2017/01/10 by Joseph G. Voelkel, Voelkel, Joseph G. · 2 citations
Computer Science · Decision Sciences · Engineering · #FOS: Computer and information sciences #Integrated Circuits and Semiconductor Failure Analysis #Methodology (stat.ME) #Optimal Experimental Design Methods #VLSI and Analog Circuit Testing
paper · pdf · doi:10.48550/arxiv.1701.02786
openalex publication_date 2017/01/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce systematic methods to create optimal designs for order-of-addition (OofA) experiments, those that study the order in which m components are applied---for example, the order in which chemicals are added to a reaction or layers are added to a film. Full designs require m! runs, so we investigate design fractions. Balance criteria for creating such designs employ an extension of orthogonal arrays (OA's) to OofA-OA's. A connection is made between D-efficient and OofA-OA designs. Necessary conditions are found for the number of runs needed to create OofA-OA's of strengths 2 and 3. We create a number of new, optimal, designs: 12-run OofA-OA's in 4 and 5 components, 24-run OofA-OA's in 5 and 6 components, and near OofA-OA's in 7 components. We extend these designs to include (a) process factors, and (b) the common case in which component orderings are restricted. We also suggest how such designs may be analyzed.