Abstract
In this paper a Genetic Algorithm is used to search for minimal mutation phyletic trees, an NP-complete problem. We depart from the ‘classical’ G.A. approach to facilitate coding. A clear separation is made between a phenotype and a genotype. The fitness is derived from the phenotype, which represents a tree. The genotype, on which the Genetic Operators are applied, takes the form of a ‘dissimilarity-matrix’ i.e. a redundant non-(bit)string representation. We show that the ‘fitness-landscape’ defined by this genotype/phenotype representation allows effective G.A. search.
Preview
Unable to display preview. Download preview PDF.
References
Goldberg D. E., Genetic algorithms in Search, Optimization and Machine Learning, Addison-Wesley (1989).
Grefenstette J., Gopal R., Rosmaita B., Van Gucht D., Genetic Algoritms for the Traveling Salesman Problem in Proceedings of an international conference on Genetic Algorithms and their applications, John J. Grefenstette ed., pp 160–168 (1985).
Gorges-Schleuter M., ASPARAGOS An Asynchronous Parallel Genetic Optimization Strategy in Proceedings of the third international conference on Genetic Algorithms, Schaffer David J. ed., Morgan Kaufmann publ., pp 422–427 (1989).
Bock H. H., Automatische Klassifikation, Vandenhoeck & Ruprecht (1974).
Williams W.T., Clifford H.T., Lance G.N., Group size dependency, a rationale for the choice between numerical classifications, The computer J. 14, pp 157–158 (1971).
Hendy M.D., Penny D., Branch and bound algorithms to determine minimal evolutionary trees. Math. Biosc. 59, pp 277–290 (1982).
Klotz L.C.,Blanken R.L., A practical method for calculating evolutionary trees from sequence data. J. Theor. Biol. 91, pp 261–272 (1981).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1991 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Gerrits, M., Hogeweg, P. (1991). Redundant coding of an NP-complete problem allows effective Genetic Algorithm search. In: Schwefel, HP., Männer, R. (eds) Parallel Problem Solving from Nature. PPSN 1990. Lecture Notes in Computer Science, vol 496. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0029733
Download citation
DOI: https://doi.org/10.1007/BFb0029733
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54148-6
Online ISBN: 978-3-540-70652-6
eBook Packages: Springer Book Archive