Abstract
As many real-world optimization problems become increasingly complex and hard to solve, better optimization algorithms are always needed. Nature inspired algorithms such as genetic algorithms and simulated annealing which belongs to the class of evolutionary algorithms are regarded as highly successful algorithms when applied to a broad range of discrete as well continuous optimization problems. This paper introduces the multilevel paradigm combined with genetic algorithm and simulated annealing for solving the maximum constraint satisfaction problem. The promising performances achieved by the proposed approach is demonstrated by comparisons made to solve conventional random benchmark problems.
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References
Bacanin, N., Tuba, M.: Artificial Bee Colony (ABC) algorithm for constrained optimization improved with genetic operators. Stud. Inf. Control 21(2), 137–146 (2012)
Bonyadi, M., Li, X., Michalewicz, Z.: A hybrid particle swarm with velocity mutation for constraint optimization problems. In: Genetic and Evolutionary Computation Conference, pp. 1–8. ACM, New York (2013). ISBN 978-1-4503-1963-8
Bouhmala, N.: A variable depth search algorithm for binary constraint satisfaction problems. Math. Probl. Eng. 2015 (2015). doi:10.1155/2015/637809, Article ID 637809
Curran, D., Freuder, E., Jansen., T.: Incremental evolution of local search heuristics. In: Proceedings of the 12th Annual Conference on Genetic and Evolutionary Computation, GECCO 2010, pp. 981–982. ACM, New York (2010)
Davenport, A., Tsang, E., Wang, C.J., Zhu, K.: GENET: a connectionist architecture for solving constraint satisfaction problems by iterative improvement. In: Proceedings of the Twelfth National Conference on Artificial Intelligence (1994)
Dechter, R., Pearl, J.: Tree clustering for constraint networks. Artif. Intell. 38, 353–366 (1989)
Gent, I.P., MacIntyre, E., Prosser, P., Walsh, T.: The constrainedness of search. In: Proceedings of the AAAI-96, pp. 246–252 (1996)
Fang, Z., Chu, Y., Qiao, K., Feng, X., Xu, K.: Combining edge weight and vertex weight for minimum vertex cover problem. In: Chen, J., Hopcroft, J.E., Wang, J. (eds.) FAW 2014. LNCS, vol. 8497, pp. 71–81. Springer, Heidelberg (2014)
Holland, J.H.: Adaptation in Natural and Artificial Systems. The University of Michigan Press, Ann Arbor (1975)
Hutter, F., Tompkins, D.A.D., Hoos, H.H.: Scaling and probabilistic smoothing: efficient dynamic local search for SAT. In: Van Hentenryck, P. (ed.) CP 2002. LNCS, vol. 2470, pp. 233–248. Springer, Heidelberg (2002)
Karim, M.R.: A new approach to constraint weight learning for variable ordering in CSPs. In: Proceedings of the IEEE Congress on Evolutionary Computation (CEC 2014), Beijing, China, pp. 2716–2723 (2014)
Kirkpatrick, S., Gelatt, C., Vecci, M.: Optimization by simulated annealing. Science 220(4589), 671–680 (1983)
Lee, H.-J., Cha, S.-J., Yu, Y.-H., Jo, G.-S.: Large neighborhood search using constraint satisfaction techniques in vehicle routing problem. In: Gao, Y., Japkowicz, N. (eds.) AI 2009. LNCS, vol. 5549, pp. 229–232. Springer, Heidelberg (2009)
Morris, P.: The breakout method for escaping from local minima. In: Proceeding AAAI 1993, Proceedings of the Eleventh National Conference on Artificial Intelligence, pp. 40–45 (1993)
Minton, S., Johnson, M., Philips, A., Laird, P.: Minimizing conflicts: a heuristic repair method for constraint satisfaction and scheduling problems. Artif. Intell. 58, 161–205 (1992)
Pullan, W., Mascia, F., Brunato, M.: Cooperating local search for the maximum clique problems. J. Heuristics 17, 181–199 (2011)
Schuurmans, D., Southey, F., Holte, R.: The exponentiated subgradient algorithm for heuristic Boolean programming. In: 17th International Joint Conference on Artificial Intelligence, pp. 334–341. Morgan Kaufmann Publishers, San Francisco (2001)
Stützle, T.: Local Search Algorithms for Combinatorial Problems Analysis, Improvements, and New Applications. Ph.D. thesis, TU Darmstadt, FB Informatics, Darmstadt, Germany (1998)
Wallace, R.J., Freuder, E.C.: Heuristic methods for over-constrained constraint satisfaction problems. In: Jampel, M., Maher, M.J., Freuder, E.C. (eds.) CP-WS 1995. LNCS, vol. 1106, pp. 207–216. Springer, Heidelberg (1996)
Xu, W.: Satisfiability transition and experiments on a random constraint satisfaction problem model. Int. J. Hybrid Inf. Technol. 7(2), 191–202 (2014)
Zhou, Y., Zhou, G., Zhang, J.: A hybrid glowworm swarm optimization algorithm for constrained engineering design problems. Appl. Math. Inf. Sci. 7(1), 379–388 (2013)
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Bouhmala, N., Groesland, M.S., Volden-Freberg, V. (2016). Enhanced Metaheuristics with the Multilevel Paradigm for MAX-CSPs. In: Gervasi, O., et al. Computational Science and Its Applications -- ICCSA 2016. ICCSA 2016. Lecture Notes in Computer Science(), vol 9789. Springer, Cham. https://doi.org/10.1007/978-3-319-42089-9_38
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DOI: https://doi.org/10.1007/978-3-319-42089-9_38
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