A new macro model for traffic flow considering the driver's delay effect

2013 ◽  
Author(s):  
Tao Wang
Keyword(s):  
Traffic Flow ◽  
Delay Effect ◽  
Macro Model

scholarly journals An Improved Macro Model of Traffic Flow with the Consideration of Ramps and Numerical Tests

2015 ◽  
Vol 2015 ◽  
pp. 1-13 ◽  
Author(s):  
Zhongke Shi ◽  
Wenhuan Ai ◽  
Dawei Liu
Keyword(s):  
Traffic Flow ◽  
Phase Plane ◽  
Macro Model ◽  
Traffic Jams ◽  
Numerical Tests ◽  
Stop And Go ◽  
Point Equation ◽  
Improved Model ◽  
The Relationship ◽  
Real Traffic

We present an improved macro model for traffic flow based on the existing models. The equilibrium point equation of the model is obtained. The stop-and-go traffic phenomenon is described in phase plane and the relationship between traffic jams and system instability is clearly shown in the phase plane diagrams. Using the improved model, some traffic phenomena on a highway with ramps are found in this paper. The numerical simulation is carried out to investigate various nonlinear traffic phenomena with a single ramp generated by different initial densities and vehicle generation rates. According to the actual road sections of Xi’an-Baoji highways, the situations of morning peak with several ramps are also analyzed. All these results are consistent with real traffic, which shows that the improved model is reasonable.

A New Macro Model for Traffic Flow on a Highway with Bus Stop

2011 ◽  
Vol 55 (6) ◽  
pp. 1113-1118 ◽  
Author(s):  
Tie-Qiao Tang ◽  
Yan-Feng Shi ◽  
Hai-Jun Huang ◽  
Hua-Yan Shang
Keyword(s):  
Traffic Flow ◽  
Macro Model ◽  
Bus Stop

A new macro model of traffic flow by incorporating both timid and aggressive driving behaviors

2016 ◽  
Vol 30 (29) ◽  
pp. 1650351 ◽  
Author(s):  
Guanghan Peng ◽  
Li Qing
Keyword(s):  
Shock Wave ◽  
Traffic Flow ◽  
Stable Range ◽  
Rarefaction Waves ◽  
Aggressive Driving ◽  
Local Cluster ◽  
Optimal Velocity ◽  
Macro Model ◽  
Driving Behaviors ◽  
Aggressive Effect

In this paper, a novel macro model is derived from car-following model by applying the relationship between the micro and macro variables by incorporating the timid and aggressive effects of optimal velocity on a single lane. Numerical simulation shows that the timid and aggressive macro model of traffic flow can correctly reproduce common evolution of shock, rarefaction waves and local cluster effects under small perturbation. Also, the results uncover that the aggressive effect can smoothen the front of the shock wave and the timid effect results in local press peak, which means that the timid effect hastens the process of congregation in the shock wave. The more timid traffic behaviors are, the smaller is the stable range. Furthermore, the research shows that the advantage of the aggressive effect over the timid one lies in the fact that the aggressive traffic behaviors can improve the stability of traffic flow with the consideration of incorporating timid and aggressive driving behaviors at the same time.

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