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Solving the Subset-Sum problem by P systems with active membranes

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Abstract

We present the first membrance computing solution to the Subset-Sum problem using a family of deterministic P systems with active membranes. We do not use priority among rules, membrane dissolution nor cooperation; it suffices to control the electrical charges of the membranes and to introduce some counters. The number of steps of any computation is of the linear order (but it is necessary a polynomial-time of precomputed resources).

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Authors and Affiliations

  1. Dpto. 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 & Agustín Riscos Núñez

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  1. Mario J. Pérez Jiménez
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  2. Agustín Riscos Núñez
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Correspondence to Mario J. Pérez Jiménez.

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Mario J. Pérez Jiménez: He is a Titular Professor of Department of Computer Science and Artificial Intelligence at University of Seville, where he is the head of the Research Group on Natural Computing. He has published 8 books of Mathematics and Computation, and more than 100 scientific articles in prestigious scientific journals. He is a member of European Molecular Computing Consortium, and has been an independent expert to the evaluation of NEST (New and Emergent Science and Technology) proposals under the Sixth Framework Programme of the European Community.

Agustín Riscos Núñez: He holds a research fellowship at the Departament of Computer Science and Artificial Intelligence area in the University of Seville since november 2001. He is a member of the Research Group on Natural Computing and also of European Molecular Computing Consortium. His main interests are complexity theory, membrane computing and other areas of Natural Computing, both at the theoretical level and the level of computer simulation. In last year he has actively collaborated with other members of the Research Group to several International Conferences and publishing several papers in international journals.

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Jiménez, M.J.P., Núñez, A.R. Solving the Subset-Sum problem by P systems with active membranes. New Gener Comput 23, 339–356 (2005). https://doi.org/10.1007/BF03037637

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  • DOI: https://doi.org/10.1007/BF03037637

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