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.
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Leporati, A., Zandron, C., Mauri, G. (2005). Conservative Computations in Energy–Based P Systems. In: Mauri, G., Păun, G., Pérez-Jiménez, M.J., Rozenberg, G., Salomaa, A. (eds) Membrane Computing. WMC 2004. Lecture Notes in Computer Science, vol 3365. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31837-8_22
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DOI: https://doi.org/10.1007/978-3-540-31837-8_22
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