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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…

统计力学 · 物理学 2009-10-30 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…

统计力学 · 物理学 2009-10-31 L. Roters , S. Lubeck , 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…

统计力学 · 物理学 2009-09-25 S. Lubeck , L. Roters , 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…

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

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…

统计力学 · 物理学 2007-05-23 A. V. Khomenko , D. O. Kharchenko , O. V. Yushchenko

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 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…

统计力学 · 物理学 2016-08-31 Debashish Chowdhury , Andreas Schadschneider

We study phase transitions of a system of particles on the one-dimensional integer lattice moving with constant acceleration, with a collision law respecting slower particles. This simple deterministic ``particle-hopping'' traffic flow…

动力系统 · 数学 2009-11-10 Michael Blank

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 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

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

Most car-following models show a transition from laminar to ``congested'' flow and vice versa. Deterministic models often have a density range where a disturbance needs a sufficiently large critical amplitude to move the flow from the…

统计力学 · 物理学 2007-05-23 Kai Nagel , Christopher Kayatz , Peter Wagner

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

In this work we study the effect of a traffic light system on the flow of a single lane road by proposing a traffic model based on a cellular automaton that also includes behavioral considerations. We focus on the macroscopic…

物理与社会 · 物理学 2021-02-03 A. Chacoma , M. N. Kuperman , G. Abramson

A new single lane car following model of traffic flow is presented. The model is inertial and free of collisions. It demonstrates experimentally observed features of traffic flow such as the existence of three regimes: free, fluctuative…

无序系统与神经网络 · 物理学 2009-10-31 Elad Tomer , Leonid Safonov , Shlomo Havlin

We introduce two simple two-dimensional lattice models to study traffic flow in cities. We have found that a few basic elements give rise to the characteristic phase diagram of a first-order phase transition from a freely moving phase to a…

高能物理 - 格点 · 物理学 2016-08-14 José A. Cuesta , Froilán C. Martínez , Juan M. Molera , Angel Sánchez Escuela

We introduce two simple two-dimensional lattice models to study traffic flow in cities. We have found that a few basic elements give rise to the characteristic phase diagram of a first-order phase transition from a freely moving phase to a…

patt-sol · 物理学 2016-08-14 José A. Cuesta , Froilán C. Martínez , Juan M. Molera , Angel Sánchez

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

We have studied the distribution of traffic flow $q$ for the Nagel-Schreckenberg model by computer simulations. We applied a large-deviation approach, which allowed us to obtain the distribution $P(q)$ over more than one hundred decades in…

数据分析、统计与概率 · 物理学 2019-12-11 Wiebke Staffeldt , Alexander K. Hartmann

We study traffic flow on roads with a localized periodic inhomogeneity such as traffic signals, using a stochastic car-following model. We find that in cases of congestion, traffic flow can be optimized by controlling the inhomogeneity's…

统计力学 · 物理学 2007-05-23 Elad Tomer , Leonid Safonov , Nilly Madar , Shlomo Havlin
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