An algorithmic approach to finding factorial designs with generalized minimum aberration

Fasheng Sun, Min Qian Liu, Wenrui Hao

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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
Issue number1
StatePublished - Feb 2009

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Statistics and Probability
  • Numerical Analysis
  • General Mathematics
  • Control and Optimization
  • Applied Mathematics


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