Springer LINK: The European Physical Journal B - Abstract Volume 5 Issue 3 (1998) pp 781-786

The European Physical Journal B

ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)

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Abstract Volume 5 Issue 3 (1998) pp 781-786

Distributions of time- and distance-headways in the Nagel-Schreckenberg model of vehicular traffic: effects of hindrances

D. Chowdhury (a), A. Pasupathy (b), S. Sinha (c)

Physics Department, Indian Institute of Technology Kanpur 208016, India

Received: 2 March 1988 / Revised: 13 April 1998 / Accepted: 17 April 1998

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.

PACS. 05.40.+j Fluctuation phenomena, random processes, and Brownian motion - 05.60.+w Transport processes: theory - 89.40.+k Transportation

(a) Present address: Inst. for Theor. Phys., University of Köln, 50937 Köln, Germany.
(b) Present address: LASSP, Cornell University, Ithaca, NY 14853, USA.
(c) Present address: Phys. Dept., Harvard University, Cambridge, MA 02138, USA.

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