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2017 | OriginalPaper | Buchkapitel

Investigating Parametric Influence on Discrete Synchronisation Protocols Using Quantitative Model Checking

verfasst von : Paul Gainer, Sven Linker, Clare Dixon, Ullrich Hustadt, Michael Fisher

Erschienen in: Quantitative Evaluation of Systems

Verlag: Springer International Publishing

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Abstract

Synchronisation is an emergent phenomenon observable in nature. Natural synchronising systems have inspired the development of protocols for achieving coordination in a diverse range of distributed dynamic systems. Spontaneously synchronising systems can be mathematically modelled as coupled oscillators. In this paper we present a novel approach using model checking to reason about achieving synchrony for different models of synchronisation. We describe a general, formal population model where oscillators interact at discrete moments in time, and whose cycles are sequences of discrete states. Using the probabilistic model checker Prism, we investigate the influence of various parameters of the model on the likelihood of, and time required for, achieving synchronisation.

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Fußnoten
1
The model generation script and the results presented in this paper can be found at https://​github.​com/​PaulGainer/​mc-bio-synch.
 
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Metadaten
Titel
Investigating Parametric Influence on Discrete Synchronisation Protocols Using Quantitative Model Checking
verfasst von
Paul Gainer
Sven Linker
Clare Dixon
Ullrich Hustadt
Michael Fisher
Copyright-Jahr
2017
DOI
https://doi.org/10.1007/978-3-319-66335-7_14