Title
Concavely-Priced Probabilistic Timed Automata
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 Jurdziński and Trivedi to analyse properties of concavely-priced (non-probabilistic) timed automata.
Year
DOI
Venue
2009
10.1007/978-3-642-04081-8_28
CONCUR
Keywords
Field
DocType
linearly-priced automaton,concavely-priced probabilistic timed automata,expected price problem,initial state,boundary region graph,average price problem,concavely-priced probabilistic,previous work,arbitrary initial state,expected reachability
Discrete mathematics,Quantum finite automata,Automata theory,Mobile automaton,Computer science,Automaton,Reachability,Theoretical computer science,Timed automaton,Probabilistic logic,ω-automaton
Conference
Volume
ISSN
Citations 
5710
0302-9743
8
PageRank 
References 
Authors
0.77
19
4
Name
Order
Citations
PageRank
Marcin Jurdziński132917.40
Marta Z. Kwiatkowska26118322.21
Gethin Norman34163193.68
Ashutosh Trivedi414928.08