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

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2 Author(s)
Claudel, C.G. ; Dept. of Electr. Eng. & Comput. Sci., Univ. of California, Berkeley, CA ; Bayen, A.M.

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.

Published in:

Communication, Control, and Computing, 2008 46th Annual Allerton Conference on

Date of Conference:

23-26 Sept. 2008