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Related papers: Metastable States in Cellular Automata for Traffic…

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Measurements of traffic flow show the existence of metastable states of very high throughput. These observations cannot be reproduced by the CA model of Nagel and Schreckenberg (NaSch model), not even qualitatively. Here we present two…

Statistical Mechanics · Physics 2007-05-23 R. Barlovic , L. Santen , A. Schadschneider , M. Schreckenberg

A new stochastic cellular automaton (CA) model of traffic flow, which includes slow-to-start effects and a driver's perspective, is proposed by extending the Burgers CA and the Nagel-Schreckenberg CA model. The flow-density relation of this…

Statistical Mechanics · Physics 2009-11-10 Katsuhiro Nishinari , Minoru Fuku , Andreas Schadschneider

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 investigate a simple multisegment cellular automaton model of traffic flow. With the introduction of segment-dependent deceleration probability, metastable congested states in the intermediate density region emerge, and the initial state…

Physics and Society · Physics 2009-11-11 Yutaka Nishimura , Taksu Cheon , Petr Seba

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

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

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

A model for 1D traffic flow is developed, which is discrete in space and time. Like the cellular automaton model by Nagel and Schreckenberg [J. Phys. I France 2, 2221 (1992)], it is simple, fast, and can describe stop-and-go traffic. Due to…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , Michael Schreckenberg

Although traffic simulations with cellular-automata models give meaningful results compared with empirical data, highway traffic requires a more detailed description of the elementary dynamics. Based on recent empirical results we present a…

Statistical Mechanics · Physics 2007-05-23 W. Knospe , L. Santen , A. Schadschneider , M. Schreckenberg

Cellular automata have turned out to be important tools for the simulation of traffic flow. They are designed for an efficient impletmentation on the computer, but hard to treat analytically. Here we discuss several approaches for an…

Statistical Mechanics · Physics 2007-05-23 Andreas Schadschneider

In this paper, we propose a stochastic cellular automaton model of traffic flow extending two exactly solvable stochastic models, i.e., the asymmetric simple exclusion process and the zero range process. Moreover it is regarded as a…

Statistical Mechanics · Physics 2009-05-26 Masahiro Kanai , Katsuhiro Nishinari , Tetsuji Tokihiro

Using computer simulations, we show that metastable states still occur in two-lane traffic models with slow to start rules. However, these metastable states no longer exist in systems where aggressive drivers (\textit{which do not look back…

Physics and Society · Physics 2009-11-13 Najem Moussa

The spatio-temporal organizations of vehicular traffic in cellular-automata models with "slow-to-start" rules are qualitatively different from those in the Nagel-Schreckenberg (NaSch) model of highway traffic. Here we study the effects of…

Statistical Mechanics · Physics 2009-10-31 Debashish Chowdhury , Ludger Santen , Andreas Schadschneider , Shishir Sinha , Abhay Pasupathy

We have developed a Nagel-Schreckenberg cellular automata model for describing of vehicular traffic flow at a single intersection. A set of traffic lights operating in fixed-time scheme controls the traffic flow. Open boundary condition is…

Physics and Society · Physics 2011-05-10 M. Ebrahim Foulaadvand , Somayyeh Belbasi

We modify the Nagel-Schreckenberg (NaSch) cellular automata model to study mixed-traffic dynamics. We focus on the interplay between passenger availability and bus-stopping constraints. Buses stop next to occupied cells of a discretized…

Cellular Automata and Lattice Gases · Physics 2020-08-21 Damian N. Dailisan , May T. Lim

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

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

We introduce a cellular automaton model coupled with a transport equation for flows on graphs. The direction of the flow is described by a switching process where the switching probability dynamically changes according to the value of the…

Cellular Automata and Lattice Gases · Physics 2013-07-02 Pierre Degond , Michael Herty , Jian-Guo Liu

We have developed a Nagel-Schreckenberg cellular automata model for describing of vehicular traffic flow at a single intersection. A set of traffic lights operating either in fixed-time or traffic adaptive scheme controls the traffic flow.…

Cellular Automata and Lattice Gases · Physics 2008-09-23 M. Ebrahim Foulaadvand , Sommayeh Belbaasi

This paper considers a single link with traffic light boundary conditions at both ends, and investigates the traffic evolution over time with various signal and system configurations. A hydrodynamic model and a modified stochastic domain…

Physics and Society · Physics 2019-05-07 Lele Zhang , Caley Finn , Timothy M. Garoni , Jan de Gier
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