Abstract
Numerical problems are not very frequently addressed in the P systems literature. In this paper we present an effective solution to the 2-Partition problem via a family of deterministic P systems with active membranes using 2-division. The design of this solution is a sequel of several previous works on other problems, mainly on the Subset-Sum and the Knapsack problems. Several improvements are introduced and explained.
Similar content being viewed by others
References
Alhazov A, Freund R, Păun Gh (2004) P systems with active membranes and two polarizations. 7:20–36
Cordón-Franco A, Gutiérrez-Naranjo MA, Pérez-Jiménez MJ, Sancho-Caparrini F (in press) A Prolog simulator for deterministic P systems with active membranes. New Generation Computing
Gutiérrez-Naranjo MA, Pérez-Jiménez MJ, Riscos-Núñez A (2004) Towards a programming language in cellular computing. 7: 247–257
Păun Gh (2000) Computing with membranes. Journal of Computer and System Sciences 61(1):108–143
Păun Gh (2001) P Systems with active membranes: Attacking NP-complete problems. J Automata, Languages and Combinatorics 6(1): 75–90
Păun Gh (2002) Membrane computing. An introduction. Springer, Berlin Heidelberg New York
Păun Gh, Riscos-Núñez A, Romero-Jiménez A, Sancho-Caparrini A (eds) (2004) Second Brainstorming Week on Membrane Computing, Sevilla, February 2004. TR 01/2004, Research Group on Natural Computing, Sevilla University
Păun Gh, Rozenberg G (2002) A guide to membrane computing. Theoretical Computer Science 287: 73–100
Pérez-Jiménez MJ, Riscos-Núñez A (in press) Solving the Subset-Sum problem by active membranes. New Generation Computing
Pérez-Jiménez MJ, Riscos-Núñez A (2004) A linear solution for the Knapsack problem using active membranes. In: Martín-Vide C, Mauri G, Păun Gh, Rozenberg G, Salomaa A (eds) (2004) Membrane Computing. International Workshop WMC2003, Tarragona, July 2003, Revised papers. Lecture Notes in Computer Science 2933, Springer, Berlin, 250–268
Pérez-Jiménez MJ, Romero-Jiménez A, Sancho-Caparrini F (2003) A polynomial complexity class in P systems using membrane division. In: Csuhaj-Varjú E, Kintala C, Wotschke D, Vaszil G (eds) (2003) Proceedings of the Fifth International Workshop on Descriptional Complexity of Formal Systems, Budapest, Hungary, July 12–14, 284–294
Zandron C (2001) A model for molecular computing: Membrane systems. Ph.D. Thesis, Università degli Studi di Milano.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Gutiérrez-Naranjo, M., Pérez-Jiménez, M. & Riscos-Núñez, A. A fast P system for finding a balanced 2-partition. Soft Comput 9, 673–678 (2005). https://doi.org/10.1007/s00500-004-0397-0
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00500-004-0397-0