An algorithmic approach to finding factorial designs with generalized minimum aberration

Fasheng Sun, Min Qian Liu, Wenrui Hao

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

Factorial designs are arguably the most widely used designs in scientific investigations. Generalized minimum aberration (GMA) and uniformity are two important criteria for evaluating both regular and non-regular designs. The generation of GMA designs is a non-trivial problem due to the sequential optimization nature of the criterion. Based on an analytical expression between the generalized wordlength pattern and a uniformity measure, this paper converts the generation of GMA designs to a constrained optimization problem, and provides effective algorithms for solving this particular problem. Moreover, many new designs with GMA or near-GMA are reported, which are also (nearly) optimal under the uniformity measure.

Original languageEnglish (US)
Pages (from-to)75-84
Number of pages10
JournalJournal of Complexity
Volume25
Issue number1
DOIs
StatePublished - Feb 2009

All Science Journal Classification (ASJC) codes

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

Fingerprint Dive into the research topics of 'An algorithmic approach to finding factorial designs with generalized minimum aberration'. Together they form a unique fingerprint.

  • Cite this