A combined first and second order traffic network model

Kötz, Jennifer ; Kolb, Oliver ; Göttlich, Simone

URL:	https://arxiv.org/abs/1903.06744
Document Type:	Working paper
Year of publication:	2019
Place of publication:	Mannheim
Publication language:	English
Institution:	School of Business Informatics and Mathematics > Wissenschaftliches Rechnen (Göttlich 2011-)
Subject:	510 Mathematics
Abstract:	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.

Dieser Eintrag ist Teil der Universitätsbibliographie.

Kötz, Jennifer ; Kolb, Oliver

; Göttlich, Simone

(2019) A combined first and second order traffic network model. Mannheim [Working paper]

BASE: Kötz, Jennifer ; Kolb, Oliver ; Göttlich, Simone

Google Scholar: Kötz, Jennifer ; Kolb, Oliver ; Göttlich, Simone

ORCID: Kötz, Jennifer ; Kolb, Oliver

; Göttlich, Simone

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