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dc.creatorSeibold, B
dc.creatorFlynn, MR
dc.creatorKasimov, AR
dc.creatorRosales, RR
dc.date.accessioned2021-02-03T20:22:18Z
dc.date.available2021-02-03T20:22:18Z
dc.date.issued2013-09-01
dc.identifier.issn1556-1801
dc.identifier.issn1556-181X
dc.identifier.doihttp://dx.doi.org/10.34944/dspace/5926
dc.identifier.other235XN (isidoc)
dc.identifier.urihttp://hdl.handle.net/20.500.12613/5944
dc.description.abstractFundamental diagrams of vehicular traiic ow are generally multivalued in the congested ow regime. We show that such set-valued fundamental diagrams can be constructed systematically from simple second order macroscopic traiic models, such as the classical Payne-Whitham model or the inhomogeneous Aw-Rascle-Zhang model. These second order models possess nonlinear traveling wave solutions, called jamitons, and the multi-valued parts in the fundamental diagram correspond precisely to jamiton-dominated solutions. This study shows that transitions from function-valued to set-valued parts in a fundamental diagram arise naturally in well-known second order models. As a particular consequence, these models intrinsically reproduce traiic phases. © American Institute of Mathematical Sciences.
dc.format.extent745-772
dc.language.isoen
dc.relation.haspartNetworks and Heterogeneous Media
dc.relation.isreferencedbyAmerican Institute of Mathematical Sciences (AIMS)
dc.subjectSecond order
dc.subjecttraffic model
dc.subjectPayne-Whitham
dc.subjectAw-Rascle-Zhang
dc.subjectjamiton
dc.subjecttraveling wave
dc.subjectfundamental diagram
dc.subjectsensor data
dc.subjecteffective flow rate
dc.titleConstructing set-valued fundamental diagrams from jamiton solutions in second order traffic models
dc.typeArticle
dc.type.genreJournal Article
dc.relation.doi10.3934/nhm.2013.8.745
dc.ada.noteFor Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu
dc.date.updated2021-02-03T20:22:15Z
refterms.dateFOA2021-02-03T20:22:19Z


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