Free-congested and micro-macro descriptions of traffic flow | Zendy

Francesca Marcellini | Zendy

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Free-congested and micro-macro descriptions of traffic flow

Author(s) -

Francesca Marcellini

Publication year - 2014

Publication title -

discrete and continuous dynamical systems - s

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 34

eISSN - 1937-1632

pISSN - 1937-1179

DOI - 10.3934/dcdss.2014.7.543

Subject(s) - conservation law , macro , ordinary differential equation , scalar (mathematics) , coupling (piping) , free flow , microscopic traffic flow model , flow (mathematics) , traffic flow (computer networking) , computer science , mathematics , statistical physics , differential equation , mathematical economics , mechanics , physics , mathematical analysis , engineering , traffic generation model , mechanical engineering , geometry , computer security , real time computing , programming language

We present two frameworks for the description of traffic, both consisting in the coupling of systems of different types. First, we consider the Free--Congested model [7,11], where a scalar conservation law is coupled with a $2\times2$ system. Then, we present the coupling of a micro- and a macroscopic models, the former consisting in a system of ordinary differential equations and the latter in the usual LWR conservation law, see [10]. A comparison between the two different frameworks is also provided.

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