Conservative computations in energy–based p systems

  • Authors:
  • Alberto Leporati;Claudio Zandron;Giancarlo Mauri

  • Affiliations:
  • Dipartimento di Informatica, Sistemistica e Comunicazione, Università degli Studi di Milano – Bicocca, Milano, Italy;Dipartimento di Informatica, Sistemistica e Comunicazione, Università degli Studi di Milano – Bicocca, Milano, Italy;Dipartimento di Informatica, Sistemistica e Comunicazione, Università degli Studi di Milano – Bicocca, Milano, Italy

  • Venue:
  • WMC'04 Proceedings of the 5th international conference on Membrane Computing
  • Year:
  • 2004

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Abstract

Energy–based P systems have been recently introduced as P systems in which the amount of energy consumed and/or manipulated during computations is taken into account. In this paper we consider conservative computations performed by energy–based P systems, that is, computations for which the amount of energy entering the system is the same as the amount of energy leaving it. We show that conservative computations naturally allow to define an NP–hard optimization problem, here referred to as Min Storage, and a corresponding NP–complete decision problem, ConsComp. Finally, we present a polynomial time 2–approximation algorithm for Min Storage.