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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2013 Volume 19, Number 2, Pages 285–294 (Mi timm954)

This article is cited in 10 papers

Hybrid method for the approximate solution of the $3$-satisfiability problem associated with the factorization problem

R. T. Faizullina, V. I. Dul'keitb, Yu. Yu. Ogorodnikovc

a Omsk State Technical University
b LuxSoft
c Omsk State University

Abstract: We consider a hybrid method for the approximate solution of the $3$-satisfiability problem associated with the factorization problem. The method consists of two stages: a segment genetic algorithm and the method of successive approximations. We propose a method for finding most probable bits of the solution. The method consists of several independent tests and makes it possible to approach the convergence domain of the hybrid method and determine several bits of the factors.

Keywords: satisfiability problem, factorization, segment genetic algorithm, minimization.

UDC: 004.021

Received: 10.02.2013



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