An effective algorithm for generation of factorial designs with generalized minimum aberration

Kai Tai Fang, Aijun Zhang, Runze Li

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

Fractional factorial designs are popular and widely used for industrial experiments. Generalized minimum aberration is an important criterion recently proposed for both regular and non-regular designs. This paper provides a formal optimization treatment on optimal designs with generalized minimum aberration. New lower bounds and optimality results are developed for resolution-III designs. Based on these results, an effective computer search algorithm is provided for sub-design selection, and new optimal designs are reported.

Original languageEnglish (US)
Pages (from-to)740-751
Number of pages12
JournalJournal of Complexity
Volume23
Issue number4-6
DOIs
StatePublished - Jan 1 2007

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Statistics and Probability
  • Numerical Analysis
  • Mathematics(all)
  • Control and Optimization
  • Applied Mathematics

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