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Chin. Phys. B, 2016, Vol. 25(4): 048901    DOI: 10.1088/1674-1056/25/4/048901

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
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.
Keywords:  traffic flow model      compulsive lane-changing      off-ramp      fluid dynamics      numerical simulation  
Received:  07 October 2015      Revised:  13 December 2015      Accepted manuscript online: 
PACS:  89.40.-a (Transportation)  
  02.60.-x (Numerical approximation and analysis)  
  47.11.-j (Computational methods in fluid dynamics)  
  45.70.Vn (Granular models of complex systems; traffic flow)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11002035 and 11372147).
Corresponding Authors:  Ming-Min Guo     E-mail:

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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