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N. Bertrand, S. Schewe. Playing Optimally on Timed Automata with Random Delays. In proceedings of the 10th International Conference on Formal Modeling and Analysis of Timed Systems (Formats'12), LNCS, Volume 7595, Pages 43-58, London, UK, September 2012.

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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


Nathalie Bertrand http://www.irisa.fr/prive/nbertran/

BibTex Reference

   Author = {Bertrand, N. and Schewe, S.},
   Title = {Playing Optimally on Timed Automata with Random Delays},
   BookTitle = {proceedings of the 10th International Conference on Formal Modeling and Analysis of Timed Systems (Formats'12)},
   Volume = {7595},
   Pages = {43--58},
   Series = {LNCS},
   Address = {London, UK},
   Month = {September},
   Year = {2012}

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