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On the Performance of Genetic Operators and the Random Key Representation

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Book cover Genetic Programming (EuroGP 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3003))

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Abstract

Many evolutionary systems have been developed that solve various specific scheduling problems. In this work, one such permutation based system, which uses a linear GP type Genotype to Phenotype Mapping (GPM), known as the Random Key Genetic Algorithm is investigated. The role standard mutation plays in this representation is analysed formally and is shown to be extremely disruptive. To ensure small fixed sized changes in the phenotype a swap mutation operator is suggested for this representation. An empirical investigation reveals that swap mutation outperforms the standard mutation to solve a hard deceptive problem even without the use of crossover. Swap mutation is also used in conjunction with different crossover operators and significant boost has been observed in the performance especially in the case of headless chicken crossover that produced surprising results.

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References

  1. Bean, J.C.: Genetic algorithms and random keys for sequencing and optimization. ORSA Journal on Computing (1994)

    Google Scholar 

  2. Ryan, C., Collins, J.J., O’Neill, M.: Grammatical evolution: Evolving programs for an arbitrary language. In: Banzhaf, W., Poli, R., Schoenauer, M., Fogarty, T.C. (eds.) EuroGP 1998. LNCS, vol. 1391, pp. 83–95. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  3. Johnson, D.: The travelling salesman problem: A case study in local optimization. In: Aarts, E.H.L., Lenstra, J.K. (eds.) Local Search in Combinatorial Optimization, London, UK, pp. 215–310. John Wiley and Sons, Chichester (1997)

    Google Scholar 

  4. Knjazew, D., Goldberg, D.E.: Large-scale permutation optimization with the ordering messy genetic algorithm. In: Deb, K., Rudolph, G., Lutton, E., Merelo, J.J., Schoenauer, M., Schwefel, H.-P., Yao, X. (eds.) PPSN 2000. LNCS, vol. 1917, pp. 631–640. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  5. Knjazew, D., Goldberg, D.E.: Omega - ordering messy ga: Solving permutation problems with the fast messy genetic algorithm and random keys. ILLiGAL Technical Report No. 2000004 (2000)

    Google Scholar 

  6. Goldberg, D.E., Korb, B.: K. Deb. Messy genetic algorithms: Motivation, analysis, and first results. Complex Systems, 493–530 (1989)

    Google Scholar 

  7. Hart, E., Ross, P.: An immune system approach to scheduling in changing environments. In: Banzhaf, W., et al. (eds.) Genetic and Evolutionary Computation Conference - GECCO 1999, Orlando, Florida, USA, pp. 1559–1565. Morgan Kaufmann, San Francisco (1999)

    Google Scholar 

  8. Hart, E., Ross, P., Nelson, J.: Producing robust schedules via an artificial immune system. In: International Conference on Evolutionary Computing, ICEC 1998, Anchorage, Alaska, USA, pp. 464–469. IEEE Press, Los Alamitos (1998)

    Google Scholar 

  9. Kargupta, H., Deb, K., Goldberg, D.E.: Ordering genetic algorithms and deception. In: Parallel Problem Solving from Nature - PPSN II, pp. 47–56 (1992)

    Google Scholar 

  10. Angeline, P.J.: Subtree crossover: Building block engine or macromutation? In: Koza, J.R., Deb, K., Dorigo, M., Fogel, D.B., Garzon, M., Iba, H., Riolo, R.L. (eds.) Genetic Programming 1997: Proceedings of the Second Annual Conference, San Francisco, CA, pp. 9–17. Morgan Kaufmann, San Francisco (1997)

    Google Scholar 

  11. Fang, H.L.: Genetic Algorithms in Timetabling and Scheduling. PhD thesis, Department of Artificial Intelligence, University of Edinburgh (1994)

    Google Scholar 

  12. Fang, H.L., Ross, P., Corne, D.: A promising genetic algorithm approach to jobshop scheduling, rescheduling, and open-shop scheduling problems. In: Proceedings of the Fifth International Conference on Genetic Algorithms, pp. 375–382 (1993)

    Google Scholar 

  13. O’Neill, M., Ryan, C., Keijzer, M., Cattolico, M.: Crossover in grammatical evolution. Genetic Programming and Evolvable Machines 4(1), 67–93 (2003)

    Article  MATH  Google Scholar 

  14. O’Neill, M., Ryan, C.: Grammatical Evolution - Evolving programs in an arbitrary language. Kluwer Academic Publishers, Dordrecht (2003)

    Google Scholar 

  15. Moscato, P.: On genetic crossover operators for relative order preservation (1989)

    Google Scholar 

  16. Paterson, N.: Genetic programming with context-sensitive grammars. PhD thesis, Saint Andrew’s University (September 2002)

    Google Scholar 

  17. Ciesielski, V., Scerri, P.: Real time genetic scheduling of aircraft landing times

    Google Scholar 

  18. Watson, J., Ross, C., Eisele, V., Bins, J., Guerra, C., Whitley, L., Howe, A.: The traveling salesrep problem, edge assembly crossover, and 2-opt (1998)

    Google Scholar 

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© 2004 Springer-Verlag Berlin Heidelberg

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Ryan, E., Azad, R.M.A., Ryan, C. (2004). On the Performance of Genetic Operators and the Random Key Representation. In: Keijzer, M., O’Reilly, UM., Lucas, S., Costa, E., Soule, T. (eds) Genetic Programming. EuroGP 2004. Lecture Notes in Computer Science, vol 3003. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24650-3_15

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  • DOI: https://doi.org/10.1007/978-3-540-24650-3_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-21346-8

  • Online ISBN: 978-3-540-24650-3

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