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Inc*: An Incremental Approach for Improving Local Search Heuristics

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Book cover Evolutionary Computation in Combinatorial Optimization (EvoCOP 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4972))

Abstract

This paper presents Inc*, a general algorithm that can be used in conjunction with any local search heuristic and that has the potential to substantially improve the overall performance of the heuristic. Genetic programming is used to discover new strategies for the Inc* algorithm. We experimentally compare performance of local heuristics for SAT with and without the Inc* algorithm. Results show that Inc* consistently improves performance.

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References

  1. Bader-El-Den, M.B., Poli, R.: A GP-based hyper-heuristic framework for evolving 3-SAT heuristics. In: GECCO 2007: Proceedings of the 9th annual conference on Genetic and evolutionary computation, July 7-11, 2007, vol. 2, pp. 1749–1749. ACM Press, London (2007)

    Chapter  Google Scholar 

  2. Bader-El-Din, M.B., Poli, R.: Generating SAT local-search heuristics using a GP hyper-heuristic framework. In: Proceedings of the 8th International Conference on Artificial Evolution, vol. 36(1), pp. 141–152 (2007)

    Google Scholar 

  3. Cook, S.A.: The complexity of theorem-proving procedures. In: STOC 1971: Proceedings of the third annual ACM symposium on Theory of computing, pp. 151–158. ACM Press, New York (1971)

    Chapter  Google Scholar 

  4. Davis, M., Logemann, G., Loveland, D.: A machine program for theorem-proving. Commun. ACM 5(7), 394–397 (1962)

    Article  MATH  MathSciNet  Google Scholar 

  5. Fourdrinoy, O., Gregoire, E., Mazure, B., Sais, L.: Eliminating redundant clauses in sat instances. In: Van Hentenryck, P., Wolsey, L.A. (eds.) CPAIOR 2007. LNCS, vol. 4510, pp. 71–83. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  6. Fukunaga, A.: Automated discovery of composite SAT variable selection heuristics. In: Proceedings of the National Conference on Artificial Intelligence (AAAI), pp. 641–648 (2002)

    Google Scholar 

  7. Fukunaga, A.S.: Evolving local search heuristics for SAT using genetic programming. In: Deb, K., et al. (eds.) GECCO 2004. LNCS, vol. 3103, pp. 483–494. Springer, Heidelberg (2004)

    Google Scholar 

  8. Gent, I.P., Walsh, T.: Towards an understanding of hill-climbing procedures for SAT. In: Proc. of AAAI 1993, Washington, DC, pp. 28–33 (1993)

    Google Scholar 

  9. Gottlieb, J., Marchiori, E., Rossi, C.: Evolutionary algorithms for the satisfiability problem. Evol. Comput. 10(1), 35–50 (2002)

    Article  Google Scholar 

  10. Han, H., Somenzi, F.: Alembic: an efficient algorithm for cnf preprocessing. In: DAC 2007: Proceedings of the 44th annual conference on Design automation, pp. 582–587. ACM, New York (2007)

    Google Scholar 

  11. Hoos, H.H., O’Neill, K.: Stochastic local search methods for dynamic SAT- an initial investigation. Technical Report TR-00-01, 1 (2000)

    Google Scholar 

  12. Kibria, R.H., Li, Y.: Optimizing the initialization of dynamic decision heuristics in DPLL SAT solvers using genetic programming. In: Collet, P., Tomassini, M., Ebner, M., Gustafson, S., Ekárt, A. (eds.) EuroGP 2006. LNCS, vol. 3905, pp. 331–340. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  13. Koza, J.R.: Genetic Programming: On the Programming of Computers by Means of Natural Selection. MIT Press, Cambridge (1992)

    MATH  Google Scholar 

  14. Langdon, W.B., Poli, R.: Foundations of Genetic Programming. Springer, Heidelberg (2002)

    Book  MATH  Google Scholar 

  15. Marchiori, E., Rossi, C.: A flipping genetic algorithm for hard 3-SAT problems. In: Banzhaf, W., Daida, J., Eiben, A.E., Garzon, M.H., Honavar, V., Jakiela, M., Smith, R.E. (eds.) Proceedings of the Genetic and Evolutionary Computation Conference, Orlando, Florida, USA, 13-17, 1999, vol. 1, pp. 393–400. Morgan Kaufmann, San Francisco (1999)

    Google Scholar 

  16. Minton, S., Johnston, M.D., Philips, A.B., Laird, P.: Minimizing conflicts: A heuristic repair method for constraint satisfaction and scheduling problems. Artificial Intelligence 58(1-3), 161–205 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  17. Rossi, C., Marchiori, E., Kok, J.N.: An adaptive evolutionary algorithm for the satisfiability problem. In: SAC 2000, vol. 1, pp. 463–469 (2000)

    Google Scholar 

  18. Selman, B., Kautz, H.: Domain-independent extensions to GSAT: solving large structured satisfiability problems. In: Proceedings of theInternational Joint Conference on Artificial Intelligence(IJCAI 1993), Chambry, France (1993)

    Google Scholar 

  19. Selman, B., Kautz, H.A., Cohen, B.: Noise strategies for improving local search. In: Proceedings of the Twelfth National Conference on Artificial Intelligence (AAAI 1994), Seattle, pp. 337–343 (1994)

    Google Scholar 

  20. Selman, B., Levesque, H.J., Mitchell, D.: A new method for solving hard satisfiability problems. In: Rosenbloom, P., Szolovits, P. (eds.) Proceedings of the Tenth National Conference on Artificial Intelligence, pp. 440–446. AAAI Press, Menlo Park (1992)

    Google Scholar 

  21. Zeng, H., McIlraith, S.A.: The role of redundant clauses in solving satisfiability problems. In: van Beek, P. (ed.) CP 2005. LNCS, vol. 3709, p. 873. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

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Jano van Hemert Carlos Cotta

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Bader-El-Den, M., Poli, R. (2008). Inc*: An Incremental Approach for Improving Local Search Heuristics. In: van Hemert, J., Cotta, C. (eds) Evolutionary Computation in Combinatorial Optimization. EvoCOP 2008. Lecture Notes in Computer Science, vol 4972. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78604-7_17

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  • DOI: https://doi.org/10.1007/978-3-540-78604-7_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-78603-0

  • Online ISBN: 978-3-540-78604-7

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