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Erschienen in:
2012 | OriginalPaper | Buchkapitel
Probabilistic Graph Transformation Systems
verfasst von : Christian Krause, Holger Giese
Erschienen in: Graph Transformations
Verlag: Springer Berlin Heidelberg
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In the recent years, extensions of graph transformation systems with quantitative properties, such as real-time and stochastic behavior received considerable attention. In this paper, we describe the new quantitative modeling approach of
probabilistic graph transformation systems
(PGTSs) which incorporate probabilistic behavior into graph transformation systems. Among other applications, PGTSs permit to model randomized protocols in distributed and mobile systems, and systems with on-demand probabilistic failures, such as message losses in unreliable communication media. We define the semantics of PGTSs in terms of Markov decision processes and employ probabilistic model checking for the quantitative analysis of finite-state PGTS models. We present tool support using
Henshin
and
Prism
for the modeling and analysis and discuss a probabilistic broadcast case study for wireless sensor networks.