January 1, 2003
Journal Article

Genetic algorithms for the construction of D-optimal designs

Abstract

Computer-generated designs are useful for situations where standard factorial, fractional factorial or response surface designs cannot be easily employed. Alphabetically-optimal designs are the most widely used type of computer-generated designs, and of these, the D-optimal (or D-efficient) class of designs are extremely popular. D-optimal designs are usually constructed by algorithms that sequentially add and delete points from a potential design based using a candidate set of points spaced over the region of interest. We present a technique to generate D-efficient designs using genetic algorithms (GA). This approach eliminates the need to explicitly consider a candidate set of experimental points and it can handle highly constrained regions while maintaining a level of performance comparable to more traditional design construction techniques.

Revised: November 10, 2005 | Published: January 1, 2003

Citation

Heredia-Langner A., W.M. Carlyle, D.C. Montgomery, C.M. Borror, and G.C. Runger. 2003. Genetic algorithms for the construction of D-optimal designs. Journal of Quality Technology 35, no. 1:28-46. PNNL-SA-36807.