The Effect of the Relative Velocity on Traffic Flow

Xue, Yu; Dong, Liyun; Yi-wu, Yuan; Dai, Shun‐Dong

doi:10.1088/0253-6102/38/2/230

Cited by 20 publications

(3 citation statements)

References 8 publications

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“…the generalized OV model [21], and the inclusion of the relative velocity into the model [7,22,5,23,24].…”

Section: Model Applicability and Improvementsmentioning

confidence: 99%

“…Yu and coworkers found the stability condition to be 2β a < 1 + 2λ [7]. Also, they found that the inclusion of the relative velocity helps the stability of the system, preventing the strong unphysical variations on the velocity in near crash situation.…”

Section: Model Applicability and Improvementsmentioning

confidence: 99%

“…Then, understanding how the traffic flow behaves is an important matter at present days, and because of that, it has been the focus of intensive research. For several decades the main object under investigation has been the formulation of an appropriated model to describe the most of the relevant observable phenomena [1,2,3,4,5,6,7,8,9].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Optimal separation between vehicles for maximum through a light signal

Cardona¹

2017

Preprint

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The traffic flow through a light signal is explored by using the optimal velocity model and its improvement known as full velocity differences model. The simulations consider a single line of identical cars, equally spaced, and with no obstacles after the signal crossing line. The flow dependence on vehicle's characteristics, as it's length and sensitivity, are studied. Also, the influence of the attitude of drivers (careful or aggressive) has been used as parameters on the present work. It was found that the optimal separation between cars, defined as the distance that allows the system to carry the higher number of vehicles through the signal crossing line, is independent of the sensitivity of the system, but it does depend on the aggressive or careful characteristic of the drivers. The optimal separation is also found to be proportional to the length of the cars for a system of identical vehicles.

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“…the generalized OV model [21], and the inclusion of the relative velocity into the model [7,22,5,23,24].…”

Section: Model Applicability and Improvementsmentioning

confidence: 99%

Section: Model Applicability and Improvementsmentioning

confidence: 99%

See 1 more Smart Citation

Optimal separation between vehicles for maximum through a light signal

Cardona¹

2017

Preprint

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Nonlinear Analysis of a Hybrid Optimal Velocity Model with Relative Velocity for Traffic Flow

Liu

Jia

2010

Artificial Intelligence and Computational Intelligence

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An extended traffic flow model on a gradient highway with the consideration of the relative velocity

2014

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In this paper, an extended traffic flow model on a single-lane gradient highway is proposed with the consideration of the relative velocity. The stability condition is obtained by the use of linear stability analysis. It is shown that the stability of traffic flow on the gradient varies with the slope and the coefficient of the relative velocity: when the slope is constant, the stable regions increase with the increase of the coefficient of the relative velocity; when the coefficient of the relative velocity is constant, the stable regions increase with the decrease of the slope in downhill and increase with the increase of the slope in uphill. The Burgers, Korteweg-de Vries, and modified Korteweg-de Vries equations are derived to describe the triangular shock waves, soliton waves, and kink-antikink waves in the stable, metastable, and unstable region, respectively. The numerical simulation shows a good agreement with the analytical result, which shows that the traffic congestion can be suppressed by introducing the relative velocity.

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The Effect of the Relative Velocity on Traffic Flow

Cited by 20 publications

References 8 publications

Optimal separation between vehicles for maximum through a light signal

Optimal separation between vehicles for maximum through a light signal

Nonlinear Analysis of a Hybrid Optimal Velocity Model with Relative Velocity for Traffic Flow

An extended traffic flow model on a gradient highway with the consideration of the relative velocity

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