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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

In a recent paper [arXiv:1506.06649 [nlin.CG]], we presented an example of a 3-state cellular automaton which exhibits behaviour analogous to degenerate hyperbolicity often observed in finite-dimensional dynamical systems. We also…

元胞自动机与格子气 · 物理学 2017-04-04 Henryk Fukś , Joel Midgley-Volpato

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…

统计力学 · 物理学 2007-05-23 Satoshi Sakai , Katsuhiro Nishinari , Shinji Iida

We study the impact of a localized defect in a cellular automaton model for traffic flow which exhibits metastable states and phase separation. The defect is implemented by locally limiting the maximal possible flow through an increase of…

统计力学 · 物理学 2009-11-07 A. Pottmeier , R. Barlovic , W. Knospe , A. Schadschneider , M. Schreckenberg

In this paper computer simulation results of higher order density correlation for cellular automaton models of traffic flow are presented. The examinations show the jamming transition as a function of both the density and the magnitude of…

统计力学 · 物理学 2009-10-31 L. Neubert , H. Y. Lee , M. Schreckenberg

The path-preference traffic flow cellular automaton is suggested to model the dynamics of transcription. The main difference from the simple traffic flow model is that it contains another preferential paths at some sites. In this paper, we…

元胞自动机与格子气 · 物理学 2017-12-27 Yoichi Nakata , Yoshihiro Ohta , Sigeo Ihara

Cellular automaton (CA) approach is an important theoretical framework for studying complex system behavior and has been widely applied in various research field. CA traffic flow models have the advantage of flexible evolution rules and…

元胞自动机与格子气 · 物理学 2018-10-09 Junfang Tian , Chenqiang Zhu , Rui Jiang

A traffic model on an open one-dimensional lattice is considered. At any discrete time moment, with prescribed probability, a particle arrives to the leftmost cell of the lattice, and, with prescribed probability, the arriving particle…

概率论 · 数学 2024-11-20 Marina V. Yashina , Alexander G. Tatashev

A two-dimensional cellular automaton model of traffic flow with open boundaries are investigated by computer simulations. The outflow of cars from the system and the average velocity are investigated. The time sequences of the outflow and…

adap-org · 物理学 2009-10-28 Shin-ichi Tadaki

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…

物理与社会 · 物理学 2009-11-11 Yutaka Nishimura , Taksu Cheon , Petr Seba

Motivated by earlier numerical evidence for a percolation-like transition in space-time jamming, we present an analytic description of the transient dynamics of the deterministic traffic model elementary cellular automaton rule 184…

统计力学 · 物理学 2026-02-10 Aryaman Jha , Kurt Wiesenfeld , Jorge Laval

A probabilistic cellular automaton for cargo transport is presented that generalizes the totally asymmetric exclusion process with a defect from continuous time to parallel dynamics. It appears as an underlying principle in cellular…

统计力学 · 物理学 2010-06-25 Marko Woelki

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…

统计力学 · 物理学 2009-10-30 B. Eisenblaetter , L. Santen , A. Schadschneider , M. Schreckenberg

This paper firstly show that a recent model (Tian et al., Transpn. Res. B 71, 138-157, 2015) is not able to well replicate the evolution concavity in traffic flow, i.e. the standard deviation of vehicles increases in a concave/linear way…

元胞自动机与格子气 · 物理学 2015-07-16 Junfang Tian , Rui Jiang , Guangyu Li , Martin Treiber , Ning Jia , Shoufeng Ma

We use analytical methods to investigate cellular automata for traffic flow. Two different mean-field approaches are presented, which we call site-oriented and car-oriented, respectively. The car-oriented mean-field theory yields the exact…

凝聚态物理 · 物理学 2007-05-23 Andreas Schadschneider , Michael Schreckenberg

We examine various realistic generalizations of the basic cellular automaton model describing traffic flow along a highway. In particular, we introduce a {\em slow-to-start} rule which simulates a possible delay before a car pulls away from…

凝聚态物理 · 物理学 2009-10-28 Simon C. Benjamin , Neil F. Johnson , P. M. Hui

The transport and chemical reactions of solutes are modelled as a cellular automaton in which molecules of different species perform a random walk on a regular lattice and react according to a local probabilistic rule. The model describes…

comp-gas · 物理学 2009-10-22 T. Karapiperis , B. Blankleider

Traffic models based on cellular automata have high computational efficiency because of their simplicity in describing unrealistic vehicular behavior and the versatility of cellular automata to be implemented on parallel processing. On the…

多智能体系统 · 计算机科学 2013-02-05 Emanuele Rodaro , Öznur Yeldan

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 · 物理学 2009-10-22 J. M. Molera , F. C. Martinez , J. A. Cuesta , R. Brito

A two--dimensional cellular automaton is introduced to model the flow and jamming of vehicular traffic in cities. Each site of the automaton represents a crossing where a finite number of cars can wait approaching the crossing from each of…

adap-org · 物理学 2008-02-03 Jan Freund , Thorsten Pöschel