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In this paper, we propose the ultra-discrete optimal velocity model, a cellular-automaton model for traffic flow, by applying the ultra-discrete method for the optimal velocity model. The optimal velocity model, defined by a differential…

Cellular Automata and Lattice Gases · Physics 2009-05-23 Masahiro Kanai , Shin Isojima , Katsuhiro Nishinari , Tetsuji Tokihiro

The synchronization of two stochastically coupled one-dimensional cellular automata (CA) is analyzed. It is shown that the transition to synchronization is characterized by a dramatic increase of the statistical complexity of the patterns…

Cellular Automata and Lattice Gases · Physics 2007-05-23 Juan R. Sánchez , Ricardo López-Ruiz

Heavy traffic congestion daily occurs at merging sections on highway. For releasing this congestion, possibility of alternative configuration of vehicles on multiple-lane road is discussed in this paper. This is the configuration where no…

Physics and Society · Physics 2013-05-29 Ryosuke Nishi , Hiroshi Miki , Akiyasu Tomoeda , Katsuhiro Nishinari

This study focuses on an extended model of a standard cellular automaton (CA) that includes an extra index consisting of a radius that defines a perception area for each cell in addition to the radius defined by the CA rule. Extended…

Computational Complexity · Computer Science 2015-12-22 Yoshihiko Kayama

Vehicle flow, a crucial indicator for transportation, is often limited by detector coverage. With the advent of extensive mobile network coverage, we can leverage mobile user activities, or cellular traffic, on roadways as a proxy for…

Computer Vision and Pattern Recognition · Computer Science 2024-03-21 ChungYi Lin , Shen-Lung Tung , Hung-Ting Su , Winston H. Hsu

With rapid expansion of cellular networks and the proliferation of mobile devices, cellular traffic data exhibits complex temporal dynamics and spatial correlations, posing challenges to accurate traffic prediction. Previous methods often…

Networking and Internet Architecture · Computer Science 2026-02-20 Ziyi Li , Hui Ma , Fei Xing , Chunjiong Zhang , Ming Yan

The concept of mobility prediction represents one of the key enablers for an efficient management of future cellular networks, which tend to be progressively more elaborate and dense due to the aggregation of multiple technologies. In this…

Signal Processing · Electrical Eng. & Systems 2019-07-26 Giulio Siracusano , Aurelio La Corte

A small-world cellular automaton network has been formulated to simulate the long-range interactions of complex networks using unconventional computing methods in this paper. Conventional cellular automata use local updating rules. The new…

Cellular Automata and Lattice Gases · Physics 2010-03-26 Xin-She Yang , Young Z. L. Yang

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…

Statistical Mechanics · Physics 2009-11-07 A. Pottmeier , R. Barlovic , W. Knospe , A. Schadschneider , M. Schreckenberg

We study the urban-scale macroscopic traffic flow in city networks. Star graph is considered as traffic network. Star graphs with controlled traffic flow are transformed to various cell-transmission graphs by using the cell transmission…

Adaptation and Self-Organizing Systems · Physics 2019-12-10 Takashi Nagatani

In this paper I present a first attempt for a possible description of fluids dynamics by mean of a cellular automata technique. With the use of simple and elementary rules, based on random behaviour either, the model permits to obtain the…

Computational Complexity · Computer Science 2007-05-23 Gianluca Argentini

Topological dynamics of cellular automata (CA), inherited from classical dynamical systems theory, has been essentially studied in dimension 1. This paper focuses on 2D CA and aims at showing that the situation is different and more…

Discrete Mathematics · Computer Science 2009-04-29 Mathieu Sablik , Guillaume Theyssier

Transitions between two lanes often have a significant impact on various forms of road traffic. To address this problem, we have developed a two-lane asymmetric simple exclusion process model and two hypothetical traffic control strategies,…

Physics and Society · Physics 2022-12-14 Yuming Dong , Xiaolu Jia , Daichi Yanagisawa , Akihito Nagahama , Katsuhiro Nishinari

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…

Cellular Automata and Lattice Gases · Physics 2020-08-21 Damian N. Dailisan , May T. Lim

A set of exact solutions for a cellular automaton, which is a hybrid of the optimal velocity and the slow-to-start models, is presented. The solutions allow coexistence of free flows and jamming or slow clusters, which is observed in…

Cellular Automata and Lattice Gases · Physics 2012-11-20 Hideaki Ujino , Tetsu Yajima

A Cellular Automata (CA) rule is presented that can generate "loop patterns" in a 2D grid under fixed boundary conditions. A loop is a cyclically closed path represented by one-cells enclosed by zero-cells. A loop pattern can contain…

Cellular Automata and Lattice Gases · Physics 2025-05-30 Rolf Hoffmann , Mariusz Białecki

We extend a previously introduced semi-analytical representation of a decomposition of CA dynamics in arbitrary dimensions and neighborhood schemes via the use of certain universal maps in which CA rule vectors are derivable from the…

Cellular Automata and Lattice Gases · Physics 2017-08-29 Theophanes E. Raptis

The Nagel-Schreckenberg model is a simple cellular automaton for a realistic description of single-lane traffic on highways. For the case $v_{max}=1$ the properties of the stationary state can be obtained exactly. For the more relevant case…

Statistical Mechanics · Physics 2009-10-31 Andreas Schadschneider

We show techniques of analyzing complex dynamics of cellular automata (CA) with chaotic behaviour. CA are well known computational substrates for studying emergent collective behaviour, complexity, randomness and interaction between order…

Cellular Automata and Lattice Gases · Physics 2012-03-29 Genaro J. Martinez , Andrew Adamatzky , Ramon Alonso-Sanz

In modern transportation systems, traffic congestion is inevitable. To minimize the loss caused by congestion, various control strategies have been developed most of which rely on observing real-time traffic conditions. As vintage traffic…

Systems and Control · Electrical Eng. & Systems 2020-02-11 Suyash C. Vishnoi , Sebastian A. Nugroho , Ahmad F. Taha , Christian Claudel , Taposh Banerjee