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Minimum-Cost Reachability for Priced Timed Automata

Fulltext:


Authors:

Gerd Berhmann , Ansgar Fehnker , Thomas Hune , Kim Guldstrand Larsen , Paul Pettersson, Judi Romijn , Frits Vaandrager

Publication Type:

Conference/Workshop Paper

Venue:

4th International Workwhop on Hybrid Systems: Computation and Control


Abstract

This paper introduces the model of linearly priced timed au- tomata as an extension of timed automata with prices on both transitions and locations. For this model we consider the minimum-cost reachabil- ity problem: i.e. given a linearly priced timed automaton and a target state, determine the minimum cost of executions from the initial state to the target state. This problem generalizes the minimum-time reachabil- ity problem for ordinary timed automata to more general optimization problems like static scheduling problems. We prove decidability of this problem by o ering an algorithmic solution, which isbased on a com- bination of branch-and-bound techniques and a new notion of priced regions. The latter allows symbolic representation and manipulation of reachable states together with the cost of reaching them.

Bibtex

@inproceedings{Berhmann2407,
author = {Gerd Berhmann and Ansgar Fehnker and Thomas Hune and Kim Guldstrand Larsen and Paul Pettersson and Judi Romijn and Frits Vaandrager},
title = {Minimum-Cost Reachability for Priced Timed Automata},
editor = {Maria Domenica Di Benedetto and Alberto Sangiovanni-Vincentelli},
pages = {147--161},
month = {March},
year = {2001},
booktitle = {4th International Workwhop on Hybrid Systems: Computation and Control},
url = {http://www.es.mdu.se/publications/2407-}
}