• DocumentCode
    746462
  • Title

    New NP-Complete Problems in Performance Evaluation of Concurrent Systems Using Petri Nets

  • Author

    Magott, Jan

  • Author_Institution
    Institute of Engineering Cybernetics, Technical University of Wroclaw
  • Issue
    5
  • fYear
    1987
  • fDate
    5/1/1987 12:00:00 AM
  • Firstpage
    578
  • Lastpage
    581
  • Abstract
    Timed Petri nets are useful in performance evaluation of concurrent systems. The maximum computation rate is achieved for minimal cycle time of timed Petri net. It is known that minimal cycle time problem for P-invariant Petri nets is NP-complete. In this paper we prove that the minimal cycle time problem, for non-P-invariant Petri nets and for a small subclass of P-invariant Petri nets called free-choice nets having live and safe marking, is NP-complete.
  • Keywords
    Computational complexity; free-choice net; minimal cycle time; non-P-invariant Petri net; performance evaluation; timed Petri net; Cybernetics; Data analysis; Data flow computing; Fires; Petri nets; Random variables; Time factors; Time measurement; Computational complexity; free-choice net; minimal cycle time; non-P-invariant Petri net; performance evaluation; timed Petri net;
  • fLanguage
    English
  • Journal_Title
    Software Engineering, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-5589
  • Type

    jour

  • DOI
    10.1109/TSE.1987.233462
  • Filename
    1702257