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原文传递 Freeway traffic state estimation: A Lagrangian-space Kalman filter approach
题名: Freeway traffic state estimation: A Lagrangian-space Kalman filter approach
正文语种: 英文
作者: Han Yang, Peter J. Jin, Bin Ran, Dongyuan Yang, Zhengyu Duan; Linghui He
作者单位: Key Laboratory of Road Traffic Engineering of the Ministry of Education, College of Transportation Engineering, Tongji University, Shanghai, China; Department of Civil and Environmental Engineering, Rutgers, The State University of New Jersey, New Brunswick, NJ, USA; Department of Civil and Environmental Engineering, University of Wisconsin-Madison, Madison, WI, USA
关键词: Data processing; Kalman filtering; Lagrangian formulation; traffic state estimation
摘要: Recent researches have shown the potential benefits of using Lagrangian coordinates in modeling mobile sensor data such as GPS, Bluetooth, Wi-Fi, and cellphone probe data. Research shows the numerical accuracy and convenience of Lagrangian traffic flow models in traffic state estimation. In this paper, a new traffic state estimation model by using Lagrangian-space Kalman filter is proposed based on the travel time transition model (TTM). The proposed methodology reformulates the TTM model into a state-space form to fit the Kalman filter framework. The corresponding state-updating matrices for various traffic conditions are also provided. A numerical experiment is conducted based on a simulation model calibrated with the field loop detector data on IH-894 in Milwaukee, Wisconsin for model evaluation. The proposed TTM-based method is compared with a CTM-based Kalman filter estimator on Eulerian coordinate under different penetration rates of the input Bluetooth, Wi-Fi, or Cellular probe vehicle data in which vehicles are re-identified between two consecutive physical or virtual readers. The evaluation results indicate that TTM-based estimation model performs well especially during congestion and can track traffic breakdowns and recovery effectively. The TTM-based estimator outperforms CTM-based methods at all penetration rates levels. Furthermore, the 4% penetration rate is found to be a threshold beyond which TTM-based estimation results improve significantly. With increased penetration rates, the TTM-based model can achieve a mean absolute percentage error around 10%; while CTM-based model remains higher than 13%.
出版年: 2019
期刊名称: Journal of Intelligent Transportation Systems Technology Planning and Operations
卷: 23
期: 6
页码: 525-540
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