Efficient computation of time-bounded reachability probabilities in uniform continuous-time Markov decision processes

Baier, Christel and Hermanns, Holger and Katoen, Joost-Pieter and Haverkort, Boudewijn R. (2005) Efficient computation of time-bounded reachability probabilities in uniform continuous-time Markov decision processes. Theoretical Computer Science, 345 (1). pp. 2-26. ISSN 0304-3975

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Abstract:	A continuous-time Markov decision process (CTMDP) is a generalization of a continuous-time Markov chain in which both probabilistic and nondeterministic choices co-exist. This paper presents an efficient algorithm to compute the maximum (or minimum) probability to reach a set of goal states within a given time bound in a uniform CTMDP, i.e., a CTMDP in which the delay time distribution per state visit is the same for all states. It furthermore proves that these probabilities coincide for (time-abstract) history-dependent and Markovian schedulers that resolve nondeterminism either deterministically or in a randomized way.
Item Type:	Article
Copyright:	© 2005 Elsevier Science
Faculty:	Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:	Formal Methods and Tools (FMT) Design and Analysis of Communication Systems (DACS)
Link to this item:	http://purl.utwente.nl/publications/54792
Official URL:	http://dx.doi.org/10.1016/j.tcs.2005.07.022
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