Jam emergence on a circular track in a car-following model

被引:10
作者
Davis, L. C.
机构
[1] Plymouth, MI 48170
关键词
Traffic jam emergence; Three-phase theory; Fundamental diagram; TRAFFIC FLOW; SIMULATION; DIAGRAM; STATES; WAVES; PHASE;
D O I
10.1016/j.physa.2010.10.038
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A discrete car-following model (a linear version of the Optimal Velocity Model) is evaluated for vehicles moving on a circular track. The model imposes physical limits on acceleration and deceleration. Braking is treated using a version of Gipps' safety condition and incorporates the reaction time of drivers. Simulations with two versions of the model, one with a unique velocity headway relationship and another with a non-unique relationship, show spontaneous emergence of a jam in agreement with the experiment of Sugiyama et al. [Y. Sugiyama, M. Fukui, M. Kikuchi, K. Hasebe, A. Nakayama, K. Nishinari, S. Tadaki, S. Yukawa, New.J. Phys. 10 (2008) 033001]. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:943 / 950
页数:8
相关论文
共 24 条
[1]  
[Anonymous], PHYS TRAFFIC
[2]  
[Anonymous], 2000, Transportation human factors, DOI DOI 10.1207/STHF02031
[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]   Modifications of the optimal velocity traffic model to include delay due to driver reaction time [J].
Davis, LC .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2003, 319 :557-567
[5]   Effect of cooperative merging on the synchronous flow phase of traffic [J].
Davis, LC .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2006, 361 (02) :606-618
[6]   Multilane simulations of traffic phases [J].
Davis, LC .
PHYSICAL REVIEW E, 2004, 69 (01) :6
[7]   Self-sustained nonlinear waves in traffic flow [J].
Flynn, M. R. ;
Kasimov, A. R. ;
Nave, J. -C. ;
Rosales, R. R. ;
Seibold, B. .
PHYSICAL REVIEW E, 2009, 79 (05)
[8]   NONLINEAR FOLLOW-THE-LEADER MODELS OF TRAFFIC FLOW [J].
GAZIS, DC ;
HERMAN, R ;
ROTHERY, RW .
OPERATIONS RESEARCH, 1961, 9 (04) :545-567
[10]   Phase diagram of traffic states in the presence of inhomogeneities [J].
Helbing, D ;
Hennecke, A ;
Treiber, M .
PHYSICAL REVIEW LETTERS, 1999, 82 (21) :4360-4363