Optimal velocity model with dual boundary optimal velocity function

A generalized optimal velocity model is analyzed, where the optimal velocity function depends not only on the headway of each car but also the headway of the immediately preceding one. The stability condition of the model is derived by considering a small perturbation around the homogeneous flow solution. The effect of the generalized optimal velocity function is also confirmed with numerical simulations, by examining the hysteresis loop in the headway-velocity phase space, and the relation between the flow and density of cars. In the model with a specific parameter choice, it is found that an intermediate state appears for the movement of cars, where the car keeps a certain velocity whether the headway is short or long. This phenomenon is different from the ordinary stop-and-go state.

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2204 Simulation of City Traffic Flow by Stochastic Velocity Model with Optimal Velocity Function

The Proceedings of The Computational Mechanics Conference ◽

10.1299/jsmecmd.2010.23.474 ◽

2010 ◽

Vol 2010.23 (0) ◽

pp. 474-475

Author(s):

Yuya YOSHIKAWA ◽

Yukiko WAKITA ◽

Hikaru SHIMIZU ◽

Tatsuhiro TAMAKI ◽

Eisuke KITA

Keyword(s):

Traffic Flow ◽

Velocity Model ◽

Velocity Function ◽

Optimal Velocity ◽

Optimal Velocity Function

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Bifurcation control of optimal velocity model through anticipated effect and response time-delay feedback methods

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2021.125972 ◽

2021 ◽

pp. 125972

Author(s):

Xueyi Guan ◽

Rongjun Cheng ◽

Hongxia Ge

Keyword(s):

Time Delay ◽

Response Time ◽

Velocity Model ◽

Bifurcation Control ◽

Optimal Velocity ◽

Optimal Velocity Model

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OPTIMAL VELOCITY MODEL WITH RELATIVE VELOCITY

International Journal of Modern Physics C ◽

10.1142/s0129183106009084 ◽

2006 ◽

Vol 17 (01) ◽

pp. 65-73 ◽

Cited By ~ 5

Author(s):

SHIRO SAWADA

Keyword(s):

Nonlinear Analysis ◽

Relative Velocity ◽

Velocity Model ◽

Fundamental Diagram ◽

Optimal Velocity ◽

Traffic Jam ◽

Optimal Velocity Model ◽

Linear And Nonlinear ◽

The Stability ◽

Good Agreement

The optimal velocity model which depends not only on the headway but also on the relative velocity is analyzed in detail. We investigate the effect of considering the relative velocity based on the linear and nonlinear analysis of the model. The linear stability analysis shows that the improvement in the stability of the traffic flow is obtained by taking into account the relative velocity. From the nonlinear analysis, the relative velocity dependence of the propagating kink solution for traffic jam is obtained. The relation between the headway and the velocity and the fundamental diagram are examined by numerical simulation. We find that the results by the linear and nonlinear analysis of the model are in good agreement with the numerical results.

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A New Car-Following Model with Consideration of Dynamic Safety Distance

Discrete Dynamics in Nature and Society ◽

10.1155/2018/5326947 ◽

2018 ◽

Vol 2018 ◽

pp. 1-5

Author(s):

Tao Wang ◽

Jing Zhang ◽

Guangyao Li ◽

Keyu Xu ◽

Shubin Li

Keyword(s):

Traffic Flow ◽

Velocity Model ◽

Safe Distance ◽

Optimal Velocity ◽

New Model ◽

Car Following ◽

Optimal Velocity Model ◽

Safety Distance ◽

Car Following Model ◽

The Impact

In the traditional optimal velocity model, safe distance is usually a constant, which, however, is not representative of actual traffic conditions. This paper attempts to study the impact of dynamic safety distance on vehicular stream through a car-following model. Firstly, a new car-following model is proposed, in which the traditional safety distance is replaced by a dynamic term. Then, the phase diagram in the headway, speed, and sensitivity spaces is given to illustrate the impact of a variable safe distance on traffic flow. Finally, numerical methods are conducted to examine the performance of the proposed model with regard to two aspects: compared with the optimal velocity model, the new model can suppress traffic congestion effectively and, for different safety distances, the dynamic safety distance can improve the stability of vehicular stream. Simulation results suggest that the new model is able to enhance traffic flow stability.

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