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The Besicovitch pseudo-metric is a shift-invariant pseudo-metric on the set of infinite sequences, that enjoys interesting properties and is suitable for studying the dynamics of cellular automata. They correspond to the asymptotic behavior…

动力系统 · 数学 2022-03-31 Firas Ben Ramdhane , Pierre Guillon

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

Autonomous vehicles (AVs) must share space with pedestrians, both in carriageway cases such as cars at pedestrian crossings and off-carriageway cases such as delivery vehicles navigating through crowds on pedestrianized high-streets. Unlike…

We develop a two-dimensional cellular automaton (CA) as a simple model for agents moving from origins to destinations. Each agent moves towards an empty neighbor site corresponding to the minimal distance to its destination. The…

物理与社会 · 物理学 2009-11-11 Najem Moussa

Cellular automata are a discrete dynamical system which models massively parallel computation. Much attention is devoted to computations with small time complexity for which the parallelism may provide further possibilities. In this paper,…

形式语言与自动机理论 · 计算机科学 2012-08-15 Anaël Grandjean , Gaétan Richard , Véronique Terrier

Multilevel modeling is increasingly relevant in the context of modelling and simulation since it leads to several potential benefits, such as software reuse and integration, the split of semantically separated levels into sub-models, the…

性能 · 计算机科学 2024-03-26 Luca Serena , Moreno Marzolla , Gabriele D'Angelo , Stefano Ferretti

Any algorithm (in the sense of Gurevich's abstract-state-machine axiomatization of classical algorithms) operating over any arbitrary unordered domain can be simulated by a dynamic cellular automaton, that is, by a pattern-directed cellular…

计算机科学中的逻辑 · 计算机科学 2015-04-14 Nachum Dershowitz , Evgenia Falkovich

A spatially continuous force-based model for simulating pedestrian dynamics is introduced which includes an elliptical volume exclusion of pedestrians. We discuss the phenomena of oscillations and overlapping which occur for certain choices…

物理与社会 · 物理学 2015-05-19 Mohcine Chraibi , Armin Seyfried , Andreas Schadschneider

We study the impact of global traffic light control strategies in a recently proposed cellular automaton model for vehicular traffic in city networks. The model combines basic ideas of the Biham-Middleton-Levine model for city traffic and…

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

How to reproduce realistic motion in simulations has always been a fundamental problem for pedestrian dynamics, and a critical challenge for current studies is the natural correlation of the movement choices and the human behaviours. To…

物理与社会 · 物理学 2022-04-27 Yao Xiao

In this paper a model of pedestrian motion is presented. As application its parameters are fitted to one run in a primary school evacuation exercise. Simulations with these parameters are compared to further runs during the same exercise.

计算物理 · 物理学 2014-02-10 Tobias Kretz , Michael Schreckenberg

As a healthy and green transportation mode, cycling has been advocated by many governments. However, compared with vast amounts of works on vehicle flow and pedestrian flow, the bicycle flow study currently lags far behind. We have carried…

适应与自组织系统 · 物理学 2014-11-06 Jiang Rui , Hu Mao-Bin , Wu Qing-Song , Song Wei-Guo Song

We describe a simple framework for micro simulation of city traffic. A medium sized excerpt of Dallas was used to examine different levels of simulation fidelity of a cellular automaton method for the traffic flow simulation and a simple…

adap-org · 物理学 2009-10-30 M. Rickert , Kai Nagel

In recent works, we have proposed a stochastic cellular automaton model of traffic flow connecting two exactly solvable stochastic processes, i.e., the Asymmetric Simple Exclusion Process and the Zero Range Process, with an additional…

统计力学 · 物理学 2009-05-19 Masahiro Kanai , Katsuhiro Nishinari , Tetsuji Tokihiro

Correlated time series are time series that, by virtue of the underlying process to which they refer, are expected to influence each other strongly. We introduce a novel approach to handle such time series, one that models their interaction…

人工智能 · 计算机科学 2007-05-23 Luis O. Rigo , Valmir C. Barbosa

How do cellular automata behave in the limit of a very large number of cells? Is there a continuum limit with simple properties? We attack this problem by mapping certain classes of automata to quantum field theories for which powerful…

元胞自动机与格子气 · 物理学 2022-12-08 C. Wetterich

A simple relation of the order of $n$ abstract objects generates an $n-2$ dimensional basis of three dimensional vectors. A cellular automaton-like model of evolution of this system is postulated. During this evolution, some quantities…

元胞自动机与格子气 · 物理学 2017-08-14 Marek Pietrow

In cellular automata with memory, the unchanged maps of the conventional cellular automata are applied to cells endowed with memory of their past states in some specified interval. We implement Rule 30 automata with a majority memory and…

元胞自动机与格子气 · 物理学 2010-11-23 Genaro J. Martinez , Andrew Adamatzky , Ramon Alonso-Sanz , J. C. Seck-Touh-Mora

In the present work, a geometrical method to generate a two dimensional random walk by means of a bidimensional Cellular Automaton is presented. We illustrate it by means of Conway's Game of Life with periodical borders, with a large…