title: An Effective Algorithm for Generation of Factorial Designs with Generalized Minimum Aberration.
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.
authors.affiliation: BNU - HKBU United International College, Zhuhai Campus of Beijing Normal University, Jinfeng Road, Zhuhai, 519085, China.
authors.forename: Kai-Tai
authors.initials: KT
authors.lastname: Fang
authors.forename: Aijun
authors.initials: A
authors.lastname: Zhang
authors.forename: Runze
authors.initials: R
authors.lastname: Li