Guaranteed bounds for traffic flow parameters estimation using mixed lagrangian - Eulerian sensing

Christian Claudel, Alexandre M. Bayen

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

17 Scopus citations

Abstract

This article proposes a new method combining convex optimization and viability theory for estimating traffic flow conditions on highway segments. Traffic flow is modeled by a Hamilton-Jacobi equation. Using a Lax-Hopf formula, we formulate the necessary and sufficient conditions for a mixed boundary and internal conditions problem to be well posed. The well-posedness conditions result in a system of linear inequalities, which enables us to compute upper and lower bounds on traffic flow parameters as the solution to a linear program. We illustrate the capabilities of the method with a data assimilation problem for the estimation of the travel time function using Eulerian and Lagrangian measurements generated from Next Generation Simulation (NGSIM) traffic data.

Original languageEnglish (US)
Title of host publication46th Annual Allerton Conference on Communication, Control, and Computing
Pages636-645
Number of pages10
DOIs
StatePublished - Dec 1 2008
Event46th Annual Allerton Conference on Communication, Control, and Computing - Monticello, IL, United States
Duration: Sep 24 2008Sep 26 2008

Publication series

Name46th Annual Allerton Conference on Communication, Control, and Computing

Other

Other46th Annual Allerton Conference on Communication, Control, and Computing
CountryUnited States
CityMonticello, IL
Period09/24/0809/26/08

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Software
  • Control and Systems Engineering
  • Communication

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