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We consider the transition of the Nagel-Schreckenberg traffic flow model from the free flow regime to the jammed regime. We examine the inhomogeneous character of the system by introducing a new method of analysis which is based on the…

Statistical Mechanics · Physics 2009-10-30 S. Lubeck , M. Schreckenberg , K. D. Usadel

The jamming transition in the stochastic cellular automaton model (Nagel-Schreckenberg model) of highway traffic is analyzed in detail, by studying the relaxation time, a mapping to surface growth problems and the investigation of…

Statistical Mechanics · Physics 2009-10-30 Marton Sasvari , Janos Kertesz

We propose a cellular automata model for vehicular traffic in cities by combining (and appropriately modifying) ideas borrowed from the Biham-Middleton-Levine (BML) model of city traffic and the Nagel-Schreckenberg (NS) model of highway…

Statistical Mechanics · Physics 2016-08-31 Debashish Chowdhury , Andreas Schadschneider

Within the Nagel-Schreckenberg traffic flow model we consider the transition from the free flow regime to the jammed regime. We introduce a method of analyzing the data which is based on the local density distribution. This analyzes allows…

Statistical Mechanics · Physics 2007-05-23 S. Lubeck , M. Schreckenberg , K. D. Usadel

The Nagel-Schreckenberg traffic flow model shows a transition from a free flow regime to a jammed regime for increasing car density. The measurement of the dynamical structure factor offers the chance to observe the evolution of jams…

Statistical Mechanics · Physics 2009-10-31 L. Roters , S. Lubeck , K. D. Usadel

Effects of large value assigned to the maximal car velocity on the fundamental diagrams in the Nagel-Schreckenberg model are studied by extended simulations. The function relating the flow in the congested traffic phase with the car density…

Physics and Society · Physics 2007-05-23 Danuta Makowiec , Wieslaw Miklaszewski

The cellular automaton model for traffic flow exhibits a jamming transition from a free-flow phase to a congested phase. In the deterministic case this transition corresponds to a critical point with diverging correlation length. In the…

Statistical Mechanics · Physics 2009-10-30 B. Eisenblaetter , L. Santen , A. Schadschneider , M. Schreckenberg

The cellular automaton model for traffic flow exhibits a jamming transition from a free-flow phase to a congested phase. In the deterministic case this transition corresponds to a critical point with diverging correlation length. We present…

Statistical Mechanics · Physics 2007-05-23 L. Santen , A. Schadschneider

The Nagel-Schreckenberg traffic flow model shows a transition from a free flow regime to a jammed regime for increasing car density. The measurement of the dynamical structure factor offers the chance to observe the evolution of jams…

Statistical Mechanics · Physics 2009-09-25 S. Lubeck , L. Roters , K. D. Usadel

A general stochastic traffic cellular automaton (CA) model, which includes slow-to-start effect and driver's perspective, is proposed in this paper. It is shown that this model includes well known traffic CA models such as…

Statistical Mechanics · Physics 2007-05-23 Satoshi Sakai , Katsuhiro Nishinari , Shinji Iida

Jamming transition in traffic flow (between free and jammed traffic) for homogeneous car following model has been investigated taking into account fluctuations of characteristic acceleration/braking time. These fluctuations are defined by…

Statistical Mechanics · Physics 2007-05-23 A. V. Khomenko , D. O. Kharchenko , O. V. Yushchenko

We consider a modified Nagel-Schreckenberg (NS) model in which drivers do not decelerate if their speed is smaller than the headway (number of empty sites to the car ahead). (In the original NS model, such a reduction in speed occurs with…

Statistical Mechanics · Physics 2017-02-15 M. L. L. Iannini , Ronald Dickman

In this paper we present a theoretical analysis of a recently proposed two-dimensional Cellular Automata model for traffic flow in cities with the novel ingredient of turning capability. Numerical simulations of this model show that there…

comp-gas · Physics 2009-10-22 J. M. Molera , F. C. Martinez , J. A. Cuesta , R. Brito

In this paper, we numerically study energy dissipation caused by traffic in the Nagel-Schreckenberg (NaSch) model with open boundary conditions (OBC). Numerical results show that there is a nonvanishing energy dissipation rate Ed, and no…

Physics and Society · Physics 2009-04-25 Wei Zhang , Wei Zhang

We consider open systems where cars move according to the deterministic Nagel-Schreckenberg rules and with maximum velocity ${v}_{max} > 1$, what is an extension of the Asymmetric Exclusion Process (ASEP). It turns out that the behaviour of…

Statistical Mechanics · Physics 2009-10-31 S. Cheybani , J. Kertesz , M. Schreckenberg

We present results on the modeling of on- and off-ramps in cellular automata for traffic flow, especially the Nagel-Schreckenberg model. We study two different types of on-ramps that cause qualitatively the same effects. In a certain…

Statistical Mechanics · Physics 2009-10-31 G. Diedrich , L. Santen , A. Schadschneider , J. Zittartz

The jamming behavior of a single lane traffic model based on a cellular automaton approach is studied. Our investigations concentrate on the so-called VDR model which is a simple generalization of the well-known Nagel-Schreckenberg model.…

Statistical Mechanics · Physics 2009-11-07 Robert Barlovic , Andreas Schadschneider , Michael Schreckenberg

Measurements on real traffic have revealed the existence of metastable states with very high flow. Such states have not been observed in the Nagel-Schreckenberg (NaSch) model which is the basic cellular automaton for the description of…

Statistical Mechanics · Physics 2009-10-31 R. Barlovic , L. Santen , A. Schadschneider , M. Schreckenberg

We suggest a disordered traffic flow model that captures many features of traffic flow. It is an extension of the Nagel-Schreckenberg (NaSch) stochastic cellular automata for single line vehicular traffic model. It incorporates random…

Physics and Society · Physics 2009-11-11 K. Fourrate , M. Loulidi

We present a new cellular automata model of vehicular traffic in cities by combining ideas borrowed from the Biham-Middleton-Levine (BML) model of city traffic and the Nagel-Schreckenberg (NaSch) model of highway traffic. The model exhibits…

Statistical Mechanics · Physics 2007-05-23 A. Schadschneider , D. Chowdhury , E. Brockfeld , K. Klauck , L. Santen , J. Zittartz
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