Abstract
In this paper we show that optimal design of experiments, a specific topic in statistics, constitutes a challenging application field for global optimization. This paper shows how various structures in optimal design of experiments problems determine the structure of corresponding challenging global optimization problems. Three different kinds of experimental designs are discussed: discrete designs, exact designs and replicationfree designs. Finding optimal designs for these three concepts involves different optimization problems.
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Boer, E., Hendrix, E. Global Optimization Problems in Optimal Design of Experiments in Regression Models. Journal of Global Optimization 18, 385–398 (2000). https://doi.org/10.1023/A:1026552318150
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DOI: https://doi.org/10.1023/A:1026552318150