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Liveness in bounded Petri nets which are covered by T-invariants

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Application and Theory of Petri Nets 1994 (ICATPN 1994)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 815))

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Abstract

In this paper a criterion is introduced that is sufficient for the liveness in Petri nets which are bounded and covered by non-negative T-invariants.

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References

  1. Bernd Baumgarten. Petri-Netze: Grundlagen und Anwendungen. BI-Wiss.-Verl., Mannheim; Wien; Zürich, 1990. (in German).

    Google Scholar 

  2. J. Campos, G. Chiola, and M. Silva. Properties and performance bounds for closed free choice synchronized monoclass queueing networks. IEEE Transactions on Automatic Control, 36(12), December 1991.

    Google Scholar 

  3. Jörg Desel. Regular marked petri nets. To appear in: Graph theoretic Concepts in Computer Science, 1993.

    Google Scholar 

  4. Javier Esparza and Manuel Silva. A polynomial-time algorithm to decide liveness of bounded free choice nets. Theoretical Computer Science, (102):185–205, 1992.

    Google Scholar 

  5. M. Hack. Extended state-machine allocatable nets (esma), an extension of free choice petri net results. Computation Structures Group Memo 78-1, MIT, Project MAC, 1978.

    Google Scholar 

  6. M. Jantzen and R. Valk. Formal properties of place/transition nets. Net Theory and Application, LNCS 84:165–212, 1980.

    Google Scholar 

  7. W.E. Kluge and K. Lautenbach. The orderly resolution of memory access conflicts among competing channel processes. IEEE Transactions of Computers, C-31(3):194–207, 1982.

    Google Scholar 

  8. K. Lautenbach. Exakte bedingungen der lebendigkeit für eine klasse von petrinetzen. Berichte der GMD 82, GMD, Bonn, 1973. (in German).

    Google Scholar 

  9. K. Lautenbach. Ein kombinatorischer ansatz zur beschreibung und erreichung von fairness in scheduling-problemen. Applied Computer Science, 8:228–250, 1977. (in German).

    Google Scholar 

  10. Kurt Lautenbach. Linear algebraic calculation of deadlocks and traps. In Voss, Genrich, and Rozenberg, editors, Concurrency and Nets, pages 315–336. Springer Verlag, 1987.

    Google Scholar 

  11. Wolfgang Reisig. Petri nets. Springer Verlag, 2nd edition, 1991.

    Google Scholar 

  12. H. Peter Starke. Analyse von Petri-Netz-Modellen. Teubner, 1990. (in German).

    Google Scholar 

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Robert Valette

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© 1994 Springer-Verlag Berlin Heidelberg

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Lautenbach, K., Ridder, H. (1994). Liveness in bounded Petri nets which are covered by T-invariants. In: Valette, R. (eds) Application and Theory of Petri Nets 1994. ICATPN 1994. Lecture Notes in Computer Science, vol 815. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58152-9_20

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  • DOI: https://doi.org/10.1007/3-540-58152-9_20

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58152-9

  • Online ISBN: 978-3-540-48462-2

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