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Continuum modeling for two-lane traffic flow with consideration of the traffic interruption probability

Chinese Physics B 2010年第12期19卷 51-59页

作者：田川孙棣华 College of Automation Chongqing University

Considering the effects that the probability of traffic interruption and the friction between two lanes have on the car-following behaviour, this paper establishes a new two-lane microscopic car-following model. Based on this microscopic model, a new macroscopic model was deduced by the relevance relation of microscopic and macroscopic scale parameters for the two-lane traffic flow. Terms related to lane change are added into the continuity equations and velocity dynamic equations to investigate the lane change rate. Numerical results verify that the proposed model can be efficiently used to reflect the effect of the probability of traffic interruption on the shock, rarefaction wave and lane change behaviour on two-lane freeways. The model has also been applied in reproducing some complex traffic phenomena caused by traffic accident interruption.

关键词： two lanes traffic interruption probability traffic flow dynamics model numerical simulation

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A new car-following model with consideration of the traffic interruption probability

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Chinese Physics B 2009年第3期18卷 975-983页

作者：唐铁桥黄海军黄仕进姜锐 School of Transportation Science and Engineering Beijing University of Aeronautics and Astronautics School of Economics and Management Beijing University of Aeronautics and Astronautics Department of Civil Engineering University of Hong Kong School of Engineering Science University of Science and Technology of China

In this paper, we present a new car-following model by taking into account the effects of the traffic interruption probability on the car-following behaviour of the following vehicle. The stability condition of the model is obtained by using the linear stability theory. The modified Korteweg-de Vries （KdV） equation is constructed and solved, and three types of traffic flows in the headway sensitivity space-stable, metastable, and unstable--are classified. Both the analytical and simulation results show that the traffic interruption probability indeed has an influence on driving behaviour, and the consideration of traffic interruption probability in the car-following model could stabilize traffic flow.

关键词： car-following model traffic interruption probability stability

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