Lagrangian-based Hydrodynamic Model for Traffic Data Fusion on Freeways |
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Authors: | Ke Han Tao Yao Chaozhe Jiang Terry L Friesz |
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Affiliation: | 1.Department of Civil and Environmental Engineering,Imperial College London,London,UK;2.Department of Industrial and Manufacturing Engineering,Pennsylvania State University,State College,USA;3.College of Traffic and Transportation,Southwest Jiaotong University,Chengdu,China |
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Abstract: | This paper conducts a comprehensive study of the Lagrangian-based hydrodynamic model with application to highway state estimation. Our analysis is motivated by the practical problems of freeway traffic monitoring and estimation using multi-source data measured from mobile devices and fixed sensors. We conduct rigorous mathematical analysis on the Hamilton-Jacobi representation of the Lighthill-Whitham-Richards model in the transformed coordinates, and derive explicit and closed-form solutions with piecewise affine initial, boundary, and internal conditions, based on the variational principle. A numerical study of the Mobile Century field experiment demonstrates some unique features and the effectiveness in traffic estimation of the Lagrangian-based model. |
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