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The density classification task is a famous problem in the theory of cellular automata. It is unsolvable for deterministic automata, but recently solutions for stochastic cellular automata have been found. One of them is a set of stochastic…

Cellular Automata and Lattice Gases · Physics 2019-07-22 Markus Redeker

Many diffusion processes in nature and society were found to be anomalous, in the sense of being fundamentally different from conventional Brownian motion. An important example is the migration of biological cells, which exhibits…

Statistical Mechanics · Physics 2018-02-13 J. M. Nava-Sedeno , H. Hatzikirou , R. Klages , A. Deutsch

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…

Statistical Mechanics · Physics 2009-10-30 B. Eisenblaetter , L. Santen , A. Schadschneider , M. Schreckenberg

This paper shows how to determine all the unidimensional two-state cellular automaton rules of a given number of inputs which conserve the number of active sites. These rules have to satisfy a necessary and sufficient condition. If the…

adap-org · Physics 2009-10-30 Nino Boccara , Henryk Fuks

This paper introduces a fuzzy cellular model of road traffic that was intended for on-line applications in traffic control. The presented model uses fuzzy sets theory to deal with uncertainty of both input data and simulation results.…

Emerging Technologies · Computer Science 2015-03-19 Bartłomiej Płaczek

We propose a 2-dimensional cellular automaton model to simulate pedestrian traffic. It is a vmax=1 model with exclusion statistics and parallel dynamics. Long-range interactions between the pedestrians are mediated by a so called floor…

Statistical Mechanics · Physics 2009-11-07 C. Burstedde , K. Klauck , A. Schadschneider , J. Zittartz

This paper proposes a simplified version of classical models for urban transportation networks, and studies the problem of controlling intersections with the goal of optimizing network-wide congestion. Differently from traditional…

Optimization and Control · Mathematics 2018-11-08 Gianluca Bianchin , Fabio Pasqualetti

We study a cellular automaton model, which allows diffusion of energy (or equivalently any other physical quantities such as mass of a particular compound) at every lattice site after each timestep. Unit amount of energy is randomly added…

Condensed Matter · Physics 2009-10-22 T. C. Chan , H. F. Chau , K. S. Cheng

The spatio-temporal organizations of vehicular traffic in cellular-automata models with "slow-to-start" rules are qualitatively different from those in the Nagel-Schreckenberg (NaSch) model of highway traffic. Here we study the effects of…

Statistical Mechanics · Physics 2009-10-31 Debashish Chowdhury , Ludger Santen , Andreas Schadschneider , Shishir Sinha , Abhay Pasupathy

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 · Physics 2009-10-31 A. Awazu

Making the connection between the function and structure of networked systems is one of the fundamental issues in complex systems and network science. Urban traffic flows are related to various problems in cities and can be represented as a…

Physics and Society · Physics 2023-11-07 Yungi Kwon , Jung-Hoon Jung , Young-Ho Eom

Based of simulations of a stochastic three-phase traffic flow model, we reveal that at a signalized city intersection under small link inflow rates at which a vehicle queue developed during the red phase of light signal dissolves fully…

Physics and Society · Physics 2015-05-30 Boris S. Kerner

In this paper, we analyze the performance of cellular networks and study the optimal base station (BS) density to reduce the network power consumption. In contrast to previous works with similar purpose, we consider Poisson traffic for…

Information Theory · Computer Science 2015-06-24 Zheng Chen , Ling Qiu

Next generation cellular networks will be heterogeneous with dense deployment of small cells in order to deliver high data rate per unit area. Traffic variations are more pronounced in a small cell, which in turn lead to more dynamic…

Information Theory · Computer Science 2015-03-30 Binnan Zhuang , Dongning Guo , Michael L. Honig

Simple physical models based on fluid mechanics have long been used to understand the flow of vehicular traffic on freeways; analytically tractable models of flow on an urban grid, however, have not been as extensively explored. In an ideal…

Physics and Society · Physics 2013-10-21 Mark J Panaggio , Bertrand J Ottino-Löffler , Peiguang Hu , Daniel M Abrams

Understanding mobile traffic patterns of large scale cellular towers in urban environment is extremely valuable for Internet service providers, mobile users, and government managers of modern metropolis. This paper aims at extracting and…

Networking and Internet Architecture · Computer Science 2015-10-15 Huandong Wang , Fengli Xu , Yong Li , Pengyu Zhang , Depeng Jin

We propose a calibrated two-dimensional cellular automaton model to simulate pedestrian motion behavior. It is a v=4 (3) model with exclusion statistics and random shuffled dynamics. The underlying regular grid structure results in a…

Physics and Society · Physics 2021-04-01 Michael Schultz , Hartmut Fricke

The dramatic growth in cellular traffic volume requires cellular network operators to develop strategies to carefully dimension and manage the available network resources. Forecasting traffic volumes is a fundamental building block for any…

Networking and Internet Architecture · Computer Science 2022-07-05 Andrea Pimpinella , Federico Di Giusto , Alessandro Redondi , Luisa Venturini , Andrea Pavon

Truck platooning is a technology that is expected to become widespread in the coming years. Apart from the numerous benefits that it brings, its potential effects on the overall traffic situation need to be studied further, especially at…

Optimization and Control · Mathematics 2020-03-25 Mladen Čičić , Li Jin , Karl Henrik Johansson

Recently, motivated by the pioneer works in revealing the small-world effect and scale-free property of various real-life networks, many scientists devote themselves to studying complex networks. In this paper, we give a brief review on the…

Physics and Society · Physics 2007-05-23 Bing-Hong Wang , Tao Zhou