Lagrangian-based Hydrodynamic Model for Traffic Data Fusion on Freeways

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

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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
Issue number4
StatePublished - Dec 1 2017

All Science Journal Classification (ASJC) codes

  • Software
  • Computer Networks and Communications
  • Artificial Intelligence


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