Skip to main content

Leakage Notion

  • Conference paper
  • 81 Accesses

Part of the book series: Informatik-Fachberichte ((INFORMATIK,volume 52))

Abstract

The leakage notion was introduced in [5], and its symetric notion in [4] or [6].The aim of this work is to obtain a general tool in order to analyse liveness and boundedness in Petri nets, independently of the initial marking. Our results submitted striking analogies with other results based upon linear algebra. In this paper, after submitting some notations, we introduce the notion of weak leakage from which we deduce a necessary condition for a Petri net to be live. This condition is independent of the initial marking, implies the two first ones, and like the two first ones’shows a symetric notion.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. F. Commoner: “Deadlocks in Petri nets.” CA-7206–2311 Applied Data Research. Wakefield Mass. June 1972.

    Google Scholar 

  2. M. Hack “Analysis of production schemata by Petri nets.” M.S. Thesis. Dept. Electrical Engineering MAC-TR 94. Project MAC, M.I.T. Cambridge Mas. Sept. 1972.

    Google Scholar 

  3. M. Latteux “Synchronisation de processus”. R.A.I.R.O. Informatique. Vol. 14, N° 2, 1980, p. 103–135.

    Google Scholar 

  4. G Memmi “Fuites et semi-flots dans les réseaux de Pétri”. Thèse de docteur-ingénieur. U. Pierre et Marie Curie - PARIS, Dec. 1978.

    Google Scholar 

  5. G. Memmi: “Fuites et graphes à choix non imposé dans les réseaux de Pétri”. 3ème colloque international sur la programmation - Dunod - Paris - March 1978.

    Google Scholar 

  6. G. Memmi: „Notion de dualité et de symétrie dans les réseaux de Petri“. Proc. of the international symp. on Semantics of concurrent computation. Evian. France, 1979. L.N.C.S. 70 Springer-Verlag 1979, p. 91–108.

    Google Scholar 

  7. C. Ramchandani: “Analysis of asynchronous concurrent systems by timed Petri Nets”. Ph. d. Thesis. Project MAC. MAC-TR-120. Cambridge Mass. February 1974.

    Google Scholar 

  8. J. Sifakis: Structural properties of Petri nets. Proc. of the 7th symposium on M.F.C.S. Zakopane, Poland 1978, L.N.C.S. 64 Springer-Verlag 1978, p. 474–483.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Memmi, G. (1982). Leakage Notion. In: Girault, C., Reisig, W. (eds) Application and Theory of Petri Nets. Informatik-Fachberichte, vol 52. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-68353-4_29

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-68353-4_29

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11189-4

  • Online ISBN: 978-3-642-68353-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics