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| Mesoscopic Traffic Flow Model Considering Overtaking Requirements |
| LU Shou-feng1, WANG Jie1, XUE Zhi-gui2, LIU Xi-min1 |
1. School of Traffic and Transportation Engineering, Changsha University of Science and Technology, Changsha Hunan 410114, China;
2. Traffic Police Division of Public Security Bureau of Changsha city, Changsha Hunan 410012, China |
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Abstract Overtaking probability formula in the Prigogine-Herman traffic flow mesoscopic model is the function of traffic density, which is a linear function and does not consider overtaking requirements. In this paper, we use desired speed to improve the overtaking probability formula and propose a new overtaking probability formula that is nonlinear and a corresponding traffic flow mesoscopic model. The improved model can simultaneously consider traffic density and overtaking requirements, thus reflecting traffic flow operation realistically. We use the proposed model to simulate the diffusion process of vehicles from a high-density section to a low-density section. The example analyzes the difference between the linear overtaking probability formula and the parabolic Greenshield's overtaking probability formula. Results show that the linear overtaking probability formula evolves quickly and converges to three speed classes. The parabolic Greenshield's overtaking probability formula converges to six speed classes and can reflect speed distribution evolution reasonably.
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Received: 19 June 2015
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| Fund:Supported by the National Natural Science Foundation of China (No.71071024); the Natural Science Foundation of Hunan Province (No.12JJ2025); and the Major Programs of Technology Bureau of Changsha City (No.K1106004-11) |
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[1] PRIGOGINE I, HERMAN R. Kinetic Theory of Vehicular Traffic[M]. Amsterdam:Elsevier Press, 1971.
[2] DELITALA M, TOSIN A. Mathematical Modeling of Vehicular Traffic:A Discrete Kinetic Theory Approach[J]. Mathematical Models and Methods in Applied Sciences, 2007, 17(6):901-932.
[3] LU Shou-feng, DAI Shi-qiang, LIU Xi-min. A Discrete Traffic Kinetic Model-integrating the Lagged Cell Transmission and Continuous Traffic Kinetic Models[J]. Transportation Research Part C:Emerging Technologies,2011,19(2):196-205.
[4] LU Shou-feng, LIU Gai-hong, LIU Xi-min. A New Traffic Kinetic Model for Heterogeneous Condition[J]. International Journal of Non-Linear Mechanics, 2013, 55:1-9.
[5] NELSON P. A Kinetic Model of Vehicular Traffic and Its Associated Bimodal Equilibrium Solutions[J]. Transport Theory and Statistical Physics, 1995, 24(1/2/3):383-409.
[6] PAVERI-FONTANA S L. On Boltzmann-like Treatments for Traffic Flow:A Critical Review of the Basic Model and an Alternative Proposal for Dilute Traffic Analysis[J]. Transportation Research,1975,9(4):225-235.
[7] LU Shou-feng, LIU Gai-hong, LIU Xi-min. A Traffic Kinetic Model Considering Desired Speed[J]. Journal of Transportation Systems Engineering and Information Technology, 2013, 13(2):81-89.
[8] RONG Jian, LIU Shi-jie, SHAO Chang-qiao, et al. Application of Overtaking Model in Two-lane Highway Simulation System[J]. Journal of Highway and Transportation Research and Development, 2007,24(11):136-139. (in Chinese)
[9] WIEDEMANN R, REITER U. Microscopic Traffic Simulation:the Simulation System Mission, Background and Actual State[R]. Brussels:CEC European Managers, 1991.
[10] DAGANZO C F. The Cell Transmission Model:A Dynamic Representation of Highway Traffic Consistent With the Hydrodynamic Theory[J]. Transportation Research Part B, 1994, 28(4):269-287. |
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2015, Vol. 9 
