A Macroscopic Traffic Model based on Driver Reaction and Traffic Stimuli

A new macroscopic traffic flow model is proposed, which considers driver presumption based on driver reaction and traffic stimuli. The Payne–Whitham (PW) model characterizes the traffic flow based on a velocity constant C 0 which results in unrealistic density and velocity behavior. Conversely, the proposed model characterizes traffic behavior with velocities based on the distance headway. The performance of the proposed and PW models is evaluated over a 300 m circular road for an inactive bottleneck. The results obtained show that the traffic behavior with the proposed model is more realistic.

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Evolvement law of a macroscopic traffic model accounting for density-dependent relaxation time

Modern Physics Letters B ◽

10.1142/s0217984917502918 ◽

2017 ◽

Vol 31 (31) ◽

pp. 1750291 ◽

Cited By ~ 19

Author(s):

Yu-Qing Wang ◽

Xing-Jian Chu ◽

Chao-Fan Zhou ◽

Bin Jia ◽

Sen Lin ◽

...

Keyword(s):

Relaxation Time ◽

Traffic Flow ◽

Flow Model ◽

Initial Density ◽

Traffic Model ◽

Traffic Flow Model ◽

Density Dependent ◽

Macroscopic Traffic Flow ◽

Boundary Perturbations ◽

Initial Density Distribution

In this paper, a modified macroscopic traffic flow model is presented. The term of the density-dependent relaxation time is introduced here. The relation between the relaxation time and the density in traffic flow is presented quantitatively. Besides, a factor R depicting varied properties of traffic flow in different traffic states is also introduced in the formulation of the model. Furthermore, the evolvement law of traffic flow with distinctly initial density distribution and boundary perturbations is emphasized.

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An extended microscopic traffic flow model based on the spring-mass system theory

Modern Physics Letters B ◽

10.1142/s0217984917500907 ◽

2017 ◽

Vol 31 (09) ◽

pp. 1750090 ◽

Cited By ~ 8

Author(s):

Yongfu Li ◽

Wenbo Chen ◽

Srinivas Peeta ◽

Xiaozheng He ◽

Taixiong Zheng ◽

...

Keyword(s):

System Theory ◽

Traffic Flow ◽

Flow Model ◽

System Stability ◽

Mass System ◽

Scaling Properties ◽

Traffic Flow Model ◽

Model Based ◽

Proposed Model ◽

The Stability

This study proposes a new microscopic traffic flow model based on the spring-mass system theory. In particular, considering the similarity between the acceleration or deceleration behavior in traffic flow and the scaling properties of a spring, a car-following (CF) model is proposed based on the fundamental physical law of the spring-mass system. Stability of the proposed model is analyzed using the perturbation method to obtain the stability condition. Numerical experiments are performed through simulation. The results demonstrate the proposed model can capture the characteristic of propagation backwards of disturbance in traffic flow. In addition, the findings of this study provide insights in modeling traffic flow from the mechanical system theory perspective.

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Design of an adaptive maximum likelihood estimator for key parameters in macroscopic traffic flow model based on expectation maximum algorithm

IET Science Measurement & Technology ◽

10.1049/iet-smt.2010.0122 ◽

2011 ◽

Vol 5 (5) ◽

pp. 189-197 ◽

Cited By ~ 3

Author(s):

A. Ramezani ◽

A. Rahimi Khan ◽

B. Moshiri ◽

B. Abdulhai

Keyword(s):

Maximum Likelihood ◽

Maximum Likelihood Estimator ◽

Traffic Flow ◽

Flow Model ◽

Likelihood Estimator ◽

Traffic Flow Model ◽

Model Based ◽

Macroscopic Traffic Flow

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Macroscopic Traffic Flow Model based Dynamic Road Traffic Lights Management Framework

Indian Journal of Science and Technology ◽

10.17485/ijst/2015/v8i30/75970 ◽

2015 ◽

Vol 8 (1) ◽

pp. 1-6

Author(s):

Pardeep Mittal

Keyword(s):

Traffic Flow ◽

Flow Model ◽

Road Traffic ◽

Management Framework ◽

Traffic Flow Model ◽

Traffic Lights ◽

Model Based ◽

Macroscopic Traffic Flow

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Macroscopic Traffic Flow Model based Dynamic Road Traffic Lights Management Framework

Indian Journal of Science and Technology ◽

10.17485/ijst/2015/v8i1/75970 ◽

2015 ◽

Vol 8 (33) ◽

Author(s):

Pardeep Mittal ◽

Yashpal Singh ◽

Yogesh Sharma

Keyword(s):

Traffic Flow ◽

Flow Model ◽

Road Traffic ◽

Management Framework ◽

Traffic Flow Model ◽

Traffic Lights ◽

Model Based ◽

Macroscopic Traffic Flow

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Theoretical analysis of bifurcations in a microscopic traffic model accounting for optimal velocity

Modern Physics Letters B ◽

10.1142/s021798491750244x ◽

2017 ◽

Vol 31 (27) ◽

pp. 1750244 ◽

Cited By ~ 22

Author(s):

Yu-Qing Wang ◽

Bo-Wen Yan ◽

Chao-Fan Zhou ◽

Xing-Jian Chu ◽

De-Chen Zhang ◽

...

Keyword(s):

Numerical Simulation ◽

Stability Analysis ◽

Theoretical Analysis ◽

Traffic Flow ◽

Flow Model ◽

Traffic Model ◽

Simulation Experiments ◽

Optimal Velocity ◽

Traffic Flow Model ◽

Proposed Model

In this paper, a modified microscopic traffic flow model accounting for the optimal velocity has been proposed. Different with previous models, drivers’ response ability and the maximum of accelerations are considered in the term of the optimal velocity. The effect of parameters in the term of the optimal velocity on bifurcations in the rotary traffic is studied here. Besides, the evolvement of bifurcations in the system is calculated by performing numerical simulation experiments. Moreover, the linear stability analysis of the proposed model is presented.

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