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Queuing model of a traffic bottleneck with bimodal arrival rate

Woelki, Marko (2015) Queuing model of a traffic bottleneck with bimodal arrival rate. International Journal of Modern Physics B, 29, pp. 1541001-1. World Scientific Publishing Co. DOI: [10.1142/S0217979215410015] ISSN 0217-9792

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Official URL: http://www.worldscientific.com/doi/pdf/10.1142/S0217979215410015?src=recsys

Abstract

This paper revisits the problem of tuning the density in a traffic bottleneck by reduction of the arrival rate when the queue length exceeds a certain threshold, studied recently for variants of totally asymmetric simple exclusion process (TASEP) and Burgers equation. In the present approach, a simple finite queuing system is considered and its contrasting “phase diagram” is derived. One can observe one jammed region, one low-density region and one region where the queue length is equilibrated around the threshold. Despite the simplicity of the model the physics is in accordance with the previous approach: The density is tuned at the threshold if the exit rate lies in between the two arrival rates.

Item URL in elib:https://elib.dlr.de/97460/
Document Type:Article
Title:Queuing model of a traffic bottleneck with bimodal arrival rate
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Woelki, Markomarko.woelki (at) dlr.deUNSPECIFIED
Date:2015
Journal or Publication Title:International Journal of Modern Physics B
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:29
DOI :[10.1142/S0217979215410015]
Page Range:pp. 1541001-1
Editors:
EditorsEmail
KANIADAKIS,, G.Politecnico di Torino
SCARFONE, A. M.Politecnico di Torino
Publisher:World Scientific Publishing Co
ISSN:0217-9792
Status:Published
Keywords:Queuing theory, traffic flow, TASEP
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Transport
HGF - Program Themes:Traffic Management (old)
DLR - Research area:Transport
DLR - Program:V VM - Verkehrsmanagement
DLR - Research theme (Project):V - I.MoVe (old)
Location: Berlin-Adlershof
Institutes and Institutions:Institute of Transportation Systems > Traffic Management
Deposited By: Wölki, Marko
Deposited On:14 Oct 2015 15:47
Last Modified:31 Jul 2019 19:54

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