Skip to main content

Producer/Consumer in Membrane Systems and Petri Nets

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4497))

Abstract

The paper investigates different relationships between membrane systems and Petri nets by focusing on modelling variants of the producer/consumer paradigm. Two models of producer/consumer systems based on membrane systems are described, and it is shown how to translate these models into equivalent Petri nets with a corresponding semantics. It is then observed a direct correspondence between the Petri nets representation of the proposed models and standard solutions based on Petri nets already present in the literature.

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.

References

  1. Petri Nets World - Petri Nets Tools Database: http://www.informatik.uni-hamburg.de/TGI/PetriNets/tools/quick.html

  2. The P Systems Web Page: http://psystems.disco.unimib.it

  3. Bernardini, F., Manca, V.: P systems with boundary rules. In: Păun, G., Rozenberg, G., Salomaa, A., Zandron, C. (eds.) WMC-CdeA 02. LNCS, vol. 2597, pp. 107–118. Springer, Heidelberg (2003)

    Google Scholar 

  4. Bernardini, F., Romero-Campero, F., Gheorghe, M., Pérez-Jiménez, M.: A Modelling Approach Based on P Systems with Bounded Parallelism. In: Hoogeboom, H., Păun, Gh., Rozenberg, G., Salomaa, A. (eds.) WMC 2006. LNCS, vol. 4361, pp. 49–65. Springer, Heidelberg (2007)

    Google Scholar 

  5. Dal Zilio, S., Formenti, E.: On the Dynamics of PB Systems: A Petri Net View. In: Martín-Vide, C., Mauri, G., Păun, G., Rozenberg, G., Salomaa, A. (eds.) WMC 2003, LNCS, vol. 2933, pp. 153–167. Springer, Heidelberg (2004)

    Google Scholar 

  6. Kleijn, J., Koutny, M.: Synchrony and Asynchrony in Membrane Systems. In: Hoogeboom, H., Păun, Gh., Rozenberg, G., Salomaa, A. (eds.) WMC 2006. LNCS, vol. 4361, pp. 66–85. Springer, Heidelberg (2007)

    Google Scholar 

  7. Kleijn, J., Koutny, M., Rozenberg, G.: Towards a Petri Net Semantics for Membrane Systems. In: Freund, R., Păun, G., Rozenberg, G., Salomaa, A. (eds.) WMC 2005. LNCS, vol. 3850, pp. 292–309. Springer, Heidelberg (2006)

    Google Scholar 

  8. Păun, G.: Membrane Computing. An Introduction. Springer, Berlin (2002)

    Book  MATH  Google Scholar 

  9. Reisig, W.: Elements of Distributed Algorithms. In: Modelling and Analysis with Petri Nets, Springer, Heidelberg (1998)

    Google Scholar 

  10. Verlan, S., Bernardini, F., Gheorghe, M., Margenstern, M.: Generalized Communicating P Systems. (Submitted 2007)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Bernardini, F., Gheorghe, M., Margenstern, M., Verlan, S. (2007). Producer/Consumer in Membrane Systems and Petri Nets. In: Cooper, S.B., Löwe, B., Sorbi, A. (eds) Computation and Logic in the Real World. CiE 2007. Lecture Notes in Computer Science, vol 4497. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73001-9_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-73001-9_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73000-2

  • Online ISBN: 978-3-540-73001-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics