Revisão Bibliográfica: Autômatos Celulares


Title: Dyad Models for Childhood Epidemics



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Title: Dyad Models for Childhood Epidemics


Author: Keeling Rand

Abstract: Introduction Measles is one of the most communicable infectious diseases. Prior to immunisation, measles was a common childhood disease even in developed countries with over 90% of the population having been infected by age 20. In young and malnourished children measles may be fatal in between 5% and 10% of the cases and so is responsible for many deaths in the developing world. Figure 1 near here The prediction of measles epidemics and dynamics is undoubtedly very important from a public health view; however the understanding of measles has become a goal to many epidemiologists as it possesses complex dynamics, yet a very simple natural history and many plausible population models (Hamer ...


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...and its neighbours probabilistically determines the state of the site at the next iteration (cf cellular automata only here there is far greater flexibility in the number of neighbouring sites). The standard... /...Models for Childhood Epidemics M. J. Keeling 1 , D. A. Rand 2 and A. Morris 2 1. Zoology Department, Downing Street,...

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...such as epidemics, chemical reactions [4, 5], catalysis [6], the contact process [7], and certain cellular automata [8, 9]. Since all of these physical systems contain boundaries, an understanding of surface... /...of phase transitions from non-trivial active into absorbing states [3] in processes such as epidemics, chemical reactions [4, 5], catalysis [6], the contact process [7], and certain cellular automata ...
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3.3.3) Migração de Animais
In landscape ecology, computer models are developed to simulate the migration of animal groups, as they exist in nature. Typically, these models are sequential, and the animal groups move and forage in sequence. Computer models can be used to study responses of ungulates to environmental heterogeneity (Turner et al, 1994). Models from landscape ecology, in particular, attempt to simulate interactions between animal and vegetation.
Bibliografia:
Fonte: http://citeseer.nj.nec.com

Referências Principais:

Title: Parallel Models of Animal Migration in Northern Yellowstone


Author: Ember Uziel (1995)

Abstract: this paper, a parallel animal migration model (pnoyelp) was implemented on the Thinking Machines CM-5. Results were very promising with reasonable speed improvements over a previous sequential model (noyelp) and with acceptable semiannual energy gain statistics. Modifications to the pnoyelp model using more assumptions of the original sequential model is possible, of course. However, such additions to the model could impair the speed improvements realized in the current


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3.4) Problemas de Tráfego e similares
O Problema de Tráfego
Modelagem utilizando autômatos celulares.
Para realizar rápidas simulações microscópicas de tráfego, utilizamos um modelo muito restrito de dinâmica de carros. A rua é dividida em celas de 7.5m cada, e toda cela pode estar ocupada (há um carro) ou vazia. Cada carro tem um número muito limitado de informações associado, o mais importante deles é a sua velocidade que pode variar entre inteiros de zero a seis. O sistema é atualizado em passos discretos onde cada passo de tempo corresponde a um segundo. O fato, de tudo ser discreto (tempo, espaço e estado) define o modelo como um autômato celular. (Para maiores informações e exemplos de simulação de CA em geral, veja os vínculos).

Para completar, temos que especificar as regras dos autômatos celulares. Eles são orientados junto com uma descrição mais complicada da dinâmica do carro. Porém, as regras implementadas são um tipo de caricaturas dessas descrições mais complicadas para adquirir um comportamento macroscópico desejado, e não implementar a dinâmica microscópica tão fiel quanto possível.

As regras atualizadas são modeladas de acordo com as seguintes exigências:

_carros sempre querem dirigir com a velocidade máxima deles (Vmax)

_eles não querem nenhuma colisão

Para isto, quatro regras são atualizadas em paralelo: Denote como intervalo o número de locais vazios à frente, então o estado do sistema é atualizado como:

(1) se ((v

(2) elseif (v> Gap) v = Gap

(3) se ((fortuito ()
0)) v = v - 1

(4) xnew = xold + v

A regra (3) torna este modelo um modelo estocástico de autômato celular, a estocasticidade é incluída por duas razões. Em primeiro lugar, o comportamento de direção humano nunca é muito estático ou deterministico. A regra (3) é uma suposição que lida com este tipo de estocasticidade. Secundariamente, é bem conhecido das simulações numéricas de tais modelos que regras de atualização paralelas sem estocasticidade conduzem a certas degenerações.

No site http://alife.santafe.edu/alife/topics/canonicamente/caweb há uma pequena simulação que mostra as linhas de tempo espaço geradas pelo modelo definido acima com uns 100 carros no sistema, o que é bem parecido com o que pode ser visto de uma fotografia aérea de um pedaço de rua.

Um modelo bem parecido com este, utilizado em ciência de tráfico é o modelo de Gipps. Maiores detalhes sobre ele e a comparação dos modelos pode ser encontrada em http://www.zpr.uni-koeln.de/GroupBachem/Verkehr.pg/brake.ps

Este modelo muito simples em seus vários descendentes conduz a resultados macroscópicos muito realistas. Um exemplo é mostrado abaixo, onde temos plotado o fluxo de carros por segundo como função da densidade de carros. Este enredo mostra a forma típica: para fluxos pequenos nós temos fluxo que aumenta com densidade, enquanto para valores de fluxo grandes o fluxo diminui com densidade até que alcança zero para a densidade máxima.




Fonte: Citeseer: http://citeseer.nj.nec.com

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Discrete Stochastic Models For Traffic Flow - Schreckenberg, Schadschneider, .. (1994)  


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Traffic Simulations Using Cellular Automata: Comparison With.. - Wagner (1995)  
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Cellular automata model of car traffic in a.. - Chopard, Luthi, Queloz (1996)  
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Realistic Multi-Lane Traffic Rules for Cellular Automata - Wagner, Nagel, Wolf (1996)  
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A Parallel Cellular Tool for Interactive Modeling and .. - Di Gregorio, Rongo.. (1995)  
...1995 Abstract In this paper we describe CAMEL, an interactive parallel environment based on the cellular automata theory. CAMEL is a tool designed to support the development of high performance applications in... /...paper presents a set of applications in significant areas such as lava flow, landslides, freeway traffic, image processing, and genetic algorithms where CAMEL has been successfully utilized to solve...

CARPET: A Programming Language for Parallel Cellular.. - Giandomenico Spezzano (1996)  
...Italy Abstract In this paper we describe CARPET, a parallel programming language based on the cellular automata model. CARPET is the language used for programming cellular algorithms in the CAMEL environment.... /...and chemical phenomena to the modelling of engineering problems in many fields such as road traffic, image processing, and science of materials. Parallel computers represent the most natural...

Two Lane Traffic Simulations using Cellular Automata - Rickert, Nagel.. (1995)  
...und Informatik Universit at zu K oln Report No. 95.213 Two Lane Traffic Simulations using Cellular Automata by M. Rickert abe , K. Nagel be , M. Schreckenberg c , A. Latour d 1995 To be... /...Mathematik und Informatik Universit at zu K oln Report No. 95.213 Two Lane Traffic Simulations using Cellular Automata by M. Rickert abe , K. Nagel be , M. Schreckenberg ...

The Swarm Simulation System and Individual-based Modeling - David Hiebeler (1994)  
... Artificial intelligence applications[3]. ffl General studies of complex systems, artificial life, cellular automata, emergent phenomena, etc. Simple versions of several of the above kinds of systems have already... /...other actions [19, 8]. ffl Molecules interacting in an artificial chemistry[5, 6, 7]. ffl Traffic simulation[18, 15]. ffl Ecological simulations[10, 4, 14, 17, 16]. ffl Simulation games such as ...

Cellular Automata As A Computational Model For Low-Level.. - Alberto Broggi Vincenzo (1993)  
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Traffic Control Specifications Using Discrete Events.. - Gabriel Wainer Alejandra  
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A Stochastic Model of Platoon Formation in Traffic Flow - Galstyan And Lerman  
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Spatial and Cognitive Simulation with Multi-agent Systems - Andrew Frank Steffen  
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Cellular Automata for Traffic Flow Modeling - Benjaafar, Dooley, Setyawan  
...Cellular Automata for Traffic Flow Modeling Saifallah Benjaafar, Kevin Dooley and Wibowo Setyawan Department of... /...Automata for Traffic Flow Modeling Saifallah Benjaafar, Kevin Dooley and Wibowo Setyawan Department of Mechanical...

Investigation of the dynamical structure factor of the.. - Lubeck Roters And (1998)  
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Online Traffic Simulation with Cellular Automata - Barlovic, Esser, Froese..  
...Traffic Simulation with Cellular Automata R. Barlovic, J. Esser, K. Froese, W. Knospe, L. Neubert, M. Schreckenberg, and J. Wahle Physik... /...Traffic Simulation with Cellular Automata R. Barlovic, J. Esser, K. Froese, W. Knospe, L. Neubert, M....

Outflow from traffic jam in a nondeterministic two lanes system - Rickert (1995)  
...interactions of the two lanes. e-mail: mr@mi.uni-koeln.de 1 1 Introduction In recent times cellular automata based simulations of traffic flow have gained considerable importance. By extending the range of... /...from traffic jam in a nondeterministic two lanes system Marcus Rickert April 20, 1995 Abstract Vehicles...

Physical Modeling of Traffic with Stochastic Cellular Automata - Schreckenberg, Nagel (1995)  
...for public release distribution is unlimited Physical Modeling of Traffic with Stochastic Cellular Automata Authors: M. Schreckenberg, K. Nagel LOS ALAMOS NATIONAL LABORATORY Los Alamos National... /...95-2160 Approved for public release distribution is unlimited Physical Modeling of Traffic with Stochastic Cellular Automata Authors: M. Schreckenberg, K. Nagel LOS ALAMOS NATIONAL...

Driver Strategy and Traffic System Performance - Kelly (1996)  
...All cars' positions and velocities are represented as real numbers, not discrete values as in cellular automata or "particle hopping" models (e.g., [7]). See [3] for more information on the driving logic and... /...Strategy and Traffic System Performance Terence Kelly Department of Computer Science Princeton

Three Categories Of Traffic Data: Historical.. - Chrobok, Kaumann, ..  
...algorithm for reliable trac forecasts is discussed. Keywords: Statistical analysis, Heuristics, Cellular Automata, Trac Control, Simulator, Forecasts, Information analysis, Real-time systems 1. INTRODUCTION... /...CATEGORIES OF TRAFFIC DATA: HISTORICAL, CURRENT, AND PREDICTIVE Roland Chrobok 1 Oliver Kaumann 1 Joachim Wahle 1 ...

A Cellular Automaton Traffic Flow Model for Online .. - Wahle, Neubert.. (1999)  
...investigations the road network of Duisburg served as study area. Key words: online simulation, cellular automata, trac ow, intelligent transportation systems (ITS) 1 Introduction In modern societies the demand ... /...these elements it is possible to design the complete 6 Controller CA microsimulation Network Traffic lights Online connection with data interface Visualisation (flux, density, type of vehicles,...

Modeling and simulation of traffic flow - Wahle, Neubert, Schreckenberg (1999)  
...expanded to describe multilane traffic and more complex road networks of cities [15,16]. Since cellular automata are by definition very efficient for large scale computer simulations, the Nagel-Schreckenberg... /...Communications 121-122 (1999) 402-405 www.elsevier.nl/locate/cpc Modeling and simulation of traffic flow J. Wahle 1 , L. Neubert, M. Schreckenberg Physik von Transport und Verkehr,...

Modeling Freeway Traffic with Coupled HMMs - Kwon, Murphy  
...location 6 (which corresponds to the dark blob in Figure 1) is probably due to a sensor failure. cellular automata, and microscopic computer simulations. But all of these approaches have limitations, particularly ... /...Freeway Traffic with Coupled HMMs Jaimyoung Kwon Department of Statistics University of California Berkeley, CA...

Parallel Simulation Of Traffic In Geneva Using Cellular Automata - Dupuis, Chopard  
...SIMULATION OF TRAFFIC IN GENEVA USING CELLULAR AUTOMATA ALEXANDRE DUPUIS AND BASTIEN CHOPARD Abstract. Road traffic microsimulations based on the... /...SIMULATION OF TRAFFIC IN GENEVA USING CELLULAR AUTOMATA ALEXANDRE DUPUIS AND BASTIEN CHOPARD Abstract. Road traffic...

Spatio-temporal organization of vehicles in a cellular.. - Debashish Chowdhury..  
...v2 19 May 1999 Spatio-temporal organization of vehicles in a cellular automata model of traffic with 'slow-to-start' rule Debashish Chowdhury y , Ludger Santen y , Andreas ... /...v2 19 May 1999 Spatio-temporal organization of vehicles in a cellular automata model of traffic with 'slow-to-start' rule Debashish Chowdhury y , Ludger Santen y , Andreas Schadschneider ...

Disorder effects in cellular automata for two-lane.. - Knospe, Santen.. (1999)  
...A 265 (1999) 614-633 Disorder eects in cellular automata for two-lane trac Wolfgang Knospe a , Ludger Santen b , Andreas Schadschneider b ,... /...J. Zittartz, R. Barlovic, W. Knospe, M. Schreckenberg, in preparation. ftp://www.traffic.uni-duisburg.de/pub/paper/disorder.ps.gz...

Traffic flow models with 'slow-to-start' rules - Schadschneider, Schreckenberg (1999)  
...in one of these models we find a new phase transition to a completely jammed state. Keywords: Cellular automata, traffic flow, improved mean-field theories 1 1 Introduction The investigation of traffic flow ... /...11 Sep 1997 Traffic flow models with 'slow-to-start' rules Andreas Schadschneider 1 and Michael Schreckenberg 2 1 ...

Microscopic Simulation Of Urban Traffic Based On Cellular.. - Esser, Schreckenberg (1997)  
...1025-1036 c World Scientic Publishing Company MICROSCOPIC SIMULATION OF URBAN TRAFFIC BASED ON CELLULAR AUTOMATA J. ESSER and M. SCHRECKENBERG Fachbereich 10/Physik-Technologie... /...8, No. 5 (1997) 1025-1036 c World Scientic Publishing Company MICROSCOPIC SIMULATION OF URBAN TRAFFIC BASED ON CELLULAR AUTOMATA J. ESSER and M. SCHRECKENBERG Fachbereich 10/Physik-Technologie...

A lattice gas model for erosion and particles transport in .. - Bastien Chopard Alexandre  
...is described by a standard lattice Boltzmann model and the granular suspension by a multiparticle cellular automata. A good agreement is obtained between the predictions of the model and field measurements, as... /... in over-accumulations of snow which may trigger avalanches, or may produce snowdrifts which hinder traffic on important roads. Placing appropriate artificial obstacles, such as fences, at well chosen...

Traffic Models of a 2D road network - Chopard, Queloz, Luthi (1995)  
...models and their implementation on a Connection Machine CM-200. The first approach is based on a cellular automata rule and allows north, east, west and south car motions. Road junctions are represented in a... /...Traffic Models of a 2D road network 1 Bastien Chopard, Pierre-Antoine Queloz and Pascal O. Luthi ...

Mathematical Models for Vehicular Traffic - Klar, Kühne, Wegener (1996)  
...Section 3 contains a description of the most common microscopic models like car following and cellular automata models, the latter being already similar to very simple kinetic models. In Section 4 macroscopic... /...Models for Vehicular Traffic Axel Klar, Kaiserslautern, Reinhart D. Kuhne, Stuttgart and Raimund Wegener, Kaiserslautern...

Analyzing Traffic Flow By A Cellular Automaton - Emmerich Rank  
...cells are arranged on a line modelling traffic flow in one direction only. The basic concept of cellular automata is to iterate discrete states of a cell system in discrete timesteps with each new cell state... /...TRAFFIC FLOW BY A CELLULAR AUTOMATON H. EMMERICH, E. RANK University of Dortmund, Fakultat...

High performance scientific computing by a.. - Di Gregorio.. (1997)  
...paper describes CAMEL, a parallel environment for designing scientific applications based on the cellular automata mathematical model. CAMEL is an interactive environment designed to support the development of... /...and chemical phenomena to the modelling of engineering problems in many fields such as road traffic, image processing, and science of materials. Parallel computers represent the most natural...

Self-Organization and Evolution on Large Computer Data.. - Joaquim Gabarro  
...local rule modifies just few closely related nodes. Under these rules the tree behaves like a big cellular automata. Moreover, when some part of the tree becomes too stressed (contains too much information in a... /...Pratt [5] word processing or the work of M. Takayasu, H. Takayasu and T. Sato [14] on information traffic. However the possibility to study large data sets with the methods of self-organized criticality...

Cellular Automata + Parallel Computing = Computational Simulation - Talia  
...Cellular Automata Parallel Computing Computational Simulation Domenico Talia ISI-CNR c/o DEIS, Universit... /...are successfully used in fluid dynamics, molecular dynamics, biology, genetic, chemistry, road traffic flow, cryptography, image processing, environment modeling, and finance. This paper describes in...

The Parallel Program Development Environment CDL/ACL.. - Hochberger.. (1997)  
...we will explain on which target architectures this software environment can be used. Keywords: Cellular Automata, Parallel Program Development, Program Skeletons, Programming Languages 1 Introduction 1.1... /...soil contamination, crystal growth, reaction diffusion systems, etc. Macroscopic simulation: traffic simulation, forest fire simulation, acoustic simulation, etc. In addition to simulations it is...

Density fluctuations and phase separation in a traffic flow.. - Lubeck Schreckenberg  
...in real traffic (for an overview see [2]). Recently, a new class of models, based on the idea of cellular automata, has been proven to describe traffic dynamics in a very efficient way [3]. Especially the... /... Density fluctuations and phase separation in a traffic flow model S. Lubeck, M. Schreckenberg, and K. D. Usadel Theoretische Physik,...
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4) Autômatos Celulares dentro da Física
It appears that the basic laws of physics relevant to everyday phenomena are now known. Yet there are many everyday natural systems whose complex structure and behavior have so far defied even qualitative analysis. For example, the laws that govern the freezing of water and the conduction of heat have long been known, but analyzing their consequences for the intricate patterns of snowflake growth has not yet been possible. While many complex systems may be broken down into identical components, each beying simple laws, the huge number of components that make up the whole system act together to yield very complex behavior.

In some cases this complex behavior may be simulated numerically with just a few components. But in most cases the simulation requires too many components, and this direct approach fails. One must instead attempt to distill the mathematical essence of the process by which complex behavior is generated. The hope in such an approach is to identify fundamental mathematical mechanisms that are common to many different natural systems. Such commonality would correspond to universal features in the behavior of very different complex natural systems.

To discover and analyze the mathematical basis for the generation of complexity, one must identify simple mathematical systems that capture the essence of the process. Cellular automata are a candidate class of such systems. Cellular automata promise to provide mathematical models for a wide variety of complex phenomena, from turbulence in fluids to patterns in biological growth. The general features of their behavior discussed here should form a basis for future detailed studies of such specific systems.
Bibliografia:
Fonte: www.ifs.tuwien.ac.at/~aschatt/info/ca/ca.html



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