OPTIMAL VELOCITY MODEL WITH RELATIVE VELOCITY

2006 ◽  
Vol 17 (01) ◽  
pp. 65-73 ◽  
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.

The Traffic Characteristics Caused by Lane Reduction Bottleneck in an Optimal Velocity Model

2011 ◽  
Vol 97-98 ◽  
pp. 935-941
Author(s):  
Jian Zhang ◽  
Xing Li Li ◽  
Zhi Peng Li ◽  
Xiang Lin Han
Keyword(s):  
Traffic Control ◽  
Periodic Boundary Condition ◽  
Periodic Boundary ◽  
Velocity Model ◽  
Speed Limit ◽  
Fundamental Diagram ◽  
Lane Changing ◽  
Optimal Velocity ◽  
Optimal Velocity Model ◽  
Traffic Characteristics

As a kind of typical bottleneck influencing the transportation seriously, the lane reduction has seldomly been investigated with the optimal velocity model. In this paper, we study this issue using the optimal velocity model, in which two kinds of vehicles (fast and slow) are introduced. The asymmetric lane changing rules in the slowdown section and the lane squeezing behaviors at the bottleneck are taken into account. Under the periodic boundary condition, the numerical simulations are performed. The fundamental diagram is obtained. Then, the influences of speed limit and the length of the slowdown section on traffic are discussed in detail from the view of traffic control. The currents are dependent on the speed limit, but independent of the length.

Impact of interruption probability of the current optimal velocity on traffic stability for car-following model

2021 ◽  
Author(s):  
Xiaoqin Li ◽  
Yanyan Zhou ◽  
Guanghan Peng
Keyword(s):  
Stable Condition ◽  
Velocity Model ◽  
Mkdv Equation ◽  
The Self ◽  
Optimal Velocity ◽  
Traffic Jam ◽  
Traffic System ◽  
Car Following ◽  
Optimal Velocity Model ◽  
Car Following Model

Traffic interruption is one of the important factors resulting in traffic jam. Therefore, a new optimal velocity model is established involving the traffic interruption probability for self-expected velocity. Linear stable condition and mKdV equation are deduced with regard to the self-interruption probability of the current optimal velocity from linear stable analysis and nonlinear analysis, respectively. Moreover, numerical simulation reveals that the traffic self-interruption probability of the current optimal velocity can increase traffic stability, which certifies that the traffic self-interruption probability of the current optimal velocity plays important influences on traffic system.

scholarly journals GENERALIZED OPTIMAL VELOCITY MODEL FOR TRAFFIC FLOW

2002 ◽  
Vol 13 (01) ◽  
pp. 1-12 ◽  
Author(s):  
SHIRO SAWADA
Keyword(s):  
Phase Space ◽  
Velocity Model ◽  
Parameter Choice ◽  
Velocity Function ◽  
Optimal Velocity ◽  
Optimal Velocity Model ◽  
Stop And Go ◽  
Specific Parameter ◽  
The Stability ◽  
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.

A DYNAMICAL MODEL WITH NEXT-NEAREST-NEIGHBOR INTERACTION IN RELATIVE VELOCITY

2007 ◽  
Vol 18 (05) ◽  
pp. 819-832 ◽  
Author(s):  
ZHIPENG LI ◽  
YUNCAI LIU ◽  
FUQIANG LIU
Keyword(s):  
Traffic Congestion ◽  
Relative Velocity ◽  
Nearest Neighbor ◽  
Propagation Speed ◽  
Velocity Model ◽  
Dynamical Model ◽  
Neighbor Interaction ◽  
Optimal Velocity ◽  
Density Relation ◽  
The Stability

By introducing the velocity difference between the preceding car and the car before the preceding one into the optimal velocity model (OVM), we present an extended dynamical model which takes into account the next-nearest-neighbor interaction in relative velocity. The stability condition of this model is derived by considering a small perturbation around the uniform flow solution and the validity of our theoretical analysis is also confirmed by direct simulations. The analytic and simulation results indicate that traffic congestion is suppressed efficiently by incorporating the effect of new consideration. Moreover, the effect of the new consideration is investigated by numerical simulation. In particular, the jamming flow, the current-density relation, and the propagation speed of small disturbance are examined in detail by varying various values of the parameter.

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