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Density-feedback control in traffic and transport far from equilibrium

Woelki, Marko (2013) Density-feedback control in traffic and transport far from equilibrium. Physical Review E. American Physical Society. ISSN 1539-3755

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Abstract

A bottleneck situation in one-lane traffic flow is typically modelled with a constant demand of entering cars. However, in practice this demand may depend on the density of cars in the bottleneck. The present paper studies a simple bimodal realization of this mechanism to which we refer to as density-feedback control (DFC): If the actual density in the bottleneck is above a certain threshold, the reservoir density of possibly entering cars is reduced to a different constant value. By numerical solution of the discretized viscid Burgers equation a rich stationary phase diagram is found. In order to maximize the flow, which is the goal of typical traffic-management strategies, we find the optimal choice of the threshold. Analytical results are verified by computer simulations of the microscopic totally asymmetric exclusion process with DFC.

Item URL in elib:https://elib.dlr.de/83005/
Document Type:Article
Title:Density-feedback control in traffic and transport far from equilibrium
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Woelki, MarkoDLRUNSPECIFIED
Date:2013
Journal or Publication Title:Physical Review E
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:No
Publisher:American Physical Society
ISSN:1539-3755
Status:Accepted
Keywords:TASEP, traffic control, bottleneck
HGF - Research field:other
HGF - Program:other
HGF - Program Themes:other
DLR - Research area:no assignment
DLR - Program:no assignment
DLR - Research theme (Project):no assignment
Location: Berlin-Adlershof
Institutes and Institutions:Institute of Transportation Systems > Traffic Management
Deposited By: Wölki, Marko
Deposited On:27 Jun 2013 11:11
Last Modified:31 Jul 2019 19:41

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