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Published in:
2013 | OriginalPaper | Chapter
Modelling, Reduction and Analysis of Markov Automata
Authors : Dennis Guck, Hassan Hatefi, Holger Hermanns, Joost-Pieter Katoen, Mark Timmer
Published in: Quantitative Evaluation of Systems
Publisher: Springer Berlin Heidelberg
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Markov automata (MA) constitute an expressive continuous-time compositional modelling formalism. They appear as semantic backbones for engineering frameworks including dynamic fault trees, Generalised Stochastic Petri Nets, and AADL. Their expressive power has thus far precluded them from effective analysis by probabilistic (and statistical) model checkers, stochastic game solvers, or analysis tools for Petri net-like formalisms. This paper presents the foundations and underlying algorithms for efficient MA modelling, reduction using static analysis, and most importantly, quantitative analysis. We also discuss implementation pragmatics of supporting tools and present several case studies demonstrating feasibility and usability of MA in practice.