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As Cheap as Possible: Effcient Cost-Optimal Reachability for Priced Timed Automata

Kim Larsen6, 7, Gerd Behrmann6, Ed Brinksma7, Ansgar Fehnker9, Thomas Hune8, Paul Pettersson10 and Judi Romijn9

(6)  Basic Research in Computer Science, Aalborg University, Aalborg
(7)  Department of Computer Systems, University of Twente, UK
(8)  Basic Research in Computer Science, Aarhus University, Aarhus
(9)  University of Nijmegen, Computing Science Institute, Nijmegen
(10)  Department of Information Technology, Uppsala University, Uppsala
Abstract
In this paper we present an algorithm for efficiently computing optimal cost of reaching a goal state in the model of Linearly Priced Timed Automata (LPTA). The central contribution of this paper is a priced extension of so-called zones. This, together with a notion of facets of a zone, allows the entire machinery for symbolic reachability for timed automata in terms of zones to be lifted to cost-optimal reachability using priced zones. We report on experiments with a cost-optimizing extension of Uppaal on a number of examples.

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