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Enhanced Metaheuristics with the Multilevel Paradigm for MAX-CSPs

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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

  1. Bacanin, N., Tuba, M.: Artificial Bee Colony (ABC) algorithm for constrained optimization improved with genetic operators. Stud. Inf. Control 21(2), 137–146 (2012)

    Google Scholar 

  2. 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

    Google Scholar 

  3. 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

    Google Scholar 

  4. 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)

    Google Scholar 

  5. 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)

    Google Scholar 

  6. Dechter, R., Pearl, J.: Tree clustering for constraint networks. Artif. Intell. 38, 353–366 (1989)

    Article  MathSciNet  MATH  Google Scholar 

  7. Gent, I.P., MacIntyre, E., Prosser, P., Walsh, T.: The constrainedness of search. In: Proceedings of the AAAI-96, pp. 246–252 (1996)

    Google Scholar 

  8. 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)

    Chapter  Google Scholar 

  9. Holland, J.H.: Adaptation in Natural and Artificial Systems. The University of Michigan Press, Ann Arbor (1975)

    Google Scholar 

  10. 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)

    Chapter  Google Scholar 

  11. 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)

    Google Scholar 

  12. Kirkpatrick, S., Gelatt, C., Vecci, M.: Optimization by simulated annealing. Science 220(4589), 671–680 (1983)

    Article  MathSciNet  MATH  Google Scholar 

  13. 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)

    Chapter  Google Scholar 

  14. 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)

    Google Scholar 

  15. 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)

    Article  MathSciNet  MATH  Google Scholar 

  16. Pullan, W., Mascia, F., Brunato, M.: Cooperating local search for the maximum clique problems. J. Heuristics 17, 181–199 (2011)

    Article  Google Scholar 

  17. 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)

    Google Scholar 

  18. Stützle, T.: Local Search Algorithms for Combinatorial Problems Analysis, Improvements, and New Applications. Ph.D. thesis, TU Darmstadt, FB Informatics, Darmstadt, Germany (1998)

    Google Scholar 

  19. 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)

    Chapter  Google Scholar 

  20. Xu, W.: Satisfiability transition and experiments on a random constraint satisfaction problem model. Int. J. Hybrid Inf. Technol. 7(2), 191–202 (2014)

    Article  Google Scholar 

  21. 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)

    Article  Google Scholar 

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Correspondence to Noureddine Bouhmala .

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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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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-42088-2

  • Online ISBN: 978-3-319-42089-9

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