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Mohyla Mathematical Journal
Article . 2022 . Peer-reviewed
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Research of Stochastic Behaviour of Cellular Automata

Research of stochastic behaviour of cellular automata
Authors: Serhii Hlushenkov; Ruslan Chornei;

Research of Stochastic Behaviour of Cellular Automata

Abstract

A wide range of complex systems with local interactions could be described by cellular automata. Despite the fact, that in general, behaviour of each cellular automata on its own could be quite simple, their effective combination, or setting unusual interaction rules may result in extraordinary system with much more complicated behaviour, or unexpected and ambiguous observation results. Stochasticity in interactions between cells approximates simulated environment to real conditions and helps finding optimal strategy, which would be more stable under all circumstances and events, especially unlikely ones. Stochastic cellular automata are often used for modelling natural phenomena and processes, simulating traffic flows, cryptography, and so on. Finding an optimal strategy – is a key problem in managing environments with available outside influence.This article shows existence of optimal strategies for stochastic cellular automata systems, gives an example of applying improving strategy algorithm in case of extinguishing forest fires, analyses chosen strategy optimality.

Keywords

Cellular automata (computational aspects), оптимальні стратегії, optimal control, Dynamical aspects of cellular automata, forest fires, stochastic cellular automata, optimal strategies, стохастичні клітинні автомати, оптимальне керування, лісові пожежі

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
hybrid
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