Lagrangian-based Hydrodynamic Model for Traffic Data Fusion on Freeways

Ke Han (), Tao Yao (), Chaozhe Jiang () and Terry L. Friesz ()
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Ke Han: Imperial College London
Tao Yao: Pennsylvania State University
Chaozhe Jiang: Southwest Jiaotong University
Terry L. Friesz: Pennsylvania State University

Networks and Spatial Economics, 2017, vol. 17, issue 4, No 1, 1094 pages

Abstract: 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.

Keywords: Traffic flow model; Lagrangian coordinates; Hamilton-Jacobi equation; Traffic data fusion (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s11067-017-9380-z

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