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Guck, D. and Han, Tingting and Katoen, J.P. and Neuhausser, M. (2012) Quantitative timed analysis of interactive Markov chains. In: 4th International Symposium on NASA Formal Methods, NFM 2012, 3-5 Apr 2012, Norfolk, VA, USA. pp. 8-23. Lecture Notes in Computer Science 7226. Springer Verlag. ISSN 0302-9743 ISBN 978-3-642-28890-6
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Official URL: http://dx.doi.org/10.1007/978-3-642-28891-3_4
This paper presents new algorithms and accompanying tool support for analyzing interactive Markov chains (IMCs), a stochastic timed 1 1/2-player game in which delays are exponentially distributed. IMCs are compositional and act as semantic model for engineering formalisms such as AADL and dynamic fault trees. We provide algorithms for determining the extremal expected time of reaching a set of states, and the long-run average of time spent in a set of states. The prototypical tool Imca supports these algorithms as well as the synthesis of ε-optimal piecewise constant timed policies for timed reachability objectives. Two case studies show the feasibility and scalability of the algorithms.
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