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Quality Improvement Papers
The Structure of Optimal Design Algorithms
Randall Tobias
Abstract
Whereas the theoretical literature is full of cases in which combinatorial designs are shown to be optimal, it is less well recognized that optimal design search tools can in turn be used to generate arrangements that have a high degree of combinatorial structure. This paper demonstrates this point by applying the OPTEX procedure of SAS/QC® software to the problem of finding saturated second-order two-level designs. A new series of combinatorial designs is discovered that improves on the best such series known and compares well to efficient (but noncombinatorial) designs for up to 12 factors.
