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A combined first and second order traffic network model
Kötz, Jennifer
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Kolb, Oliver
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Göttlich, Simone
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URL:
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https://arxiv.org/abs/1903.06744
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Dokumenttyp:
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Arbeitspapier
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Erscheinungsjahr:
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2019
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Ort der Veröffentlichung:
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Mannheim
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Sprache der Veröffentlichung:
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Englisch
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Einrichtung:
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Fakultät für Wirtschaftsinformatik und Wirtschaftsmathematik > Scientific Computing (Göttlich 2011-)
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Fachgebiet:
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510 Mathematik
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Abstract:
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Second order macroscopic traffic flow models are well-known to be able to reproduce the so-called capacity drop effect, i.e., the phenomenon that the outflow of a congested region is substantially lower than the maximum achievable flow in this particular area. Within this work, we propose a first order network model that is solely modified at the intersection points so that the capacity drop is captured. Theoretical investigations motivate the new choice of coupling conditions and illustrate the difference to purely first and second order network models. A numerical example considering the optimal control of an on-ramp merging into a main road highlights that the combined model generates similar results as a second order model but at significantly lower computational costs.
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 | Dieser Eintrag ist Teil der Universitätsbibliographie. |
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