Analysis of a Car-Following Model with Driver Memory Effect

被引：5

作者：

Xin, Zhi ^{[1
]}

Xu, Jian ^{[1
]}

机构：

[1] Tongji Univ, Sch Aerosp Engn & Appl Mech, Shanghai 200092, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2015年 / 25卷 / 04期

关键词：

Traffic flow; car-following model; memory effect; hysteresis; stability; TRAFFIC FLOW; DIAGRAM;

D O I：

10.1142/S0218127415500571

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A nonlinear car-following model considering memory effect of human drivers is studied by means of theoretical analysis and numerical simulation. We model the memory effect of the response of drivers to the traffic situation for a car-following model by introducing a system variable related to velocity. The memory effect of the drivers is a kind of state-dependent delay. The stability of the car-following model with two kinds of time delay is studied. The hysteresis loop of traffic flow from different initial states is compared. The effect of the maximum time delay on the stability is discussed.

引用

页数：7

共 22 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] Analysis of optimal velocity model with explicit delay [J].

Bando, M ;

Hasebe, K ;

Nakanishi, K ;

Nakayama, A .

PHYSICAL REVIEW E, 1998, 58 (05) :5429-5435

[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]

Engelborghs K., 2001, Technical report

[6] 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

[7] Traffic and related self-driven many-particle systems [J].

Helbing, D .

REVIEWS OF MODERN PHYSICS, 2001, 73 (04) :1067-1141

[8] Full velocity difference model for a car-following theory [J].

Jiang, R ;

Wu, QS ;

Zhu, ZJ .

PHYSICAL REVIEW E, 2001, 64 (01) :4-017101

[9]

Kerner B.S., 2004, The Physics of Traffic

[10] Origin of synchronized traffic flow on highways and its dynamic phase transitions [J].

Lee, HY ;

Lee, HW ;

Kim, D .

PHYSICAL REVIEW LETTERS, 1998, 81 (05) :1130-1133

← 1 2 3 →