Skip to main content
SpringerLink
Log in

A Linear-Time Solution to the Knapsack Problem Using P Systems with Active Membranes

  • Conference paper
Membrane Computing (WMC 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2933))

Included in the following conference series:

Abstract

Up to now, P systems dealing with numerical problems have been rarely considered in the literature. In this paper we present an effective solution to the Knapsack problem using a family of deterministic P systems with active membranes using 2-division. We show that the number of steps of any computation is of linear order, but polynomial time is required for pre-computing resources.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Cordón-Franco, A., Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J., Sancho-Caparrini, F.: A Prolog simulator for deterministic P systems with active membranes. New Generation Computing (to appear)

    Google Scholar 

  2. Păun, G.: Computing with membranes. Journal of Computer and System Sciences 61(1), 108–143 (2000)

    Article  MATH  MathSciNet  Google Scholar 

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

    MATH  Google Scholar 

  4. Păun, G., Rozenberg, G.: A guide to membrane computing. Theoretical Computer Sciences 287, 73–100 (2002)

    Article  MATH  Google Scholar 

  5. Pérez-Jiménez, M.J., Riscos-Núñez, A.: Solving the Subset-Sum problem by active membranes. New Generation Computing (to appear)

    Google Scholar 

  6. Pérez-Jiménez, M.J., Romero-Jiménez, A., Sancho-Caparrini, F.: Teoría de la Complejidad en modelos de computation celular con membranes, Editorial Kronos, Sevilla (2002)

    Google Scholar 

  7. Pérez-Jiménez, M.J., Romero-Jiménez, A., Sancho-Caparrini, F.: A polynomial complexity class in P systems using membrane division. In: Proceedings of the 5th Workshop on Descriptional Complexity of Formal Systems, Budapest, Hungary

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dpto. de Ciencias de la Computación e Inteligencia Artificial, E.T.S. Ingeniería Informática, Universidad de Sevilla, Avda. Reina Mercedes s/n, 41012, Sevilla, España

    Mario J. Pérez-Jiménez & Agustin Riscos-Núñez

Authors
  1. Mario J. Pérez-Jiménez
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Agustin Riscos-Núñez
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Research Group in Mathematical Linguistics, Rovira i Virgili University, Pça, Imperial Tarraco 1, 43005, Tarragona, Spain

    Carlos Martín-Vide

  2. Complex Systems and Artificial Intelligence Research Center, University of Milan–Bicocca, Italy

    Giancarlo Mauri

  3. Institute of Mathematics of the Romanian Academy, PO Box 1-764, 014700, Bucureşti, Romania

    Gheorghe Păun

  4. Leiden Center of Advanced Computer Science (LIACS), Leiden University, Niels Bohrweg 1, 2333, Leiden, CA, The Netherlands

    Grzegorz Rozenberg

  5. Turku Centre for Computer Science (TUCS), Leminkäisenkatu 14, 20520, Turku, Finland

    Arto Salomaa

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Pérez-Jiménez, M.J., Riscos-Núñez, A. (2004). A Linear-Time Solution to the Knapsack Problem Using P Systems with Active Membranes. In: Martín-Vide, C., Mauri, G., Păun, G., Rozenberg, G., Salomaa, A. (eds) Membrane Computing. WMC 2003. Lecture Notes in Computer Science, vol 2933. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24619-0_19

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-24619-0_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20895-2

  • Online ISBN: 978-3-540-24619-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation