• DocumentCode
    3526161
  • Title

    Time domain analysis of NMSPN with PRI transitions

  • Author

    Horváth, András ; Telek, Miklós

  • Author_Institution
    Dipt. di Inf., Torino Univ., Italy
  • fYear
    2001
  • fDate
    2001
  • Firstpage
    155
  • Lastpage
    164
  • Abstract
    The time domain analysis of non-Markovian stochastic Petri nets (NMSPNs) with preemptive repeat identical (pri) type transitions is considered in this paper. The set of time domain equations describing the evolution of the marking process is provided. The relation of the time domain and the formerly available transform domain description is discussed. Based on the time domain description of the process a simple numerical procedure is provided to analyze the transient behavior. Two examples are calculated to illustrate the proposed numerical method
  • Keywords
    Petri nets; differential equations; stochastic processes; time-domain analysis; PRI transitions; differential equations; marking process; nonMarkovian stochastic Petri nets; numerical method; preemptive repeat identical transitions; time domain analysis; transform domain description; transient behavior; Laplace equations; Petri nets; Queueing analysis; Resumes; Steady-state; Stochastic processes; Terminology; Time domain analysis; Transforms; Transient analysis;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Petri Nets and Performance Models, 2001. Proceedings. 9th International Workshop on
  • Conference_Location
    Aachen
  • ISSN
    1063-6714
  • Print_ISBN
    0-7695-1248-8
  • Type

    conf

  • DOI
    10.1109/PNPM.2001.953365
  • Filename
    953365