Genetic algorithms for the construction of D-optimal designs

Alejandro Heredia-Langner, W. M. Carlyle, Douglas Montgomery, C. M. Borror, George Runger

Research output: Contribution to journalArticle

63 Scopus citations

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 is extremely popular. D-optimal designs are usually constructed by algorithms that sequentially add and delete points from a potential design by 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 be used in highly constrained regions while maintaining a level of performance comparable to more traditional design construction techniques.

Original languageEnglish (US)
Pages (from-to)28-46
Number of pages19
JournalJournal of Quality Technology
Volume35
Issue number1
DOIs
StatePublished - Jan 2003

Keywords

  • Computer-aided design
  • D-optimality
  • Design of experiments
  • Design optimality

ASJC Scopus subject areas

  • Safety, Risk, Reliability and Quality
  • Strategy and Management
  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering

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