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Region-Based Analysis of Hybrid Petri Nets with a Single General One-Shot Transition

  • Hamed Ghasemieh
  • Anne Remke
  • Boudewijn Haverkort
  • Marco Gribaudo
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7595)

Abstract

Recently, hybrid Petri nets with a single general one-shot transition (HPnGs) have been introduced together with an algorithm to analyze their underlying state space using a conditioning/deconditioning approach. In this paper we propose a considerably more efficient algorithm for analysing HPnGs. The proposed algorithm maps the underlying state-space onto a plane for all possible firing times of the general transition s and for all possible systems times t. The key idea of the proposed method is that instead of dealing with infinitely many points in the t-s-plane, we can partition the state space into several regions, such that all points inside one region are associated with the same system state. To compute the probability to be in a specific system state at time τ, it suffices to find all regions intersecting the line t = τ and decondition the firing time over the intersections. This partitioning results in a considerable speed-up and provides more accurate results. A scalable case study illustrates the efficiency gain with respect to the previous algorithm.

Keywords

System State General Transition Occurrence Time Deterministic Region Time Automaton 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Hamed Ghasemieh
    • 1
  • Anne Remke
    • 1
  • Boudewijn Haverkort
    • 1
    • 2
  • Marco Gribaudo
    • 3
  1. 1.Design and Analysis of Communication SystemsUniversity of TwenteThe Netherlands
  2. 2.Embedded System InstituteEindhovenThe Netherlands
  3. 3.Dipartimento Di Elettronica E InformazioneIngegneria dell’InformazioneItaly

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