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A car-following model with the anticipation effect of potential lane changing
Authors:Tieqiao Tang  Haijun Huang  S C Wong  Rui Jiang
Institution:(1) School of Transportation Science and Engineering, Beihang University, Beijing, 100083, China;(2) School of Economics and Management, Beihang University, Beijing, 100083, China;(3) Department of Civil Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong, China;(4) School of Engineering Science, University of Science and Technology of China, Hefei, 230026, China
Abstract:In this paper, a new car-following model is presented, taking into account the anticipation of potential lane changing by the leading 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 flow in the headway-sensitivity space, namely stable, metastable and unstable ones, are classified. Both the analytical and simulation results show that anxiety about lane changing does indeed have an influence on driving behavior and that a consideration of lane changing probability in the car-following model could stabilize traffic flows. The quantitative relationship between stability improvement and lane changing probability is also investigated. The project supported by the National Natural Science Foundation of China (70701002, 70521001), the National Basic Research Program of China (2006CB705503), and the Research Grants Council of the Hong Kong Special Administrative Region (HKU7187/05E).
Keywords:Car-following model  Lane changing probability  Stability
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