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We propose a bridge between the theory of exactly solvable models and the investigation of traffic flow. By choosing the activities in an apropriate way the dimer configurations of the Kasteleyn model on a hexagonal lattice can be…

凝聚态物理 · 物理学 2009-10-28 J. G. Brankov , V. B. Priezzhev , A. Schadschneider , M. Schreckenberg

We develop a discrete Boltzmann-type model that uses dynamics in phase space to describe the behavior of traffic flows. Firstly, we model the traffic flow at mesoscopic scale using dynamics in phase space, which is considered as an…

元胞自动机与格子气 · 物理学 2023-11-27 Zhizhen Zhang , Changhong Lu

A general family of $D$-dimensional, $K$-state cellular automata is proposed where the update rule is sequentially applied in each dimension. This includes the Biham--Middleton--Levine traffic model, which is a 2D cellular automaton with 3…

元胞自动机与格子气 · 物理学 2015-01-06 Daniel Lawrence Lu

Autonomous vehicles are essential to future transportation systems, potentially reducing traffic congestion. This study examines the impact of different vehicle control strategies on traffic flow through simulations. We propose a novel…

元胞自动机与格子气 · 物理学 2025-09-08 Kayo Kinjo , Akiyasu Tomoeda

Defining the density flow of perturbations moving at a given speed for cellular automata, we establish equalities and inequalities between the measurable entropy of a cellular automaton and the measurable entropy of its associated shift.

动力系统 · 数学 2012-07-12 Pierre Tisseur

In this paper we present two interesting properties of stochastic cellular automata that can be helpful in analyzing the dynamical behavior of such automata. The first property allows for calculating cell-wise probability distributions over…

形式语言与自动机理论 · 计算机科学 2015-08-20 Witold Bołt , Jan M. Baetens , Bernard DeBaets

In this paper a recent variable anticipation cellular automata model for single-lane traffic flow is extended to analyze the situation of free and congested flow in the Highway from Mexico City to Cuernavaca. This highway presents free flow…

其他凝聚态物理 · 物理学 2009-11-11 J. A. del Rio , M. E. Larraga

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

In a mini-review [Physica A {\bf 392} (2013) 5261--5282] it has been shown that classical traffic flow theories and models failed to explain empirical traffic breakdown -- a phase transition from metastable free flow to synchronized flow at…

物理与社会 · 物理学 2016-01-15 Boris S. Kerner

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…

统计力学 · 物理学 2007-05-23 W. Knospe , L. Santen , A. Schadschneider , M. Schreckenberg

We use a cellular automata approach to numerically investigate traffic flow patterns on a single lane. The free-flow phase (F), the synchronized phase (S), and the jam phase (J) are observed and the transitions among them are studied as the…

元胞自动机与格子气 · 物理学 2011-09-13 Hyun Keun Lee , Beom Jun Kim

A cellular automaton named Rule 184++C is proposed as a meta-model to investigate the flow of various complex particles. In this model, unlike the granular pipe flow and the traffic flow, not only the free-jam phase transition but also the…

comp-gas · 物理学 2009-10-31 A. Awazu

The problem of state selection when multiple metastable states compete for occupation is considered for systems that are accelerated far from equilibrium. The dynamics of the supercurrent in a narrow superconducting ring under the influence…

软凝聚态物质 · 物理学 2008-02-03 Martin Tarlie , Ken Elder

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

While many classical traffic models treat the spatial extension of streets continuously or by discretization into cells of a certain length, we will subdivide roads into comparatively long homogeneous road sections of constant capacity with…

统计力学 · 物理学 2009-11-10 Dirk Helbing

We study condensation in one-dimensional transport models with a kinetic constraint. The kinetic constraint results in clustering of immobile vehicles; these clusters can grow to macroscopic condensates, indicating the onset of dynamic…

统计力学 · 物理学 2015-06-18 Daniel Miedema , Astrid de Wijn , Peter Schall

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

We study a minimal model of traffic flows in complex networks, simple enough to get analytical results, but with a very rich phenomenology, presenting continuous, discontinuous as well as hybrid phase transitions between a free-flow phase…

统计力学 · 物理学 2015-05-13 Daniele De Martino , Luca Dall'Asta , Ginestra Bianconi , Matteo Marsili

A macroscopic model is proposed to depict the traffic dynamics involved in urban traffic systems. The link dynamics are described based on the cell-transmission model and bounded by the link capacities, while the flow dynamics are proposed…

最优化与控制 · 数学 2020-02-25 Yicheng Zhang