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Lobachevskii Journal of Mathematics

, Volume 35, Issue 1, pp 27–37 | Cite as

Using genetic algorithms to generate D s -optimal response surface designs

  • P. Sirisom
  • S. Chaimongkol
  • J. J. Borkowski
Article

Abstract

This research introduces a new approach to the generation of D s -optimal designs for subsets of parameters of the second-order response surface model for 2, 3, and 4-dimensional hypercube design spaces while simultaneously satisfying a specified minimum value for the D-efficiency for the full model. Specifically, 1-point and 2-point exchange algorithms and a genetic algorithmwere developed to generate these designs. The results indicate that the D s -criterion values of the GA designs were greater than or equal to those of designs generated by exchange algorithms and by the Optex procedure in SAS. Thus, in general, the GA is superior to the exchange algorithms for generating subset optimal designs.

Keywords and phrases

Exchange algorithm genetic algorithm optimal design response surface design subset optimality 

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Copyright information

© Pleiades Publishing, Ltd. 2014

Authors and Affiliations

  1. 1.Department ofMathematics and Statistics, Faculty of ScienceThammasat UniversityPathum ThaniThailand
  2. 2.Department of Mathematical SciencesMontana State UniversityBozemanUSA

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