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

Authors:
Kai-Tai Fang;Aijun Zhang;Runze Li
Affiliations:
BNU - HKBU United International College, Zhuhai Campus of Beijing Normal University, Jinfeng Road, Zhuhai, 519085, China;Department of Statistics, University of Michigan, Ann Arbor, MI 48105, USA;Department Statistics, Penn State University, University Park, PA 16802, USA
Venue:
Journal of Complexity
Year:
2007

Citing 3
Cited 1

A new class of supersaturated designs

Technometrics
The 2k-p fractional factorial designs part I

Technometrics
Design and Modeling for Computer Experiments (Computer Science & Data Analysis)

Design and Modeling for Computer Experiments (Computer Science & Data Analysis)

An algorithmic approach to finding factorial designs with generalized minimum aberration

Journal of Complexity

Quantified Score

Hi-index	0.00

Visualization

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.