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., Kasimov, Aslan R., Flynn, Morris R., Seibold, Benjamin
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: American Institute of Mathematical Sciences (AIMS) 2013
Online Access:http://hdl.handle.net/1721.1/82914
https://orcid.org/0000-0002-8828-5930