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We investigate the dynamical transition from free-flow to jammed traffic, which is related to the divergence of the relaxation time and susceptibility of the energy dissipation rate $E_d$, in the Nagel-Schreckenberg (NS) model with two…

元胞自动机与格子气 · 物理学 2011-03-01 Wei Zhang , Wei Zhang , Wei Chen

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…

统计力学 · 物理学 2009-10-31 S. Cheybani , J. Kertesz , M. Schreckenberg

We study the phases of the Nagel-Schreckenberg traffic model with open boundary conditions as a function of the randomization probability p > 0 and the maximum velocity ${v}_{max} > 1$. Due to the existence of "buffer sites" which enhance…

统计力学 · 物理学 2009-10-31 S. Cheybani , J. Kertesz , M. Schreckenberg

In this paper, we investigate the non-signalized intersection issue considering traffic flow and energy dissipation in terms of game theory based on the Nagel-Schreckenberg (NaSch) model. There are two types of driver agents at the…

物理与社会 · 物理学 2010-06-08 Wei Zhang , Wei Zhang

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…

统计力学 · 物理学 2009-10-31 R. Barlovic , L. Santen , A. Schadschneider , M. Schreckenberg

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…

物理与社会 · 物理学 2007-05-23 Danuta Makowiec , Wieslaw Miklaszewski

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…

物理与社会 · 物理学 2009-11-11 K. Fourrate , M. Loulidi

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…

统计力学 · 物理学 2009-10-30 Marton Sasvari , Janos Kertesz

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…

物理与社会 · 物理学 2019-05-07 Lele Zhang , Caley Finn , Timothy M. Garoni , Jan de Gier

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…

统计力学 · 物理学 2009-10-31 G. Diedrich , L. Santen , A. Schadschneider , J. Zittartz

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…

元胞自动机与格子气 · 物理学 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…

统计力学 · 物理学 2017-02-15 M. L. L. Iannini , Ronald Dickman

We consider the incompressible Navier-Stokes and Euler equations in a bounded domain with non-characteristic boundary condition, and study the energy dissipation near the outflow boundary in the zero-viscosity limit. We show that in a…

偏微分方程分析 · 数学 2025-06-17 Jincheng Yang , Vincent R. Martinez , Anna L. Mazzucato , Alexis F. Vasseur

We have developed a modified Nagel-Schreckenberg cellular automata model for describing a conflicting vehicular traffic flow at the intersection of two streets. No traffic lights control the traffic flow. The approaching cars to the…

物理与社会 · 物理学 2009-11-13 M. Ebrahim Foulaadvand , Sommayeh Belbasi

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…

统计力学 · 物理学 2007-05-23 Andreas Schadschneider

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…

统计力学 · 物理学 2007-05-23 A. Schadschneider , D. Chowdhury , E. Brockfeld , K. Klauck , L. Santen , J. Zittartz

We examine the Nagel-Schreckenberg traffic model for a variety of maximum speeds. We show that the low density limit can be described as a dilute gas of vehicles with a repulsive core. At the transition to jamming, we observe finite-size…

元胞自动机与格子气 · 物理学 2016-05-25 Ashkan Balouchi , Dana A. Browne

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…

We introduce an energy dissipation model for traffic flow based on the optimal velocity model (OV model). In this model, vehicles are defined as moving under the rule of the OV model, and energy dissipation rate is defined as the product of…

物理与社会 · 物理学 2009-11-13 Kaito Umemura , Kuniyoshi Ebina

The effect of one on-ramp (entry) and one off-ramp (exit) is investigated numerically in one dimensional-cellular automaton traffic flow model, with open boundary conditions, using parallel dynamics. Our aim in this paper is to study how…

物理与社会 · 物理学 2007-05-23 Abdelaziz Mhirech , Assia Alaoui Ismaili , Hamid Ez-Zahraouy
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