4.5 Article Proceedings Paper

Solving multidimensional 0-1 knapsack problem by P systems with input and active membranes

Journal

JOURNAL OF PARALLEL AND DISTRIBUTED COMPUTING
Volume 65, Issue 12, Pages 1578-1584

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jpdc.2005.05.018

Keywords

membrane computing; P system; NP-complete problem; multidimensional 0-1 knapsack problem; 0-1 integer programming problem

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Membrane systems are biologically motivated theoretical models of distributed and parallel computing. In this paper, we present a membrane algorithm to solve multidimensional 0-1 knapsack problem in linear time by recognizer P systems with input and with active membranes using 2-division. This algorithm can also be modified to solve general 0-1 integer programming problem. (c) 2005 Elsevier Inc. All rights reserved.

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