A new lattice model of traffic flow considering driver’s anticipation effect of the traffic interruption probability

In this paper, a new two-lane lattice model of traffic flow is proposed with the consideration of multi-anticipation effect. The linear stability condition of two-lane traffic is derived with the multi-anticipation effect term by linear stability analysis, which shows that the stable region enlarges with the number of multi-anticipation sites increasing. Nonlinear analysis near the critical point is carried out to obtain kink–antikink soliton solution of the mKdV equation with the multi-anticipation effect term. Numerical simulation also shows that the multi-anticipation effect can suppress the traffic jam efficiently with lane changing in two-lane system.

A study of wide moving jams in a new lattice model of traffic flow with the consideration of the driver anticipation effect and numerical simulation

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2012.07.039 ◽

2012 ◽

Vol 391 (23) ◽

pp. 5971-5977 ◽

Cited By ~ 24

Author(s):

G.H. Peng

Keyword(s):

Numerical Simulation ◽

Traffic Flow ◽

Lattice Model ◽

A traffic flow lattice model with the consideration of driver anticipation effect and its numerical simulation

Acta Physica Sinica ◽

10.7498/aps.60.068901 ◽

2011 ◽

Vol 60 (6) ◽

pp. 068901

Author(s):

Sun Di-Hua ◽

Tian Chuan

Keyword(s):

Numerical Simulation ◽

Traffic Flow ◽

Lattice Model ◽

The driver’s anticipation effect with passing in lattice model for two-lane freeway

Modern Physics Letters B ◽

10.1142/s0217984915501742 ◽

2015 ◽

Vol 29 (28) ◽

pp. 1550174 ◽

Cited By ~ 6

Author(s):

Guanghan Peng

Keyword(s):

Numerical Simulation ◽

Linear Stability ◽

Lattice Model ◽

Mkdv Equation ◽

Lane Changing ◽

Traffic System ◽

The Stability ◽

Anticipation Effect ◽

Anticipation Effects

In this paper, a new lattice model is proposed with the consideration of the driver’s anticipation effect with passing for two-lane traffic system. The linear stability condition and the mKdV equation which are correlative to the driver’s anticipation effect with passing are derived from linear stability analysis and nonlinear analysis, respectively. Numerical simulation shows that the driver’s anticipation effects with passing can efficiently enhance the stability of traffic flow under lane changing on two-lane highway.

Analyses of driver’s anticipation effect in sensing relative flux in a new lattice model for two-lane traffic system

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2013.07.040 ◽

2013 ◽

Vol 392 (22) ◽

pp. 5622-5632 ◽

Cited By ~ 173

Author(s):

Arvind Kumar Gupta ◽

Poonam Redhu

Keyword(s):

Lattice Model ◽

Traffic System ◽

A new lattice model of traffic flow with the anticipation effect of potential lane changing

Physics Letters A ◽

10.1016/j.physleta.2011.11.058 ◽

2012 ◽

Vol 376 (4) ◽

pp. 447-451 ◽

Cited By ~ 89

Author(s):

G.H. Peng ◽

X.H. Cai ◽

C.Q. Liu ◽

M.X. Tuo

Keyword(s):

Traffic Flow ◽

Lattice Model ◽

Lane Changing ◽

Analyses of the driver’s anticipation effect in a new lattice hydrodynamic traffic flow model with passing

Nonlinear Dynamics ◽

10.1007/s11071-013-1183-2 ◽

2013 ◽

Vol 76 (2) ◽

pp. 1001-1011 ◽

Cited By ~ 110

Author(s):

Arvind Kumar Gupta ◽

Poonam Redhu

Keyword(s):

Traffic Flow ◽

Flow Model ◽

Traffic Flow Model ◽

A new lattice model of the traffic flow with the consideration of the driver anticipation effect in a two-lane system

Nonlinear Dynamics ◽

10.1007/s11071-013-0850-7 ◽

2013 ◽

Vol 73 (1-2) ◽

pp. 1035-1043 ◽

Cited By ~ 63

Author(s):

Guanghan Peng

Keyword(s):

Traffic Flow ◽

Lattice Model ◽

Proceedings of the 2015 International Conference on Electrical, Automation and Mechanical Engineering ◽

A New Optimal Velocity Control Function Considering Driver’s Anticipation Effect

10.2991/eame-15.2015.59 ◽

2015 ◽

Author(s):

B.G. Cao

Keyword(s):

Control Function ◽

Velocity Control ◽

Optimal Velocity ◽

A two-lane lattice model considering taillight effect and man–machine hybrid driving

Modern Physics Letters B ◽

10.1142/s0217984920503650 ◽

2020 ◽

Vol 34 (32) ◽

pp. 2050365

Author(s):

Siyuan Chen ◽

Changxi Ma ◽

Jinchou Gong

Keyword(s):

Traffic Flow ◽

Lattice Model ◽

Critical Density ◽

Mkdv Equation ◽

Flow Stability ◽

Stability Conditions ◽

Neutral Stability ◽

Nonlinear Stability Analysis ◽

Traffic Flow Stability ◽

The Stability

At present, drivers can rely on road communication technology to obtain the current traffic status information, and the development of intelligent transportation makes self-driving possible. In this paper, considering the mixed traffic flow with self-driving vehicles and the taillight effect, a new macro-two-lane lattice model is established. Combined with the concept of critical density, the judgment conditions for vehicles to take braking measures are given. Based on the linear analysis, the stability conditions of the new model are obtained, and the mKdV equation describing the evolution mechanism of density waves is derived through the nonlinear stability analysis. Finally, with the help of numerical simulation, the phase diagram and kink–anti-kink waveform of neutral stability conditions are obtained, and the effects of different parameters of the model on traffic flow stability are analyzed. The results show that the braking probability, the proportion of self-driving vehicles and the critical density have significant effects on the traffic flow stability. Considering taillight effect and increasing the mixing ratio of self-driving vehicles can effectively enhance the stability of traffic flow, but a larger critical density will destroy the stability of traffic flow.