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We characterize the stability, metastability, and the stationary regime of traffic dynamics in a single-cell uplink wireless system. The traffic is represented in terms of spatial birth-death processes, in which users arrive as a Poisson…

信息论 · 计算机科学 2020-10-15 Ahmad AlAmmouri , Jeffrey G. Andrews , Francois Baccelli

In the Biham-Middleton-Levine traffic model cars are placed with some density p on a two dimensional torus, and move according to a (simple) set of predefined rules. Computer simulations show this system exhibits many interesting phenomena:…

概率论 · 数学 2007-09-11 Itai Benjamini , Ori Gurel-Gurevich , Roey Izkovsky

This paper introduces a hierarchical cellular automaton (HCA)model for simulation of distributed self-organizing control of traffic signals at intersections in road network. The proposed HCA consists of three hierarchy levels that describe…

系统与控制 · 计算机科学 2018-10-01 Bartłomiej Płaczek

A necessary and sufficient condition for a one-dimensional q-state n-input cellular automaton rule to be number-conserving is established. Two different forms of simpler and more visual representations of these rules are given, and their…

adap-org · 物理学 2007-05-23 Nino Boccara , Henryk Fuks

Congestion in transport networks is a topic of theoretical interest and practical importance. In this paper we study the flow of vehicles in urban street networks. In particular, we use a cellular automata model to simulate the motion of…

物理与社会 · 物理学 2010-12-16 Salvatore Scellato , Luigi Fortuna , Mattia Frasca , Jesús Gómez-Gardeñes , Vito Latora

In this paper, we propose a novel model that describes how the traffic evolution on a highway stretch is affected by the presence of a service station. The presented model enhances the classical CTM dynamics by adding the dynamics…

系统与控制 · 电气工程与系统科学 2022-09-15 Carlo Cenedese , Michele Cucuzzella , Antonella Ferrara , John Lygeros

We propose a stochastic model for the intersection of two urban streets. The vehicular traffic at the intersection is controlled by a set of traffic lights which can be operated subject to fix-time as well as traffic adaptive schemes.…

凝聚态物理 · 物理学 2012-03-19 M. Ebrahim Fouladvand , Zeinab Sadjadi , M. Reza Shaebani

We construct a cellular automaton (CA) model that describes the movement of a particle in a disordered system. The mathematical properties of the CA model were examined by varying the configuration of grid and determining the number of…

计算物理 · 物理学 2025-02-05 Lander Besabe , Editha Jose , Alvin Karlo Tapia

We study boundary induced phase transitions in a driven lattice gas exhibiting metastability. The phase diagram for open systems, parameterized by the input and output rates, consists of two regions corresponding to the free flow and jammed…

统计力学 · 物理学 2010-05-11 Cecile Appert , Ludger Santen

A new kind of cellular automaton (CA) for the study of the dynamics of urban systems is proposed. The state of a cell is not described using a finite set, but by means of continuum variables. A population sector is included, taking into…

元胞自动机与格子气 · 物理学 2007-05-23 Alberto Vancheri , Paolo Giordano , Denise Andrey , Sergio Albeverio

We propose and investigate a one-parameter probabilistic mixture of one-dimensional elementary cellular automata under the guise of a model for the dynamics of a single-species unstructured population with nonoverlapping generations in…

统计力学 · 物理学 2018-03-09 J. Ricardo G. Mendonça

Microscopic traffic models have recently gained considerable importance as a mean of optimising traffic control strategies. Computationally efficient and sufficiently accurate microscopic traffic models have been developed based on the…

离散数学 · 计算机科学 2012-04-10 Bartłomiej Płaczek

We study qualitative properties of two-dimensional freezing cellular automata with a binary state set initialized on a random configuration. If the automaton is also monotone, the setting is equivalent to bootstrap percolation. We explore…

概率论 · 数学 2022-04-20 Ville Salo , Guillaume Theyssier , Ilkka Törmä

We introduce a rigorous framework for stochastic cell transmission models for general traffic networks. The performance of traffic systems is evaluated based on preference functionals and acceptable designs. The numerical implementation…

机器学习 · 计算机科学 2023-04-25 Zachary Feinstein , Marcel Kleiber , Stefan Weber

The Biham-Middleton-Levine traffic model is perhaps the simplest system exhibiting phase transitions and self-organization. Moreover, it is an underpinning to extensive modern studies of traffic flow. The general belief is that the system…

统计力学 · 物理学 2007-05-23 R. M. D'Souza

We analyse metastable states in the East model, using a recently-proposed patch-repetition analysis based on time-averaged density profiles. The results reveal a hierarchy of states of varying lifetimes, consistent with previous studies in…

统计力学 · 物理学 2013-12-16 Robert L. Jack

Spatiotemporal features and physics of vehicular traffic congestion occurring due to heavy freeway bottlenecks caused by bad weather conditions or accidents are found based on simulations in the framework of three-phase traffic theory. A…

物理与社会 · 物理学 2007-12-12 Boris S. Kerner

In most modern cities, traffic congestion is one of the most salient societal challenges. Past research has shown that inserting a limited number of autonomous vehicles (AVs) within the traffic flow, with driving policies learned…

人工智能 · 计算机科学 2023-01-26 Yulin Zhang , William Macke , Jiaxun Cui , Daniel Urieli , Peter Stone

We present an exact solution of a probabilistic cellular automaton for traffic with open boundary conditions, e.g. cars can enter and leave a part of a highway with certain probabilities. The model studied is the asymmetric exclusion…

统计力学 · 物理学 2015-06-25 M. R. Evans , N. Rajewsky , E. R. Speer

We introduce a new model to study the oscillations of opposite flows sharing a common bottleneck and moving on two Totally Asymmetric Simple Exclusion Process (TASEP) lanes. We provide a theoretical analysis of the phase diagram, valid when…

统计力学 · 物理学 2012-06-15 Asja Jelić , Cécile Appert-Rolland , Ludger Santen