@inproceedings{ba878cc4c081443886cb6ba99164a2fa,
title = "Guaranteed bounds for traffic flow parameters estimation using mixed lagrangian - Eulerian sensing",
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.",
author = "Christian Claudel and Bayen, {Alexandre M.}",
year = "2008",
month = dec,
day = "1",
doi = "10.1109/ALLERTON.2008.4797618",
language = "English (US)",
isbn = "9781424429264",
series = "46th Annual Allerton Conference on Communication, Control, and Computing",
pages = "636--645",
booktitle = "46th Annual Allerton Conference on Communication, Control, and Computing",
note = "46th Annual Allerton Conference on Communication, Control, and Computing ; Conference date: 24-09-2008 Through 26-09-2008",
}