• DocumentCode
    2637918
  • Title

    The cost of eliminating vanishing markings from generalized stochastic Petri nets

  • Author

    Blakemore, Alex

  • Author_Institution
    Maryland Univ., College Park, MD, USA
  • fYear
    1989
  • fDate
    11-13 Dec 1989
  • Firstpage
    85
  • Lastpage
    92
  • Abstract
    A generalized stochastic Petri net can be analyzed by studying the reachability graph of feasible markings. An examination is made of the problem of eliminating vanishing states during the solution of a generalized stochastic Petri net. The asymptotic complexity of a matrix-based algorithm is shown to grow quadratically with the number of tangible states. A simpler graph-based algorithm that executes much more rapidly on typical models is examined. Some alternatives to elimination are discussed
  • Keywords
    Petri nets; computational complexity; stochastic processes; asymptotic complexity; feasible markings; generalized stochastic Petri nets; graph-based algorithm; matrix-based algorithm; reachability graph; vanishing markings; Costs; Educational institutions; Petri nets; Power system modeling; Productivity; State-space methods; Steady-state; Stochastic processes; Stochastic systems; Terminology;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Petri Nets and Performance Models, 1989. PNPM89., Proceedings of the Third International Workshop on
  • Conference_Location
    Kyoto
  • Type

    conf

  • DOI
    10.1109/PNPM.1989.68542
  • Filename
    68542