Constructing set-valued fundamental diagrams from Jamiton solutions in second order traffic models

Fundamental diagrams of vehicular traffic flow are generally multi-valued in the congested flow regime. We show that such set-valued fundamental diagrams can be constructed systematically from simple second order macroscopic traffic models, such as the classical Payne-Whitham model or the inhomogene...

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Bibliographic Details
Main Authors: Rosales, Rodolfo R. (Contributor), Kasimov, Aslan R. (Author), Flynn, Morris R. (Author), Seibold, Benjamin (Author)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: American Institute of Mathematical Sciences (AIMS), 2013-12-13T13:25:36Z.
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