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Non-lane-based full velocity difference car following model

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TLDR
It is found that the proposed model can describe the phase transition of traffic flow and estimate the evolution of traffic congestion and the lateral separation effects greatly enhance the realism of car following models.
Abstract
In order to describe car following behavior in real world, this paper presents a non-lane-based car following model by incorporating the effects of the lane width in traffic. The stability condition of the model is obtained by using the linear stability theory. And numerical simulation is carried out to validate the analytic results. The property of the model is investigated, and it is found that the proposed model can describe the phase transition of traffic flow and estimate the evolution of traffic congestion. The results implied that incorporating the lane width effects in car following model not only stabilize traffic flow and suppress the traffic jam, but also lower critical headway and increase capacity. Thus, the lateral separation effects greatly enhance the realism of car following models.

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Citations
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Journal ArticleDOI

Non-lane-based lattice hydrodynamic model of traffic flow considering the lateral effects of the lane width

TL;DR: In this paper, a new non-lane-based lattice model is proposed by incorporating the lateral separation effects of the lane width in traffic flow and the stability condition of the extended model is obtained by using the linear stability theory.
Journal ArticleDOI

A new car-following model with consideration of anticipation driving behavior

TL;DR: A new anticipation driving car-following (AD-CF) model is presented and good agreement between the simulation and the analytical results shows that the stability of traffic flow can be enhanced when the driver’s anticipation effects are considered.
Journal ArticleDOI

Analyses of a continuum traffic flow model for a nonlane-based system

TL;DR: In this paper, a car-following model for a non-lane-based system taking lateral separation into account is developed. But the authors do not consider the effect of lane width on the stability of the system.
Journal ArticleDOI

Visual angle model for car-following theory

TL;DR: The improving of the full velocity difference model and presented a visual angle car-following model, which shows that the neutral stability line is asymmetry and the width of the leading vehicle has a great impact on the stability of traffic flow.
Journal ArticleDOI

A new lattice hydrodynamic model considering the effects of bilateral gaps on vehicular traffic flow

TL;DR: In this article, a lattice hydrodynamic model is proposed to capture the impacts from the lateral gaps of the right-side and left-side sites of the considered lattice sites.
References
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Journal ArticleDOI

Dynamical model of traffic congestion and numerical simulation

TL;DR: In this model, the legal velocity function is introduced, which is a function of the headway of the preceding vehicle, and the evolution of traffic congestion is observed with the development of time.
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Statistical physics of vehicular traffic and some related systems

TL;DR: In this paper, a critical review of particle-hopping models of vehicular traffic is presented, focusing on the results obtained mainly from the so-called "particle hopping" models, particularly emphasizing those formulated in recent years using the language of cellular automata.
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Nonlinear Follow-the-Leader Models of Traffic Flow

TL;DR: A variety of nonlinear follow-the-leader models of traffic flow are discussed in this article in the light of available observational and experimental data, with emphasis placed on steady-state flow equations.
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Full velocity difference model for a car-following theory.

TL;DR: This paper presents a full velocity difference model for a car-following theory based on the previous models in the literature, and finds that the model can describe the phase transition of traffic flow and estimate the evolution of traffic congestion.
Journal ArticleDOI

An Operational Analysis of Traffic Dynamics

TL;DR: In this paper, the authors studied the dynamics of a line of traffic composed of n vehicles, where the movements of the vehicles are controlled by an idealized ''law of separation'' which specifies that each vehicle must maintain a certain prescribed following distance from the preceding vehicle.
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