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New Factorial Design Theoretic Crossover Operator for Parametrical Problem

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2610))

Abstract

Recent research shows that factorial design methods improve the performance of the crossover operator in evolutionary computation. However the methods employed so far ignore the effects of interaction between genes on fitness, i.e. “epistasis”. Here we propose the application of a systematic method for interaction effect analysis to enhance the performance of the crossover operator. It is shown empirically that the proposed method significantly outperforms existing crossover operators on benchmark problems with high interaction between the variables.

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References

  1. G. E. P. Box, W. G. Hunter, J. S. Hunter, Statistics for Experimenters. John Wiley, 1978.

    Google Scholar 

  2. D. E. Goldberg, Genetic Algorithms in Search, Optimization and Machine Learning. United States of America: Addison Wesley Longman, Inc, 1989.

    Google Scholar 

  3. S.Y. Ho, L. S. Shu, H. M. Chen, Intelligent genetic algorithm with a new intelligent crossover using orthogonal arrays. Proceedings of the Genetic and Evolutionary Computation Conference, vol. 1, pp. 289–296, 1999.

    Google Scholar 

  4. S. Y. Ho, H. M. Chen, A GA-based systematic reasoning approach for solving traveling salesman problems using an orthogonal array crossover, Proceeding of the Fourth International Conference on High Performance Computing in the Asia Pacific Region, vol. 2, pp. 659–663, 2000.

    Google Scholar 

  5. Y. W. Leung, Y. Wang, An orthogonal genetic algorithm with quantization for global numerical optimization. IEEE Transactions on Evolutionary Computation, vol. 5, No. 1, pp. 41–53, 2001.

    Article  Google Scholar 

  6. D. C. Montgomery, Design and Analysis of Experiments. New York: John Wiley and Sons, Inc, 1997.

    MATH  Google Scholar 

  7. M. S. Phadke, Quality engineering using robust design. New York: Prentice Hall, 1987.

    Google Scholar 

  8. C. R. Reeves, C. C. Wright, Epistasis in Genetic Algorithms: An Experimental Design Perspective. Proceedings of the 6 th International Conference on Genetic Algorithms, pp. 217–224, 1995.

    Google Scholar 

  9. G. Taguchi, S. Konishi, Orthogonal Arrays and Linear Graphs. Dearbon, MI: American Supplier Institute, 1987.

    Google Scholar 

  10. R. Unal, D. O. Stanley, C. R. Joyner, Propulsion system design optimization using the Taguchi Method. IEEE Transactions on Engineering Management, vol. 40, no. 3, pp. 315–322, August 1993.

    Article  Google Scholar 

  11. D. Whitley, K. Mathias, S. Rana and J. Dzubera, Building better test function, Proceedings of the 6 th International Conference on Genetic Algorithms, pp. 239–246, 1995.

    Google Scholar 

  12. Q. Zhang, Y. W. Leung, An orthogonal genetic algorithm for multimedia multicast routing. IEEE Transactions on Evolutionary Computation, Vol. 3, No. 1, pp. 53–62, 1999.

    Article  Google Scholar 

  13. X. Yao, Y. Lin and G. Lin, Evolutionary programming made faster, IEEE Transactions on Evolutionary Computation, Vol. 3, No. 2, pp. 82–102, 1999.

    Google Scholar 

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© 2003 Springer-Verlag Berlin Heidelberg

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Chan, K.Y., Aydin, M.E., Fogarty, T.C. (2003). New Factorial Design Theoretic Crossover Operator for Parametrical Problem. In: Ryan, C., Soule, T., Keijzer, M., Tsang, E., Poli, R., Costa, E. (eds) Genetic Programming. EuroGP 2003. Lecture Notes in Computer Science, vol 2610. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36599-0_3

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  • DOI: https://doi.org/10.1007/3-540-36599-0_3

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00971-9

  • Online ISBN: 978-3-540-36599-0

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