Lagrangian-based Hydrodynamic Model for Traffic Data Fusion on Freeways

Ke Han, Tao Yao, Chaozhe Jiang, Terry L. Friesz

Research output: Contribution to journalArticle

2 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)1071-1094
Number of pages24
JournalNetworks and Spatial Economics
Volume17
Issue number4
DOIs
StatePublished - Dec 1 2017

Fingerprint

Highway systems
Data fusion
Hydrodynamics
State estimation
Mobile devices
Monitoring
Sensors
Experiments

All Science Journal Classification (ASJC) codes

  • Software
  • Computer Networks and Communications
  • Artificial Intelligence

Cite this

Han, Ke ; Yao, Tao ; Jiang, Chaozhe ; Friesz, Terry L. / Lagrangian-based Hydrodynamic Model for Traffic Data Fusion on Freeways. In: Networks and Spatial Economics. 2017 ; Vol. 17, No. 4. pp. 1071-1094.
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Lagrangian-based Hydrodynamic Model for Traffic Data Fusion on Freeways. / Han, Ke; Yao, Tao; Jiang, Chaozhe; Friesz, Terry L.

In: Networks and Spatial Economics, Vol. 17, No. 4, 01.12.2017, p. 1071-1094.

Research output: Contribution to journalArticle

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