Lagrangian-based Hydrodynamic Model for Traffic Data Fusion on Freeways

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Title: Lagrangian-based Hydrodynamic Model for Traffic Data Fusion on Freeways
Authors: Han, K
Yao, T
Jiang, C
Friesz, TL
Item Type: Journal Article
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.
Issue Date: 18-Dec-2017
Date of Acceptance: 28-Nov-2017
URI: http://hdl.handle.net/10044/1/55581
DOI: http://dx.doi.org/10.1007/s11067-017-9380-z
ISSN: 1566-113X
Publisher: Springer Verlag
Start Page: 1071
End Page: 1094
Journal / Book Title: Networks and Spatial Economics
Volume: 17
Issue: 4
Copyright Statement: The final publication is available at Springer via http://dx.doi.org/10.1007/s11067-017-9380-z
Keywords: traffic flow model
Lagrangian coordinates
Hamilton-Jacobi equation
traffic data fusion
0102 Applied Mathematics
Logistics & Transportation
Publication Status: Published
Appears in Collections:Faculty of Engineering
Civil and Environmental Engineering



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