CONCAVELY−PRICED PROBABILISTIC TIMED AUTOMATA
Marcin Jurdzinski‚ Marta Z. Kwiatkowska‚ Gethin Norman and Ashutosh Trivedi
Abstract
Concavely-priced probabilistic timed automata, an extension of probabilistic timed automata, are introduced. In this paper we consider expected reachability, discounted, and average price problems for concavely-priced probabilistic timed automata for arbitrary initial states. We prove that these problems are EXPTIME-complete for probabilistic timed automata with two or more clocks and PTIME-complete for automata with one clock. Previous work on expected price problems for probabilistic timed automata was restricted to expected reachability for linearly-priced automata and integer valued initial states. This work uses the boundary region graph introduced by Jurdzi�nski and Trivedi to analyse properties of concavely-priced (non-probabilistic) timed automata.
Details
| Institution |
OUCL |
| Number |
RR−09−06 |
| Pages |
26 |
| Year |
2009 |
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