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Comment on "Analytical investigation of the open boundary conditions in the Nagel-Schreckenberg model"

Neumann, Thorsten and Wagner, Peter (2009) Comment on "Analytical investigation of the open boundary conditions in the Nagel-Schreckenberg model". Physical Review E, 80 (1). DOI: 10.1103/PhysRevE.80.013101. ISSN 1539-3755.

Full text not available from this repository.

Official URL: http://link.aps.org/abstract/PRE/v80/e013101

Abstract

In their recent paper [Phys. Rev. E 79, 031115 (2009)], Ning Jia and Shoufeng Ma used some Markov chain arguments for the analytical description of inflow in the deterministic Nagel-Schreckenberg model with open boundaries. In this context, they considered two different mechanisms of injecting vehicles: the standard injection rule and a popular expanded injection rule. While the results for the first one seem to be correct, simulations show that the inflow formula in case of the expanded injection rule yields only approximate results. Therefore, this comment provides the exact formula also in this case and explains the shortcoming in the derivation of Jia and Ma.

Document Type:Article
Title:Comment on "Analytical investigation of the open boundary conditions in the Nagel-Schreckenberg model"
Authors:
AuthorsInstitution or Email of Authors
Neumann, Thorstenthorsten.neumann@dlr.de
Wagner, Peterpeter.wagner@dlr.de
Date:13 July 2009
Journal or Publication Title:Physical Review E
Refereed publication:Yes
In Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:80
DOI:10.1103/PhysRevE.80.013101
ISSN:1539-3755
Status:Published
Keywords:Open boundary, cellular automata, traffic flow, injection rate, removal rate
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Transport
HGF - Program Themes:Traffic Management
DLR - Research area:Transport
DLR - Program:V VM - Verkehrsmanagement
DLR - Research theme (Project):V - Methodenentwicklung (old)
Location: Berlin-Adlershof
Institutes and Institutions:Institute of Transportation Systems
Deposited By: Thorsten Neumann
Deposited On:17 Aug 2009 14:33
Last Modified:07 Feb 2013 20:39

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