Equivalence of linear response among extended optimal velocity models

被引:76
作者
Hasebe, K [1 ]
Nakayama, A
Sugiyama, Y
机构
[1] Aichi Univ, Fac Business Adm, Aichi 4700296, Japan
[2] Gifu Keizai Univ, Gifu 5038550, Japan
[3] Nagoya Univ, Grad Sch Informat Sci, Dept Complex Syst Sci, Nagoya, Aichi 4648601, Japan
来源
PHYSICAL REVIEW E | 2004年 / 69卷 / 01期
关键词
D O I
10.1103/PhysRevE.69.017103
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We investigate the property of extended optimal velocity (OV) models of traffic flow, in which a driver looks at arbitrary number of vehicles that precede. We prove an equivalence of linear response among extended models. This equivalence provides a natural understanding of the improvement of the stability of traffic flow.
引用
收藏
页数:3
相关论文
共 15 条
[1]   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
[2]  
BANDO M, 1995, J PHYS I, V5, P1389, DOI 10.1051/jp1:1995206
[3]  
Bando M., 1994, Japan Journal of Industrial and Applied Mathematics, V11, P203
[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]   Dynamical model of a cooperative driving system for freeway traffic [J].
Hasebe, K ;
Nakayama, A ;
Sugiyama, Y .
PHYSICAL REVIEW E, 2003, 68 (02) :6
[6]  
HASEBE K, 1997, P 3 S SIM TRAFF FLOW, P6
[7]  
Hayakawa H, 1998, PROG THEOR PHYS SUPP, P57, DOI 10.1143/PTPS.130.57
[8]   Traffic and related self-driven many-particle systems [J].
Helbing, D .
REVIEWS OF MODERN PHYSICS, 2001, 73 (04) :1067-1141
[9]  
Helbing D., 2000, Traffic and Granular Flow'99: Social, Traffic and Granular Dynamics
[10]   Multi-anticipative car-following model [J].
Lenz, H ;
Wagner, CK ;
Sollacher, R .
EUROPEAN PHYSICAL JOURNAL B, 1999, 7 (02) :331-335