STABILIZATION ANALYSIS OF A MULTIPLE LOOK-AHEAD MODEL WITH DRIVER REACTION DELAYS

被引:12
作者
Chen, Jianzhong [1 ]
Shi, Zhongke [1 ]
Hu, Yanmei [2 ]
机构
[1] Northwestern Polytech Univ, Coll Automat, Xian 710072, Shaanxi, Peoples R China
[2] Changan Univ, Coll Sci, Xian 710064, Shaanxi, Peoples R China
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 2012年 / 23卷 / 06期
基金
中国国家自然科学基金;
关键词
Multiple look-ahead model; driver reaction delays; traffic flow; stability analysis; density wave; CAR-FOLLOWING MODEL; OPTIMAL VELOCITY MODEL; REACTION-TIME DELAY; TRAFFIC FLOW MODEL; NEIGHBOR INTERACTION; JAMMING TRANSITION; DIFFERENCE MODEL; DYNAMICAL MODEL; PHYSICAL DELAY; INFORMATION;
D O I
10.1142/S0129183112500489
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
A multiple look-ahead model is extended to take into account the reaction-time delay of drivers. The stability condition of this model is obtained by using the linear stability theory. Through nonlinear analysis, the Korteweg-de Vries (KdV) equation near the neutral stability line and the modified KdV (mKdV) equation near the critical point are derived. Both the analytical and simulation results demonstrate that the stabilization of traffic flow is weakened with increasing the reaction-time delay of drivers, and multiple look-ahead consideration could partially remedy this unfavorable effect.
引用
收藏
页数:16
相关论文
共 34 条
[11]  
Haesbe K., 2004, PHYS REV E, V69
[12]   Generalized force model of traffic dynamics [J].
Helbing, D ;
Tilch, B .
PHYSICAL REVIEW E, 1998, 58 (01) :133-138
[13]   Full velocity difference model for a car-following theory [J].
Jiang, R ;
Wu, QS ;
Zhu, ZJ .
PHYSICAL REVIEW E, 2001, 64 (01) :4-017101
[14]   KdV and Kink-Antikink Solitons in an Extended Car-Following Model [J].
Jin, Yanfei ;
Xu, Meng ;
Gao, Ziyou .
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2011, 6 (01)
[15]   Multi-anticipative car-following model [J].
Lenz, H ;
Wagner, CK ;
Sollacher, R .
EUROPEAN PHYSICAL JOURNAL B, 1999, 7 (02) :331-335
[16]   Effect of multi-velocity-difference in traffic flow [J].
Mo Ye-Liu ;
He Hong-Di ;
Xue Yu ;
Shi Wei ;
Lu Wei-Zhen .
CHINESE PHYSICS B, 2008, 17 (12) :4446-4450
[17]   Jamming transition in a two-dimensional traffic flow model [J].
Nagatani, T .
PHYSICAL REVIEW E, 1999, 59 (05) :4857-4864
[18]   Thermodynamic theory for the jamming transition in traffic flow [J].
Nagatani, T .
PHYSICAL REVIEW E, 1998, 58 (04) :4271-4276
[19]   NONLINEAR EFFECTS IN THE DYNAMICS OF CAR FOLLOWING [J].
NEWELL, GF .
OPERATIONS RESEARCH, 1961, 9 (02) :209-229
[20]   Bifurcations and multiple traffic jams in a car-following model with reaction-time delay [J].
Orosz, G ;
Krauskopf, B ;
Wilson, RE .
PHYSICA D-NONLINEAR PHENOMENA, 2005, 211 (3-4) :277-293