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Erschienen in:
2014 | OriginalPaper | Buchkapitel
Accelerating Parametric Probabilistic Verification
verfasst von : Nils Jansen, Florian Corzilius, Matthias Volk, Ralf Wimmer, Erika Ábrahám, Joost-Pieter Katoen, Bernd Becker
Erschienen in: Quantitative Evaluation of Systems
Verlag: Springer International Publishing
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We present a novel method for computing reachability probabilities of parametric discrete-time Markov chains whose transition probabilities are fractions of polynomials over a set of parameters.Our algorithm is based on two key ingredients: a graph decomposition into strongly connected subgraphs combined with a novel factorization strategy for polynomials. Experimental evaluations show that these approaches can lead to a speed-up of up to several orders of magnitude in comparison to existing approaches.