Abstract
The maximum satisfiability problem which is known to be NP-hard problem plays a major role in both theoretical and applied computer science. Applying exact algorithms to such complex problems are doomed to fail when dealing with large optimization problems. This paper introduces an enhanced variant of the popular Walksat algorithm using a variable neighborhood structure model. This variant is based on one type of neighborhood with varying sizes. A set of industrial benchmark problem instances is used to test the effectiveness of the new algorithm.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Audemard, G., Simon, L: Predicting learnt clauses quality in modern SAT solvers. In: Twenty First International Conferences on Artificial Intelligence, IQ 2009 (2009)
Bouhmala, N.: A variable neighborhood search structure based-genetic algorithm for combinatorial optimization problems. Int. J. Hybrid Intell. Syst. Theory Appl. 15(2) (2016)
Bouhmala, N.: A multilevel learning automata for MAX-SAT. Int. J. Mach. Learn. Cybern. 6(6), 911–921 (2015). doi:10.1007/s13042-015-0355-4
Bouhmala, N., Hjelmervik, K., Ivar Øvergaard, K.: A generalized variable neighborhood search for combinatorial optimization problems. Electron. Notes Discrete Math. 47, 45–52 (2015)
Bouhmala, N.: A multilevel memetic algorithm for large SAT-encoded problems. Evol. Comput. 20(4), 641–664 (2012)
Bouhmala, N., Granmo, O.C.: Combining finite learning automata with GSAT for the satisfiability problem. Eng. Appl. Artif. Intell. 23(5), 715–726 (2010)
Cai, S., Luo, C., Su. K.: CCASat: solver description. In: Proceedings of SAT Challenge 2012: Solver and Benchmark Descriptions, pages 1314 (2012)
Granmo, O., Bouhmala, N.: Solving the satisfiability problem using finite learning automata. Int. J. Comput. Sci. Appl. IV(III), 15–29 (2007). Special Issue on Natural Inspired Computation
Hu, B., Raidl, R.: Variable neighborhood descent with self-adaptive neighborhood-ordering. In: Cotta, C., Fernandez, A.J., Gallardo, J.E. (eds.) Proceedings of the 7th EU/Meeting on Adaptive, Self-Adaptive, and Multi-level Metaheuristics, Malaga, Spain (2006)
Jagiura, M., Ibaraki, T.: Efficient 2 and 3-flip neighborhood search algorithms for the MAX SAT: experimental evaluation. J. Heurist. 7, 423–442 (2001)
McAllester, D., Selman, B., Kautz, H.: Evidence for invariants in local search. In: Proceedings of the Fourteenth National Conference on Artificial Intelligence (AAAI-97), pp. 321–326 (1997)
Mladenović, N., Hansen, P.: Variable neighborhood search. Comput. Oper. Res. 24, 1097–1100 (1997)
Prestwich, S.: Random walk with continuously smoothed variable weights. In: Theory and Applications of Satisfiability Testing. Lecture Notes in Computer Science, vol. 3569, pp. 203–215 (2005)
Selman, B., Kautz, H.A., Cohen, B.: Noise strategies for improving local search. In: Proceedings of AAAI94, pp. 337–343. MIT Press (1994)
Selman, B., Levesque, H., Mitchell, D.: A new method for solving hard satisfiability problems. In: Proceedings of AAA92, pp. 440–446. MIT Press (1992)
Tompkins, A.D., Hoos, H.: UBCSAT: an implementation and experimentation environment for SLS algorithms for SAT and MAX-SAT, pp. 37–46 (2004)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this paper
Cite this paper
Bouhmala, N., Oselan, M., Brådland, Ø. (2018). Enhanced WalkSAT with Variable Neighborhood Search for MAX-SAT Problems. In: Bi, Y., Kapoor, S., Bhatia, R. (eds) Proceedings of SAI Intelligent Systems Conference (IntelliSys) 2016. IntelliSys 2016. Lecture Notes in Networks and Systems, vol 15. Springer, Cham. https://doi.org/10.1007/978-3-319-56994-9_26
Download citation
DOI: https://doi.org/10.1007/978-3-319-56994-9_26
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-56993-2
Online ISBN: 978-3-319-56994-9
eBook Packages: EngineeringEngineering (R0)