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A new vehicular traffic flow model based on a stochastic jump process in vehicle acceleration and braking is introduced. It is based on a master equation for the single car probability density in space, velocity and acceleration with an…

其他凝聚态物理 · 物理学 2009-11-10 K. Thomas Waldeer

The cellular automaton model is used to simulate diffusion and aggregation with dissociation of point particles in 2D. A continuous phase transition is found that separates creation of compact aggregates and fractal ones. The transition is…

计算物理 · 物理学 2015-04-17 Yuriy G. Gordienko , Elena E. Zasimchuk

Cellular traffic prediction is of great importance for operators to manage network resources and make decisions. Traffic is highly dynamic and influenced by many exogenous factors, which would lead to the degradation of traffic prediction…

机器学习 · 计算机科学 2025-06-23 Hui Ma , Kai Yang , Man-On Pun

The Biham-Middleton-Levine (BML) traffic model, a cellular automaton with east-bound and north-bound cars moving by turns on a square lattice, has been an underpinning model in the study of collective behaviour by cars, pedestrians and even…

元胞自动机与格子气 · 物理学 2015-06-11 L. E. Olmos , J. D. Muñoz

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.…

元胞自动机与格子气 · 物理学 2008-09-23 M. Ebrahim Foulaadvand , Sommayeh Belbaasi

We study the effect of metastable states on the relaxation process (and hence information propagation) in locally coupled and boundary-driven structures. We first give a general argument to show that metastable states are inevitable even in…

凝聚态物理 · 物理学 2009-10-31 M. P. Anantram , Vwani P. Roychowdhury

The phase transition kinetics in three phase systems was investigated using the numerically efficient cell dynamics method. A phasefield model with a simple analytical free energy and single order parameter was used to study the kinetics…

材料科学 · 物理学 2010-03-23 Masao Iwamatsu

The paper presents a preliminary analysis of traffic flow data collected in the Lefortovo tunnel located on the 3-rd circular highway of Moscow. It is shown that the observed tunnel congested traffic in fact exhibits cooperative phenomena…

物理与社会 · 物理学 2007-05-23 Ihor Lubashevsky , Cyril Garnisov , Reinhard Mahnke , Boris Lifshits , Mikhail Pechersky

Reversible Probabilistic Cellular Automata are a special class of automata whose stationary behavior is described by Gibbs-like measures. For those models the dynamics can be trapped for a very long time in states which are very different…

数学物理 · 物理学 2016-03-30 Emilio N. M. Cirillo , Francesca R. Nardi , Cristian Spitoni

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

A microscopic criterion for distinguishing synchronized flow and wide moving jam phases in single vehicle data measured at a single freeway location is presented. Empirical local congested traffic states in single vehicle data measured on…

物理与社会 · 物理学 2009-11-11 Boris S. Kerner , Sergey L. Klenov , Andreas Hiller

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

Microscopic modeling of multi-lane traffic is usually done by applying heuristic lane changing rules, and often with unsatisfying results. Recently, a cellular automaton model for two-lane traffic was able to overcome some of these problems…

统计力学 · 物理学 2009-10-30 Kai Nagel , Dietrich E Wolf , Peter Wagner , Patrice Simon

We introduce a simple lattice model of traffic flow in a city where drivers optimize their route-selection in time in order to avoid traffic jams, and study its phase structure as a function of the density of vehicles and of the drivers'…

统计力学 · 物理学 2015-06-24 A. De Martino , M. Marsili , R. Mulet

We propose a one-dimensional model of active particles interpolating between quorum sensing models used in the study of motility-induced phase separation (MIPS) and models of congestion of traffic flow on a single-lane highway. Particles…

统计力学 · 物理学 2026-01-08 Eric Bertin , Alexandre Solon

In the setting of a recently developed cellular stochastic traffic flow model, it has shown that the joint per-cell vehicle densities, as a function of time, can be accurately approximated by a Gaussian process, which has the attractive…

最优化与控制 · 数学 2020-07-16 Michel Mandjes , Jaap Storm

We propose and study a new one-dimensional traffic flow cellular automaton (CA) model of high speed vehicles with the Fukui-Ishibashi-type acceleration for all cars and the Nagel-Schreckenberg-type (NS) stochastic delay only for the cars…

统计力学 · 物理学 2009-11-07 Lei Wang , Bing-Hong Wang , Bambi Hu

The essential distinction between the Fundamental Diagram Approach (FDA) and Kerner's Three- Phase Theory (KTPT) is the existence of a unique gap-speed (or flow-density) relationship in the former class. In order to verify this…

物理与社会 · 物理学 2014-12-02 Junfang Tian , Martin Treiber , Shoufeng Ma , Bin Jia , Wenyi Zhang

We propose a two dimensional probabilistic cellular automata for the description of traffic flow in a small city network composed of two intersections. The traffic in the network is controlled by a set of traffic lights which can be…

物理与社会 · 物理学 2012-03-19 M. Ebrahim Fouladvand , M. Reza Shaebani , Zeinab Sadjadi

We present applications of a cellular automaton approach to pedestrian dynamics introduced in [1,2]. It is shown that the model is able to reproduce collective effects and self-organization phenomena encountered in pedestrian traffic, e.g.…