Timed automata with asynchronous processes: Schedulability and decidability

  • Elena Fersman
  • , Paul Pettersson
  • , Wang Yi

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

88 Scopus citations

Abstract

In this paper, we exend timed automata with asynchronous processes i.e. tasks triggered by events as a model for real-time systems. The model is expressive enough to describe concurrency and synchronization, and real time tasks which may be periodic, sporadic, preemptive or non-preemptive. We generalize the classic notion of schedulability to timed automata. An automaton is schedulable if there exists a scheduling strategy such that all possible sequences of events accepted by the automaton are schedulable in the sense that all associated tasks can be computed within their deadlines. We believe that the model may serve as a bridge between scheduling theory and automata-theoretic approaches to system modeling and analysis. Our main result is that the schedulability checking problem is decidable. To our knowledge, this is the first general decidability result on dense-time models for real time scheduling without assuming that preemptions occur only at integer time points. The proof is based on a decidable class of updatable automata: timed automata with subtraction in which clocks may be updated by subtractions within a bounded zone. The crucial observation is that the schedulabil-ity checking problem can be encoded as a reachability problem for such automata. Based on the proof, we have developed a symbolic technique and a prototype tool for schedulability analysis.

Original languageEnglish
Title of host publicationTools and Algorithms for the Construction and Analysis of Systems - 8th Int. Conf., TACAS 2002, Held as Part of the Joint European Conf. on Theory and Practice of Software, ETAPS 2002, Proc.
EditorsJoost-Pieter Katoen, Perdita Stevens
PublisherSpringer Verlag
Pages67-82
Number of pages16
ISBN (Print)3540434194, 9783540434191
DOIs
StatePublished - 2002
Externally publishedYes
Event8th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, Held as Part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2002, Proceedings - Grenoble, France
Duration: 8 Apr 200212 Apr 2002

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume2280 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference8th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, Held as Part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2002, Proceedings
Country/TerritoryFrance
CityGrenoble
Period8/04/0212/04/02

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