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The Traffic Reactio...
The Traffic Reaction Model: A kinetic compartmental approach to road traffic modeling
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- Pereira, Mike, 1992 (author)
- PSL University Paris,Chalmers tekniska högskola,Chalmers University of Technology
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- Kulcsár, Balázs Adam, 1975 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
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- Liptak, Gyorgy (author)
- Pázmány Péter Katolikus Egyetem,Pázmány Péter Catholic University
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- Kovacs, Mihaly, 1977 (author)
- Pázmány Péter Katolikus Egyetem,Pázmány Péter Catholic University
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(creator_code:org_t)
- 2024
- 2024
- English.
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In: Transportation Research, Part C: Emerging Technologies. - 0968-090X. ; 158
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https://research.cha... (primary) (free)
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https://research.cha...
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https://doi.org/10.1...
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Abstract
Subject headings
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- In this work, a family of finite volume discretization schemes for LWR-type first order traffic flow models (with possible on- and off-ramps) is proposed: the Traffic Reaction Model (TRM). These schemes yield systems of ODEs that are formally equivalent to the kinetic systems used to model chemical reaction networks. An in-depth numerical analysis of the TRM is performed. On the one hand, the analytical properties of the scheme (nonnegative, conservative, capacitypreserving, monotone) and its relation to more traditional schemes for traffic flow models (Godunov, CTM) are presented. Finally, the link between the TRM and kinetic systems is exploited to offer a novel compartmental interpretation of traffic models. In particular, kinetic theory is used to derive dynamical properties (namely persistence and Lyapunov stability) of the TRM for a specific road configuration. Two extensions of the proposed model, to networks and changing driving conditions, are also described.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Samhällsbyggnadsteknik -- Transportteknik och logistik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Civil Engineering -- Transport Systems and Logistics (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)
Keyword
- traffic flow
- chemical reaction network
- stability
- FVT
- transformation
- traffic network
- numerical scheme
- PDE
- flow model
Publication and Content Type
- art (subject category)
- ref (subject category)
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