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Distributions of Time- and Distance-Headways in the Nagel-Schreckenberg Model of Vehicular Traffic: Effects of Hindrances

Debashish Chowdhury·Abhay Pasupathy·Shishir Sinha
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Abstract

In the Nagel-Schreckenberg model of vehicular traffic on single-lane highways vehicles are modelled as particles which hop forward from one site to another on a one dimensional lattice and the inter-particle interactions mimic the manner in which the real vehicles influence each other's motion. In this model the number of empty lattice sites in front of a particle is taken to be a measure of the corresponding distance-headway(DH). The time-headway(TH) is defined as the time interval between the departures (or arrivals) of two successive particles recorded by a detector placed at a fixed position on the model highway. We investigate the effects of spatial inhomogeneities of the highway (static hindrances) on the DH and TH distributions in the steady-state of this model.

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Debashish Chowdhury, Abhay Pasupathy, Shishir Sinha. 1998-10-22. Distributions of Time- and Distance-Headways in the Nagel-Schreckenberg Model of Vehicular Traffic: Effects of Hindrances. https://doi.org/10.1007/s100510050502

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