Measuring Performance of Continuous-Time Stochastic Processes using Timed Automata

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Authors

BRÁZDIL Tomáš KRČÁL Jan KŘETÍNSKÝ Jan KUČERA Antonín ŘEHÁK Vojtěch

Year of publication 2011
Type Article in Proceedings
Conference HSCC 11: Proceedings of the 14th International Conference on Hybrid Systems: Computation and Control
MU Faculty or unit

Faculty of Informatics

Citation
Field Informatics
Keywords semi-Markov processes; timed automata
Description We propose deterministic timed automata (DTA) as a model-independent language for specifying performance and dependability measures over continuous-time stochastic processes. Technically, these measures are dened as limit frequencies of locations (control states) of a DTA that observes computations of a given stochastic process. Then, we study the properties of DTA measures over semi-Markov processes in greater detail. We show that DTA measures over semi-Markov processes are well-defined with probability one, and there are only finitely many values that can be assumed by these measures with positive probability. We also give an algorithm which approximates these values and the associated probabilities up to an arbitrarily small given precision. Thus, we obtain a general and effective framework for analysing DTA measures over semi-Markov processes.
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