Supersaturated Designs With the Maximum Number of Factors for a Given Resolution-Rank

Abstract

This article introduces new balanced two-level supersaturated designs with a large number of factors for a given resolution-rank, a criterion that directly assesses a supersaturated design’s ability to detect active factors. The search for supersaturated designs with the largest possible number of factors for a given resolution-rank is implemented by binary integer programming and exhaustive search that exploits design equivalence. We explore supersaturated designs with n = 6, 8, 10, and 12 runs. Six designs have been shown to have the maximum number of columns, and six new designs with improved resolution rank are found.

AMS Subject Classification:

• 62K15

Keywords:

• Design equivalence
• Minimal dependent sets
• Set-covering