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A new traffic model on compulsive lane-changing caused by off-ramp |
Xiao-He Liu(刘小禾)2, Hung-Tang Ko(柯鸿堂)3, Ming-Min Guo(郭明旻)1, Zheng Wu(吴正)1 |
1 Department of Aeronautics and Astronautics, Fudan University, Shanghai 200433, China; 2 School of Engineering, Brown University, Providence, RI 02903, USA; 3 Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA |
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Abstract In the field of traffic flow studies, compulsive lane-changing refers to lane-changing (LC) behaviors due to traffic rules or bad road conditions, while free LC happens when drivers change lanes to drive on a faster or less crowded lane. LC studies based on differential equation models accurately reveal LC influence on traffic environment. This paper presents a second-order partial differential equation (PDE) model that simulates both compulsive LC behavior and free LC behavior, with lane-changing source terms in the continuity equation and a lane-changing viscosity term in the momentum equation. A specific form of this model focusing on a typical compulsive LC behavior, the ‘off-ramp problem’, is derived. Numerical simulations are given in several cases, which are consistent with real traffic phenomenon.
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Received: 07 October 2015
Revised: 13 December 2015
Accepted manuscript online:
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PACS:
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89.40.-a
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(Transportation)
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02.60.-x
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(Numerical approximation and analysis)
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47.11.-j
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(Computational methods in fluid dynamics)
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45.70.Vn
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(Granular models of complex systems; traffic flow)
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Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11002035 and 11372147). |
Corresponding Authors:
Ming-Min Guo
E-mail: mmguo@fudan.edu.cn
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Cite this article:
Xiao-He Liu(刘小禾), Hung-Tang Ko(柯鸿堂), Ming-Min Guo(郭明旻), Zheng Wu(吴正) A new traffic model on compulsive lane-changing caused by off-ramp 2016 Chin. Phys. B 25 048901
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