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Data assimilation and inverse problem for fluid traffic flow models and algorithms
Author(s) -
Jaisson P.,
DeVuyst F.
Publication year - 2008
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2349
Subject(s) - data assimilation , balanced flow , traffic flow (computer networking) , assimilation (phonology) , inverse problem , computer science , algorithm , inverse , flow (mathematics) , mathematical optimization , microscopic traffic flow model , mathematics , meteorology , traffic generation model , real time computing , mathematical analysis , geometry , linguistics , philosophy , physics , computer security
This article deals with traffic data assimilation and algorithms that are able to predict the traffic flow on a road section. The traffic flow is modellized by the Aw–Rascle hyperbolic system. We have to minimize a functional whose optimization variables are initial condition. We use the Roe method to compute the solution to the traffic flow modelling system. Then we compute the gradient of the functional by an adjoint method. This gradient will be used to optimize the functional. Copyright © 2008 John Wiley & Sons, Ltd.