Abstract
Empirical studies have shown that the overall performance of random bit climbers on NK-Landscapes is superior to the performance of some simple and enhanced GAs. Analytical studies have also lead to suggest that NK-Landscapes may not be appropriate for testing the performance of GAs. In this work we study the effect of selection, drift, mutation, and recombination on NK-Landscapes for N = 96. We take a model of generational parallel varying mutation GA (GASRM) and switch on and off its major components to emphasize each of the four processes mentioned above. We observe that using an appropriate selection pressure and postponing drift make GAs quite robust on NK-Landscapes; different to previous studies, even simple GAs with these two features perform better than a random bit climber (RBC+) for a broad range of classes of problems (K ≥ 4). We also observe that the interaction of parallel varying mutation with crossover improves further the reliability of the GA, especially for 12 < K < 32. Contrary to intuition, we find that for small K a mutation only EA is very effective and crossover may be omitted; but the relative importance of crossover interacting with varying mutation increases with K performing better than mutation alone (K >12).We conclude that NK-Landscapes are useful for testing the GA’s overall behavior and performance and also for testing each one of the major processes involved in a GA.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
K. A. De Jong and M. A. Potter and W. M. Spears, “Using Problem Generators to Explore the Effects of Epistasis”, Proc. 7th Int’l Conf. Genetic Algorithms, Morgan Kauffman, pp.338–345, 1997.
S. A. Kauffman, The Origins of Order: Self-Organization and Selection in Evolution, pp.33–67, Oxford Univ. Press, 1993.
Y. Davidor, “Epistasis Variance: A Viewpoint of GA-Hardness”, Proc. First Foundations of Genetic Algorithms Workshop, lMorgan Kauffman, pp.23–25, 1990.
B. Manderick, M. de Weger, and P. Spiessens, “The Genetic Algorithm and the Structure of the Fitness Landscape”, Proc. 4th Int’l Conf. on Genetic Algorithms, Morgan Kaufmann, pp.143–150, 1991.
L. Altenberg, “Evolving Better Representations through Selective Genome Growth”, Proc. 1st IEEE Conf. on Evolutionary Computation, Pistcaway, NJ:IEEE, pp.182–187, 1994.
J. E. Smith, Self Adaptation in Evolutionary Algorithms, Doctoral Dissertation, University of theWest of England, Bristol, 1998.
P. Merz and B. Freisleben, “On the Effectiveness of Evolutionary Search in High-Dimensional NK-Landscapes”, Proceedings of the 1998 IEEE International Conference on Evolutionary Computation, IEEE Press, pp. 741–745, 1998.
R. Heckendorn, S. Rana, and D. Whitley, “Test Function Generators as Embedded Landscapes”, Foundations of Genetic Algorithms 5, Morgan Kaufmann, pp.183–198, 1999.
K. E. Mathias, L. J. Eshelman, and D. Schaffer, “Niches in NK-La ndscapes”, Foundations of Genetic Algorithms 6, Morgan Kaufmann, pp.27–46, 2000.
M. Shinkai, H. Aguirre, and K. Tanaka, “Mutation Strategy Improves GA’s Performance on Epistatic Problems”, Proc. 2002 IEEE World Congress on Computational Intelligence, pp.795–800, 2002.
L. J. Eshelman, “The CHC Adaptive Search Algorithm: How to Have a Save Search When Engaging in Nontraditional Genetic Recombination”, Foundations of Genetic Algorithms, Morgan Kaufmann, pp.265–283, 1991.
L. Davis, “Bit-Climbing, Representational Bias, and Test Suite Design”, Proc. 4th Int’l Conf. on Genetic Algorithms, Morgan Kaufman, pp.18–23, 1991.
L. Altenberg, “Fitness Landscapes: NK Landscapes”, Handbook of Evolutionary Computation, Institute of Physics Publishing & Oxford Univ. Press, pp. B2.7:5–10, 1997.
R. E. Smith and J. E. Smith, “An examination of Tunable, Random Search Landscapes”, Foundations of Genetic Algorithms 5, Morgan Kaufmann, pp.165–182, 1999.
R. E. Smith and J. E. Smith, “New Methods for Tunable, Random Landscapes”, Foundations of Genetic Algorithms 6, Morgan Kaufmann, pp.47–67, 2001.
H. Aguirre, K. Tanaka, and T. Sugimura. Cooperative Model for Genetic Operators to Improve GAs. In Proc. IEEE Int’l Conf. on Information, Intelligence, and Systems, pp.98–106, 1999.
H. Aguirre, K. Tanaka, T. Sugimura, and S. Oshita. Cooperative-Competitive Model for Genetic Operators: Contributions of Extinctive Selection and Parallel Genetic Operators. In Proc. Late Breaking Papers Genetic and Evolutionary Computation Conference, Morgan Kaufmann, pp.6–14, 2000.
T. Bäck, Evolutionary Algorithms in Theory and Practice, Oxford Univ. Press, 1996.
D. Whitley, “The GENITOR Algorithm and Selection Pressure: Why Rank-Based Allocation of Reproductive Trials is Best”, Proc. Third Intl. Conf. on Genetic Algorithms, Morgan Kauffman, pp. 116–121, 1989.
D. E. Goldberg, Genetic Algorithms in Search, Optimization and Machine Learning,Addison-Wesley, 1989.
L. Eshelman and D. Schaffer, “Preventing Premature Convergence in Genetic Algorithms by Preventing Incest”, Fourth Intl. Conf. on Genetic Algorithms, Morgan Kauffman, pp.115–122, 1991.
D. Schaffer, M. Mani, L. Eshelman, and K. Mathias, “The Effect of Incest Prevention on Genetic Drift”, Foundations of Genetic Algorithms 5, Morgan Kaufmann, pp.235–243, 1999.
K.-H. Liang, X. Yao, C. Newton and D. Hoffman, “Solving Cutting Stock Problems by Evolutionary Programming”, Evolutionary Programming VII: Proc. of the Seventh Annual Conference on Evolutionary Programming (EP98), Lecture Notes in Computer Science, Springer-Verlag, vol. 1447, pp.291–300, 1998.
J. He and X. Yao, “From an Individual to a Population: An Analysis of the First Hitting Time of Population-Based Evolutionary Algorithms,” IEEE Transactions on Evolutionary Computation, 6(5):495–511, 2002.
C.R. Reeves and J.E. Rowe, Genetic Algorithms–Principles and Perspectives, Kluwer, Norwell, MA, 2002.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Aguirre, H.E., Tanaka, K. (2003). Genetic Algorithms on NK-Landscapes: Effects of Selection, Drift, Mutation, and Recombination. In: Cagnoni, S., et al. Applications of Evolutionary Computing. EvoWorkshops 2003. Lecture Notes in Computer Science, vol 2611. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36605-9_13
Download citation
DOI: https://doi.org/10.1007/3-540-36605-9_13
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-00976-4
Online ISBN: 978-3-540-36605-8
eBook Packages: Springer Book Archive