Shaping traffic flow with a ratio of time constants

2014 ◽  
Vol 4 (2) ◽  
Author(s):  
Nicolae Bîrlea
Keyword(s):  
Traffic Flow ◽  
Velocity Model ◽  
Individual Response ◽  
Optimal Velocity ◽  
Adaptation Time ◽  
Congested Traffic ◽  
Vehicular Traffic Flow ◽  
Time Gap ◽  
The Individual ◽  
Response Transfer

AbstractIn this paper we present how the main parameters of an optimal velocity model, the velocity adaptation time, τ, and the desired time gap between consecutive vehicles (time headway), T, control the structure of vehicular traffic flow. We show that the ratio between the desired time gap and the velocity adaptation time, T /τ, establishes the pattern formation in congested traffic flow. This ratio controls both the collective behavior and the individual response of vehicles in traffic. We also introduced a response (transfer) function, which shows how perturbation is transmitted between adjacent vehicles and permits the study of collective stability of traffic flow.

Noise Induced Congested Traffic Flow in Coupled Map Optimal Velocity Model

1999 ◽  
Vol 68 (9) ◽  
pp. 3110-3114 ◽  
Author(s):  
Shin-ichi Tadaki ◽  
Macoto Kikuchi ◽  
Yūki Sugiyama ◽  
Satoshi Yukawa
Keyword(s):  
Traffic Flow ◽  
Velocity Model ◽  
Optimal Velocity ◽  
Optimal Velocity Model ◽  
Congested Traffic

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

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.

Bifurcation phenomena in the optimal velocity model for traffic flow

2001 ◽  
Vol 64 (4) ◽  
Author(s):  
Yuji Igarashi ◽  
Katsumi Itoh ◽  
Ken Nakanishi ◽  
Kazuhiro Ogura ◽  
Ken Yokokawa
Keyword(s):  
Traffic Flow ◽  
Velocity Model ◽  
Optimal Velocity ◽  
Optimal Velocity Model ◽  
Bifurcation Phenomena

THE INFLUENCE OF INDIVIDUAL DRIVER CHARACTERISTICS ON CONGESTION FORMATION

2011 ◽  
Vol 22 (03) ◽  
pp. 305-318 ◽  
Author(s):  
LANJUN WANG ◽  
HAO ZHANG ◽  
HUADONG MENG ◽  
XIQIN WANG
Keyword(s):  
Stability Analysis ◽  
Traffic Flow ◽  
Linear Stability Analysis ◽  
Traffic Congestion ◽  
Velocity Model ◽  
Model Parameters ◽  
Unstable Flow ◽  
Optimal Velocity ◽  
Optimal Velocity Model ◽  
Langevin Approach

Previous works have pointed out that one of the reasons for the formation of traffic congestion is instability in traffic flow. In this study, we investigate theoretically how the characteristics of individual drivers influence the instability of traffic flow. The discussions are based on the optimal velocity model, which has three parameters related to individual driver characteristics. We specify the mappings between the model parameters and driver characteristics in this study. With linear stability analysis, we obtain a condition for when instability occurs and a constraint about how the model parameters influence the unstable traffic flow. Meanwhile, we also determine how the region of unstable flow densities depends on these parameters. Additionally, the Langevin approach theoretically validates that under the constraint, the macroscopic characteristics of the unstable traffic flow becomes a mixture of free flows and congestions. All of these results imply that both overly aggressive and overly conservative drivers are capable of triggering traffic congestion.

An Extended Optimal Velocity Model of Traffic Flow with Backward Power Cooperation

2013 ◽  
Vol 336-338 ◽  
pp. 561-565
Author(s):  
Kang Li Chen ◽  
Zhi Peng Li
Keyword(s):  
Traffic Flow ◽  
Flow Model ◽  
Velocity Model ◽  
Mkdv Equation ◽  
Reductive Perturbation Method ◽  
Linear Stability Theory ◽  
Traffic Density ◽  
Unstable Region ◽  
Optimal Velocity ◽  
The Stability

In this paper, an extended traffic flow model which considers the strategy of the backward power cooperation is proposed by taking account of the power assist of the nearest rear car. The stability condition of the new model is derived by using the linear stability theory with finding that the power assist of the nearest rear car can stabilize the traffic flow and efficiently suppress traffic jams. Moreover, the modified Korteweg-de Vries (mKdV) equation is derived to describe the traffic density waves in the unstable region by using the reductive perturbation method and nonlinear analysis..

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