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

2012 ◽  
Vol 391 (23) ◽  
pp. 5971-5977 ◽  
Author(s):  
G.H. Peng
Keyword(s):  
Numerical Simulation ◽  
Traffic Flow ◽  
Lattice Model ◽  
Anticipation Effect

A NEW LATTICE MODEL OF TWO-LANE TRAFFIC FLOW WITH THE CONSIDERATION OF MULTI-ANTICIPATION EFFECT

2013 ◽  
Vol 24 (07) ◽  
pp. 1350048 ◽  
Author(s):  
GUANGHAN PENG
Keyword(s):  
Numerical Simulation ◽  
Stability Analysis ◽  
Traffic Flow ◽  
Linear Stability ◽  
Lattice Model ◽  
Mkdv Equation ◽  
Stable Region ◽  
Lane Changing ◽  
Traffic Jam ◽  
Anticipation Effect

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.

Nonlinear analysis of lattice model with the consideration of multiple optimal current differences for two-lane freeway

2015 ◽  
Vol 29 (04) ◽  
pp. 1550006 ◽  
Author(s):  
Guanghan Peng
Keyword(s):  
Numerical Simulation ◽  
Stability Analysis ◽  
Nonlinear Analysis ◽  
Traffic Flow ◽  
Linear Stability ◽  
Lattice Model ◽  
Mkdv Equation ◽  
Traffic System ◽  
Optimal Current ◽  
The Stability

In this paper, a new lattice model is proposed with the consideration of the multiple optimal current differences for two-lane traffic system. The linear stability condition and the mKdV equation are obtained with the considered multiple optimal current differences effect by making use of linear stability analysis and nonlinear analysis, respectively. Numerical simulation shows that the multiple optimal current differences effect can efficiently improve the stability of two-lane traffic flow. Furthermore, the three front sites considered, is the optimal state of two-lane freeway.

The effect of interruption probability in lattice model of two-lane traffic flow with passing

2016 ◽  
Vol 27 (05) ◽  
pp. 1650050 ◽  
Author(s):  
Guanghan Peng
Keyword(s):  
Numerical Simulation ◽  
Stability Analysis ◽  
Traffic Flow ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Stability Condition ◽  
Lattice Model ◽  
Mkdv Equation ◽  
Reaction Coefficient ◽  
The Stability

A new lattice model is proposed by taking into account the interruption probability with passing for two-lane freeway. The effect of interruption probability with passing is investigated about the linear stability condition and the mKdV equation through linear stability analysis and nonlinear analysis, respectively. Furthermore, numerical simulation is carried out to study traffic phenomena resulted from the interruption probability with passing in two-lane system. The results show that the interruption probability with passing can improve the stability of traffic flow for low reaction coefficient while the interruption probability with passing can destroy the stability of traffic flow for high reaction coefficient on two-lane highway.

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

2015 ◽  
Vol 29 (28) ◽  
pp. 1550174 ◽  
Author(s):  
Guanghan Peng
Keyword(s):  
Numerical Simulation ◽  
Linear Stability ◽  
Lattice Model ◽  
Mkdv Equation ◽  
Lane Changing ◽  
Traffic System ◽  
Driver’S Anticipation Effect ◽  
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.

Multiple Lattices Model of Traffic Flow with Relative Current

2012 ◽  
Vol 178-181 ◽  
pp. 2784-2787
Author(s):  
Guang Han Peng
Keyword(s):  
Numerical Simulation ◽  
Theoretical Analysis ◽  
Traffic Flow ◽  
Linear Stability ◽  
Stability Condition ◽  
Lattice Model ◽  
Stability Theory ◽  
Linear Stability Theory ◽  
Proposed Model

A new lattice model of traffic flow is proposed by considering the information of front multiple sites with relative current. The linear stability condition is obtained by using the linear stability theory. Numerical simulation shows that the proposed model is consistent with the theoretical analysis.

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

2012 ◽  
Vol 376 (4) ◽  
pp. 447-451 ◽  
Author(s):  
G.H. Peng ◽  
X.H. Cai ◽  
C.Q. Liu ◽  
M.X. Tuo
Keyword(s):  
Traffic Flow ◽  
Lattice Model ◽  
Lane Changing ◽  
Anticipation Effect
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