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Using Viruses to Improve GAs

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Advances in Natural Computation (ICNC 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3612))

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Abstract

In this paper, we will introduce an evolutionary algorithm for finding approximate solutions to the Weighted Minimum Hitting Set Problem. The proposed genetic algorithm, denoted by HEAT-V, makes use of a newly defined concept of virus. We will test its performance against a well known and efficient greedy algorithm, and on several families of sets.

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References

  1. Bäck, T., Eiben, A., Vink, M.: A superior evolutionary algorithm for 3-SAT. In: Proceedings of the 7th Annual Conference on Evolutionary Programming, pp. 125–136 (1998)

    Google Scholar 

  2. Bellare, M., Goldwasser, S., Lund, G., Russel, A.: Efficient probabilistically checkable proofs and applications to approximations. In: Proceedings of the 25th Annual ACM Symposium on Theory of Computing, pp. 294–304 (1993)

    Google Scholar 

  3. Cutello, V., Mastriani, E., Pappalardo, F.: An evolutionary algorithm for the T-constrained variation of the Minimum Hitting Set Problem. In: Proceedings of 2002 IEEE Congress on Evolutionary Computation (CEC 2002), vol. 1, pp. 366–371 (2002)

    Google Scholar 

  4. Feige, U.: A threshold of logn for approximating set cover. Journal of ACM 45, 634–652 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  5. Galinier, P.: Hybrid Evolutionary Algorithms for Graph Coloring. Journal of Combinatorial Optimization 3(4), 379–397 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  6. Garey, M.R., Johnson, D.S.: Computers and Intractability: A guide to the theory of NP-completeness. W. H. Freeman and Company, New York (1979)

    MATH  Google Scholar 

  7. Johnson, D.S.: Approximation algorithms for combinatorial problems. J. Comput. System Sci. 1, 256–278 (1974)

    Article  Google Scholar 

  8. Khuri, S., Bäck, T.: An Evolutionary Heuristic for the Minimum Vertex Cover Problem. In: Proc. of the KI 1994 Workshop (1994)

    Google Scholar 

  9. Laguna, M., Moscato, P.: On Genetic Crossover Operators for Relative Order Preservation. In: Diaz, B.A. (ed.) C3P Report 778, Algoritmos Geneticos, ch. 3. Optimizacion Heuristica y Redes Neuronales, Paraninfo, Madrid, Espanya (1996)

    Google Scholar 

  10. Manner, R., Manderick, B.: Genetic Operators, the Fitness Landscape and the Traveling Salesman Problem. In: Parallel Problem Solving from Nature-PPSN 2, pp. 219–228 (1992)

    Google Scholar 

  11. Papadimitriou, C.H.: Computational Complexity. Addison Wesley, Reading (1994)

    MATH  Google Scholar 

  12. Papadimitriou, C.H., Steiglitz, K.: Combinatorial Optimization, pp. 407–408. Prentice-Hall, Englewood Cliffs (1982)

    MATH  Google Scholar 

  13. Raz, R., Safra, S.: A sub-constant error-probability low-degree test, and sub-constant error-probability PCP characterization of NP. In: Proceedings of the 29th Ann. ACM Symp. on Theory of Computation, pp. 475–484 (1997)

    Google Scholar 

  14. Slavik, P.: A tight analysis of the greedy algorithm for set cover. In: Proceedings of 28th ACM Symposium on Theory of Comp., pp. 435–439 (1996)

    Google Scholar 

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© 2005 Springer-Verlag Berlin Heidelberg

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Pappalardo, F. (2005). Using Viruses to Improve GAs. In: Wang, L., Chen, K., Ong, Y.S. (eds) Advances in Natural Computation. ICNC 2005. Lecture Notes in Computer Science, vol 3612. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11539902_19

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  • DOI: https://doi.org/10.1007/11539902_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28320-1

  • Online ISBN: 978-3-540-31863-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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