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
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
摘要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.
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.
基金资助: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)
通讯作者:
LU Shou-feng, E-mail:itslu@126.com
E-mail: itslu@126.com
引用本文:
卢守峰, 王杰, 薛智规, 刘喜敏. 考虑超车需求的交通流中观模型[J]. Journal of Highway and Transportation Research and Development, 2015, 9(4): 85-90.
LU Shou-feng, WANG Jie, XUE Zhi-gui, LIU Xi-min. Mesoscopic Traffic Flow Model Considering Overtaking Requirements. Journal of Highway and Transportation Research and Development, 2015, 9(4): 85-90.
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2015, Vol. 9 
