A Hybridalldifferent-Tabu Search Algorithm for Solving Sudoku Puzzles

Ricardo Soto, Broderick Crawford, Cristian Galleguillos, Fernando Paredes, Enrique Norero
2015 Computational Intelligence and Neuroscience  
The Sudoku problem is a well-known logic-based puzzle of combinatorial number-placement. It consists in filling an2 × n2grid, composed ofncolumns,nrows, andnsubgrids, each one containing distinct integers from 1 ton2. Such a puzzle belongs to the NP-complete collection of problems, to which there exist diverse exact and approximate methods able to solve it. In this paper, we propose a new hybrid algorithm that smartly combines a classic tabu search procedure with thealldifferentglobal
more » ... from the constraint programming world. Thealldifferentconstraint is known to be efficient for domain filtering in the presence of constraints that must be pairwise different, which are exactly the kind of constraints that Sudokus own. This ability clearly alleviates the work of the tabu search, resulting in a faster and more robust approach for solving Sudokus. We illustrate interesting experimental results where our proposed algorithm outperforms the best results previously reported by hybrids and approximate methods.
doi:10.1155/2015/286354 pmid:26078751 pmcid:PMC4453279 fatcat:wj4yqq2jmvh7ldg557qly7xpzq