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A Limit Semantics for Timed PN

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Discrete Event Systems

Part of the book series: The Springer International Series in Engineering and Computer Science ((SECS,volume 569))

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Abstract

In this paper, we investigate conditions for non-ambiguous behavior of a timed Petri net which also contains immediate transitions. Non-ambiguity here means that the net behavior is uniquely determined by some given set of control parameters. For this, we study the limit policy in which immediate transitions are treated as (“limits” of) timed transitions whose durations tend uniformly to 0, yielding a unique semantics; we give conditions under which this limit semantics exists.

Supported by the ED TMR project ALAPEDES, Contract ERB-FMRX-CT-96-0074

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References

  1. F. Baccelli, S. Foss, B. Gaujal. Free-Choice Petri Nets — An Algebraic Approach. IEEE Tr. Aut. Contr., 41(12):1751–1778, 1996.

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  2. F. Bause and P.S. Kritzinger, Stochastic Petri Nets, An introduction to the Theory. Verlag Vieweg, 1996.

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  3. B. Gaujal and S. Haar. Non-ambiguous Petri Nets. Rapport de Recherche 3691, INRIA, U.R.Lorraine, May 1999.

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  4. B. Gaujal, A. Jean-Marie and G. Siegel. Non-ambiguous Petri nets and their application to the modeling of ATM switches. WODES, Cagliari, Italy, 1998.

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  5. R. German and C. Lindemann. Analysis of Stochastic Petri Nets by the Method of Supplementary Variables. Performance Evaluation, Vol. 20, pp. 317–335, 1994.

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© 2000 Springer Science+Business Media New York

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Gaujal, B., Haar, S. (2000). A Limit Semantics for Timed PN. In: Boel, R., Stremersch, G. (eds) Discrete Event Systems. The Springer International Series in Engineering and Computer Science, vol 569. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4493-7_22

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  • DOI: https://doi.org/10.1007/978-1-4615-4493-7_22

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7025-3

  • Online ISBN: 978-1-4615-4493-7

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