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Erschienen in:
2012 | OriginalPaper | Buchkapitel
Playing Optimally on Timed Automata with Random Delays
verfasst von : Nathalie Bertrand, Sven Schewe
Erschienen in: Formal Modeling and Analysis of Timed Systems
Verlag: Springer Berlin Heidelberg
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We marry continuous time Markov decision processes (CTMDPs) with stochastic timed automata into a model with joint expressive power. This extension is very natural, as the two original models already share exponentially distributed sojourn times in locations. It enriches CTMDPs with timing constraints, or symmetrically, stochastic timed automata with one conscious player. Our model maintains the existence of optimal control known for CTMDPs. This also holds for a richer model with two players, which extends continuous time Markov games. But we have to sacrifice the existence of simple schedulers: polyhedral regions are insufficient to obtain optimal control even in the single-player case.