Abstract
Satisfiability problem is an NP-complete problem that finds itself or its variants in many combinatorial problems. There exist many complete algorithms that give successful results on hard problems, but they may be time-consuming because of their branch and bound structures. In this manner, many successful incomplete algorithms are introduced. In this paper, the improvement of incomplete algorithms is of interest and it is shown that the incomplete algorithms can be more efficient if they are equipped with the problem specific knowledge, goal-oriented operators, and knowledge-based methods. In this aspect, an evolutionary local search algorithm is implemented, tested on a randomly generated benchmark that includes test instances with different sizes, and compared with prominent incomplete algorithms. Also, effects of goal-oriented genetic operators and knowledge-based methods used in the evolution-ary local search algorithm are examined by making comparisons with blind operators and random methods.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Cook, S.: The Complexity of Theorem-Proving Procedures. In: Proceedings of Third Annual ACM Symposium on Theory of Computing, pp. 151–158. ACM, New York (1971)
Brayton, K.R., Sangiovanni-Vincentelli, L.A., McMullen, T.C., Hachtel, D.G.: Logic Minimization Algorithms for VLSI Minimization. Kluwer, Boston (1985)
Larrabee, T.: Efficient Generation of Test Patterns Using Boolean Satisfiability. IEEE Transactions on Computer-Aided Design 11(1), 4–15 (1992)
Davis, M., Putnam, H.: A Computing Procedure for Quantification Theory. Journal of ACM 7, 201–215 (1960)
Marques-Silva, J.P., Sakallah, K.A.: GRASP: A Search Algorithm for Propositional Satisfiability. IEEE Transactions on Computers 48(5), 506–521 (1999)
Selman, B., Levesque, H., Mitchell, D.: A New Method for Solving Hard Satisfiability Problems. In: Proceedings of Tenth National Conference on Artificial Intelligence, pp. 440–446. AAAI Press, California (1992)
Selman, B., Kautz, H., Cohen, B.: Noise Strategies for Improving Local Search. In: Proceedings of Twelfth National Conference on Artificial Intelligence, pp. 337–343. AAAI Press, California (1994)
Spears, W.M.: Simulated Annealing for Hard Satisfiability Problems. DIMACS Series in Discrete Mathematics and Theoretical Computer Science, vol. 26, pp. 533–558 (1996)
Mazure, B., Sais, L., Gregoire, E.: Tabu search for SAT. In: Proceedings of the 14th National Conference on Artificial Intelligence and 9th Innovative Applications of Artificial Intelligence Conference, pp. 281–285 (1997)
Marchiori, E., Rossi, C.: A Flipping Genetic Algorithm for Hard 3-SAT Problems. In: Proceedings of Genetic and Evolutionary Conference, pp. 393–400. Morgan Kaufmann, California (1999)
Rossi, C., Marchiori, E., Kok, J.: An Adaptive Evolutionary Algorithm for the Satisfiability Problem. In: Proceedings of ACM Symposium on Applied Computing, pp. 463–469. ACM, New York (2000)
Gottlieb, J., Marchiori, E., Rossi, C.: Evolutionary Algorithms for the Satisfiability Problem. Evolutionary Computation 10(1), 35–50 (2002)
Aksoy, L., Tekin, O.A.: Hybridization of Local Search Algorithms with a Simple Genetic Algorithm for the Satisfiability Problem. In: Proceedings of International Symposium on Innovations in Intelligent Systems and Applications, pp. 235–238 (2005)
Hampson, S., Kibler, D.: Large Plateaus and Plateau Search in Boolean Satisfiability Problems: When to Give Up Searching and Start Again. DIMACS Series in Discrete Mathematics and Theoretical Computer Science, vol. 26, pp. 437–455 (1996)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Aksoy, L., Gunes, E.O. (2006). An Evolutionary Local Search Algorithm for the Satisfiability Problem. In: Savacı, F.A. (eds) Artificial Intelligence and Neural Networks. TAINN 2005. Lecture Notes in Computer Science(), vol 3949. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11803089_22
Download citation
DOI: https://doi.org/10.1007/11803089_22
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-36713-0
Online ISBN: 978-3-540-36861-8
eBook Packages: Computer ScienceComputer Science (R0)