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Updated: Jun 21, 2026

Kinematic History of a Salient-recess Junction Explored through a Combined Approach of Field Data and Analog Sandbox Modeling
Published on: August 5, 2016
Comment on "Analytical investigation of the open boundary conditions in the Nagel-Schreckenberg model"
Thorsten Neumann1, Peter Wagner
1German Aerospace Center, Institute of Transportation Systems, Rutherfordstr. 2, D-12489 Berlin, Germany. thorsten.neumann@dlr.de
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.
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