Abstract
A new algorithm generating the D-optimal experimental designs, based on an evolutionary search with soft selection, is presented. An efficiency of the numerical algorithm is compared with classical exchange algorithms. Preliminary results are promising and encourage more detailed investigations.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
R. Cook, C. Nachtsheim: A comparison of algorithms for constructing exact Doptimal designs. Technometrics 22, No. 3, pp.315–324 (1980)
Y. Dodge, V. Fedorov, H. Wynn: Optimal design of experiments: an overview. In: Y. Dodge, V.V. Fedorov, H.P. Wynn (eds.): Optimal design and analysis of experiments. Elsevier Science Publishers B.V., North-Holland (1988)
M. Eigen: Self-organization of matter and the evolution of biological macro-molecules. Naturwissenschaften 58, pp. 465–523 (1971)
V. Fedorov: Theory of optimal experiments. Preprint No. 7, Publ. Moscow State University, Moscow (1969)
L.J. Fogel: Autonomous automata. Industrial Research 4, pp. 14–19 (1962)
R. Galar: Handicapped individua in evolutionary processes. Biol. Cybern. 51, pp.1–9 (1985)
R. Galar: Evolutionary search with soft selection. Biol. Cybern. 60, pp.357–364 (1989)
Z. Galil, J. Kiefer: Time-and space-saving computer methods, related to Mitchell's DETMAX, for finding D-optimum designs. Technometrics 22, No. 3, pp. 301–313 (1980)
J. Holland: Adaptation in natural and artificial systems. Ann Arbor, Univ. of Michigan Press (1975)
M.E. Johnson, C.J. Nachtsheim: Some guidelines for constructing exact D-optimal design on convex design space. Technometrics 25, No. 3, pp. 271–277 (1983)
S. Kirkpatrick, C.D. Gellat, M.P. Vecchi: Optimization by simulated annealing. Science 220, No. 4598, pp.671–680 (1983)
T.J. Mitchell: Algorithm for the construction ”D-optimal” experimental designs. Technometrics 16, No. 2, pp.203 (1974)
D. Van Schalkwyk: On the design of mixture experiments. Ph.D. thesis, Univ. of London. (1971)
H. Wynn: Results in the theory and construction of D-optimum Experimental Designs. J. Roy. Statist. Soc., B-34, pp. 133–14 (1972)
W.J. Welch: Branch-and-bound search for experimental designs based on D optimality and other criteria. Technometrics 24, No. 1, pp. 41–48 (1982)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1994 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Karcz-Duleba, I. (1994). Soft selection in D-optimal designs. In: Davidor, Y., Schwefel, HP., Männer, R. (eds) Parallel Problem Solving from Nature — PPSN III. PPSN 1994. Lecture Notes in Computer Science, vol 866. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58484-6_303
Download citation
DOI: https://doi.org/10.1007/3-540-58484-6_303
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-58484-1
Online ISBN: 978-3-540-49001-2
eBook Packages: Springer Book Archive