Title
An Asynchronous P System Using Branch and Bound for the Satisfiability Problem
Abstract
Membrane computing, which is a computational model based on cell activity, has considerable attention as one of new paradigms of computations. In the general membrane computing, computationally hard problems have been solved in a polynomial number of steps using an exponential number of membranes. However, reduction of the number of membranes must be considered to make P system more realistic model. In the paper, we propose an asynchronous P system using branch and bound, which is a well known optimization technique, to reduce the number of membranes. The proposed P system solves the satisfiability problem (SAT) with n variables and m clauses, and works in O(m2 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">n</sup> ) sequential steps or O(mn) parallel steps. The number of membranes used in the proposed P system is evaluated using a computational simulation. The experimental result shows the effectiveness of the proposed P system.
Year
DOI
Venue
2017
10.1109/CANDAR.2017.71
2017 Fifth International Symposium on Computing and Networking (CANDAR)
Keywords
Field
DocType
membrane computing,satisfiability problem,branch and bound
Asynchronous communication,Branch and bound,Exponential function,Polynomial,Computer science,Boolean satisfiability problem,Algorithm,Membrane,Membrane computing,P system
Conference
ISSN
ISBN
Citations 
2379-1888
978-1-5386-2088-5
0
PageRank 
References 
Authors
0.34
9
2
Name
Order
Citations
PageRank
Yuki Jimen100.34
Akihiro Fujiwara212227.25