (03) :916-938
[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]   Metastable states in cellular automata for traffic flow [J].
Barlovic, R ;
Santen, L ;
Schadschneider, A ;
Schreckenberg, M .
EUROPEAN PHYSICAL JOURNAL B, 1998, 5 (03) :793-800
[4]   Cellular automata models of traffic flow along a highway containing a junction [J].
Benjamin, SC ;
Johnson, NF ;
Hui, PM .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (12) :3119-3127
[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]   MASTER: macroscopic traffic simulation based on a gas-kinetic, non-local traffic model [J].
Helbing, D ;
Hennecke, A ;
Shvetsov, V ;
Treiber, M .
TRANSPORTATION RESEARCH PART B-METHODOLOGICAL, 2001, 35 (02) :183-211
[7]   Traffic and related self-driven many-particle systems [J].
Helbing, D .
REVIEWS OF MODERN PHYSICS, 2001, 73 (04) :1067-1141
[8]   Generalized force model of traffic dynamics [J].
Helbing, D ;
Tilch, B .
PHYSICAL REVIEW E, 1998, 58 (01) :133-138
[9]  
Helbing D., 2000, Traffic and Granular Flow'99: Social, Traffic and Granular Dynamics
[10]   A new continuum model for traffic flow and numerical tests [J].
Jiang, R ;
Wu, QS ;
Zhu, ZJ .
TRANSPORTATION RESEARCH PART B-METHODOLOGICAL, 2002, 36 (05) :405-419