Title
A hybrid AC3-tabu search algorithm for solving Sudoku puzzles
Abstract
The Sudoku problem consists in filling a n^2xn^2 grid so that each column, row and each one of the nxn sub-grids contain different digits from 1 to n^2. This is a non-trivial problem, known to be NP-complete. The literature reports different incomplete search methods devoted to tackle this problem, genetic computing being the one exhibiting the best results. In this paper, we propose a new hybrid AC3-tabu search algorithm for Sudoku problems. We merge a classic tabu search procedure with an arc-consistency 3 (AC3) algorithm in order to effectively reduce the combinatorial space. The role of AC3 here is do not only acting as a single pre-processing phase, but as a fully integrated procedure that applies at every iteration of the tabu search. This integration leads to a more effective domain filtering and therefore to a faster resolution process. We illustrate experimental evaluations where our approach outperforms the best results reported by using incomplete search methods.
Year
DOI
Venue
2013
10.1155/2015/286354
Computational Intelligence and Neuroscience
Keywords
Field
DocType
tabu search,integrated procedure,non-trivial problem,sudoku problem,different incomplete search method,classic tabu search procedure,best result,ac3-tabu search algorithm,sudoku puzzle,different digit,incomplete search method
Row,Integer,Pairwise comparison,Hybrid algorithm,Computer science,Constraint programming,Filter (signal processing),Algorithm,Artificial intelligence,Grid,Tabu search,Machine learning
Journal
Volume
ISSN
Citations 
2015
1687-5265
15
PageRank 
References 
Authors
0.96
24
5
Name
Order
Citations
PageRank
Ricardo Soto119447.59
Broderick Crawford244673.74
Cristian Galleguillos3305.96
Eric Monfroy457963.05
Fernando Paredes523027.21