Optimal infinite scheduling for multi-priced timed automata

Patricia Bouyer*, Ed Brinksma, Kim G. Larsen

*Corresponding author for this work

    Research output: Contribution to journalConference articleAcademicpeer-review

    55 Citations (Scopus)
    52 Downloads (Pure)


    This paper is concerned with the derivation of infinite schedules for timed automata that are in some sense optimal. To cover a wide class of optimality criteria we start out by introducing an extension of the (priced) timed automata model that includes both costs and rewards as separate modelling features. A precise definition is then given of what constitutes optimal infinite behaviours for this class of models. We subsequently show that the derivation of optimal non-terminating schedules for such double-priced timed automata is computable. This is done by a reduction of the problem to the determination of optimal mean-cycles in finite graphs with weighted edges. This reduction is obtained by introducing the so-called corner-point abstraction, a powerful abstraction technique of which we show that it preserves optimal schedules.
    Original languageEnglish
    Pages (from-to)3-23
    Number of pages21
    JournalFormal methods in system design
    Issue number1
    Publication statusPublished - Feb 2008
    Event7th International Workshop on Hybrid Systems: Computation and Control, HSCC 2004 - Philadelphia, United States
    Duration: 25 Mar 200427 Mar 2004
    Conference number: 7


    • Priced timed automata
    • Optimal mean-payoff
    • n/a OA procedure


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