Abstract
The single bit mutation and one point crossover operations are most commonly implemented on a chromosome that is encoded as a bit string. If the actual arguments are real numbers this implies a fixed point encoding and decoding each time an argument is updated. A method is presented here for applying these operators to floating point numbers directly, eliminating the need for bit strings The result accurately models the equivalent bit string operations, and is faster overall. Moreover, it provides a better facility for the application of genetic algorithms for continuous optimization problems. As an example, two multimodal functions are used to test the operators, and an adaptive GA in which size and range are varied is tested.
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
Bohachevsky, I.O., Johnson, M.E. and Stein, M.L., “Generalized simulated annealing for function optimization”, Technometrics, Vol. 28, Pp. 209–217, 1986.
Stetson, P.B., “DAOPHOT: A computer program for crowded-field stellar photometry”, Pub. A. S. P., Vol. 191, 1987. Pp. 191–222
Parker, J.R., “Algorithms for Image Processing and Computer Vision”, John Wiley & Sons, New York. 1997.
Davis, L. (ed), “Handbook of Genetic Algorithms”, Van Nostrand Reinhold, New York NY, 1991.
Goldberg, D.E., “Genetic Algorithms, Optimization, and Machine Learning”, Addison-Wesley, Reading MA. 1989.
Holland, J.H., “Adaptation in Natural and Artificial Systems”, University of Michigan Press, Ann Arbor, MI. 1975.
Groisman, G. and Parker, J.R., “Computer Assisted Photometry Using Simulated Annealing”, Computers in Physics, Vol. 7 No. 1, Jan/Feb 1993. Pp. 87–96.
Mitchell, M., “An introduction to genetic algorithms”, The MIT Press, Cambridge, Mass., 1996
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Parker, J.R. (2002). Genetic Algorithms for Continuous Problems. In: Cohen, R., Spencer, B. (eds) Advances in Artificial Intelligence. Canadian AI 2002. Lecture Notes in Computer Science(), vol 2338. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-47922-8_15
Download citation
DOI: https://doi.org/10.1007/3-540-47922-8_15
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-43724-6
Online ISBN: 978-3-540-47922-2
eBook Packages: Springer Book Archive