Abstract
Adaptation problems are characterized as general extremum problems. For the numerical solution of such problems, the paper considers evolution strategies, that means direct stochastic methods being organized according to principles of the biological evolution. These strategies are assessed with special emphasis being placed on their efficiency. The paper presents a new evolution strategy simulating the “genetic load” principle — the EGL method, describing it as being efficient and convergent with probability 1. A successful application for the solution of a practically relevant adaptation problem is referred to.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
Bremermann, H.J.: Numerical optimization procedures derived from biological evolution processes, in: Cybernetic problems in bionics, New York, 1968.
Bremermann, H.J.: A method of unconstrained global optimization, Math. Biosci. 9, 1–15 (1970).
Born, J.: Evolutionsstrategien zur numerischen Lösung von Adaptionsaufgaben (Evolution strategies for the numerical solution of adaptation problems), Dissertation (A), Humboldt University, Berlin, 1978.
Born, J.; Bellmann, K.: Numerical adaptation of parameters in simulation models by using evolution strategies, in: Modelling and simulation of molecular genetic information systems, Berlin, (to be published in 1980).
Holland, J.H.: Adaptation, in Progress in theoretical biology, vol. 4, New York, San Francisco, London, 263–293, 1976.
Hollatz, H.; Richter, D.: Programmoduln zur Erhöhung der Genauigkeit und Effektivität numerischer Algorithmen (Programme modules for improving the accuracy and efficiency of numerical algorithms), ZfR — Informationen — 78.03, Berlin, 1978.
Rechenberg, I.: Evolutionsstrategie: Optimierung technischer Systeme nach Prinzipien der biologischen Evolution (Evolution strategy: Optimization of technical systems according to principles of biological evolution), Stuttgart, 1973.
Schwefel, H.P.: Numerische Optimierung von Computer-Modellen mittels der Evolutionsstrategie (Numerical optimization of computer models by means of the evolution strategy), Interdisciplinary systems research 26, Basel and Stuttgart, 1977.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1979 Springer-Verlag
About this paper
Cite this paper
Bellmann, K., Born, J. (1979). Numerical solution of adaptation problems by means of an evolution strategy. In: Marchuk, G.I. (eds) Modelling and Optimization of Complex System. Lecture Notes in Control and Information Sciences, vol 18. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0004160
Download citation
DOI: https://doi.org/10.1007/BFb0004160
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-09612-2
Online ISBN: 978-3-540-34781-1
eBook Packages: Springer Book Archive