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.
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Official URL: http://link.aps.org/abstract/PRE/v80/e013101
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.
|Title:||Comment on "Analytical investigation of the open boundary conditions in the Nagel-Schreckenberg model"|
|Date:||13 July 2009|
|Journal or Publication Title:||Physical Review E|
|In Open Access:||No|
|In ISI Web of Science:||Yes|
|Keywords:||Open boundary, cellular automata, traffic flow, injection rate, removal rate|
|HGF - Research field:||Aeronautics, Space and Transport|
|HGF - Program:||Transport|
|HGF - Program Themes:||V VM - Verkehrsmanagement|
|DLR - Research area:||Transport|
|DLR - Program:||V VM - Verkehrsmanagement|
|DLR - Research theme (Project):||V - Methodenentwicklung (old)|
|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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