Title
Playing optimally on timed automata with random delays
Abstract
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.
Year
DOI
Venue
2012
10.1007/978-3-642-33365-1_5
FORMATS
Keywords
Field
DocType
polyhedral region,joint expressive power,sojourn time,richer model,original model,random delay,conscious player,optimal control,share exponentially,continuous time markov decision,continuous time markov game
Random delay,Optimal control,Computer science,Automaton,Markov chain,Markov decision process,Theoretical computer science,Exponential distribution,Expressive power
Conference
Citations 
PageRank 
References 
3
0.41
17
Authors
2
Name
Order
Citations
PageRank
Nathalie Bertrand125017.84
Sven Schewe249642.54