Abstract
Membrane Computing is a branch of Natural Computing which starts from the assumption that the processes taking place in the compartmental structure of a living cell can be interpreted as computations. In this framework, the solution of NP problems is obtained by generating an exponential amount on workspace in polynomial time and using parallelism to check simultaneously all the candidates to solution. We present a solution to the Subset Sum problem for P systems where new membranes are generated from objects.
Keywords
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J., Riscos-Núñez, A.: Towards a programming language in cellular computing. In: Proceedings of the 11th Workshop on Logic, Language, Information and Computation (WoLLIC 2004), July 19-22, 1-16 Campus de Univ. Paris 12, Paris (2004)
Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J., Riscos-Núñez, A.: A fast P system for finding a balanced 2-partition. Soft Computing (in press)
Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J., Romero-Campero, F.J.: Solving SAT with Membrane Creation. Accepted paper for CiE 2005
Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J., Romero-Campero, F.J.: A linear solution for QSAT with Membrane Creation. Submitted (2005)
Luisi, P.L.: The Chemical Implementation of Autopoiesis. In: Fleishaker, G.R., et al. (eds.) Self-Production of Supramolecular Structures. Kluwer, Dordrecht (1994)
Pérez-Jiménez, M.J., Riscos-Núñez, A.: Solving the Subset-Sum problem by active membranes. New Generation Computing (in press)
Jesús Pérez-Jímenez, M., Riscos-Núñez, A.: 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.) WMC 2003. LNCS, vol. 2933, pp. 250–268. Springer, Heidelberg (2004)
Pérez-Jiménez, M.J., Romero-Campero, F.J.: Solving the BIN PACKING problem by recognizer P systems with active membranes. In: Păun, G., Riscos, A., Romero, F. (eds.) Proceedings of the Second Brainstorming Week on Membrane Computing, Report RGNC 01/04. University of Seville, pp. 414–430 (2004)
Pérez-Jiménez, M.J., Romero-Jiménez, A., Sancho-Caparrini, F.: A polynomial complexity class in P systems using membrane division. In: Csuhaj-Varjú, E., Kintala, C., Wotschke, D., Vaszyl, G.(eds.) Proceedings of the 5th Workshop on Descriptional Complexity of Formal Systems, DCFS 2003, pp. 284–294 (2003)
Păun, A., Păun, G.: The power of communication: P systems with symport/antiport. New Generation Computing 20(3), 295–305 (2002)
Păun, G.: Computing with membranes. Journal of Computer and System Sciences 61(1), 108–143 (2000)
Păun, G., Pérez-Jiménez, M.J.: Recent computing models inspired from biology: DNA and membrane computing. Theoria 18(46), 72–84 (2003)
Păun, G.: Further Open Problems in Membrane Computing. In: Păun, G., Riscos, A., Romero, A., Sancho, F. (eds.) Proceedings of the Second Brainstorming Week on Membrane Computing, Report RGNC 01/04. University of Seville, pp. 354–365 (2004)
ISI web page, http://esi-topics.com/erf/october2003.html
P systems web page, http://psystems.disco.unimib.it/
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J., Romero-Campero, F.J. (2005). A Linear Solution of Subset Sum Problem by Using Membrane Creation. In: Mira, J., Álvarez, J.R. (eds) Mechanisms, Symbols, and Models Underlying Cognition. IWINAC 2005. Lecture Notes in Computer Science, vol 3561. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11499220_27
Download citation
DOI: https://doi.org/10.1007/11499220_27
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-26298-5
Online ISBN: 978-3-540-31672-5
eBook Packages: Computer ScienceComputer Science (R0)