Non-regenerative stochastic Petri nets: Modeling and analysis

Qun Jin*, Yoneo Yano, Yoshio Sugasawa

*この研究の対応する著者

研究成果: Article査読

1 被引用数 (Scopus)

抄録

We develop a new class of stochastic Petri net: non-regenerative stochastic Petri net (NRSPN), which allows the firing time of its transitions with arbitrary distributions, and can automatically generate a bounded reachability graph that is equivalent to a generalization of the Markov renewal process in which some of the states may not constitute regeneration points. Thus, it can model and analyze behavior of a system whose states include some non-regeneration points. We show how to model a system by the NRSPN, and how to obtain numerical solutions for the NRSPN model. The probabilistic behavior of the modeled system can be clarified with the reliability measures such as the steady-state probability, the expected numbers of visits to each state per unit time, availability, unavailability and mean time between system failure. Finally, to demonstrate the modeling ability and analysis power of the NRSPN model, we present an example for a fault-tolerant system using the NRSPN and give numerical results for specific distributions.

本文言語English
ページ(範囲)1781-1790
ページ数10
ジャーナルIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
E79-A
11
出版ステータスPublished - 1996 1 1
外部発表はい

ASJC Scopus subject areas

  • 信号処理
  • コンピュータ グラフィックスおよびコンピュータ支援設計
  • 電子工学および電気工学
  • 応用数学

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