Fast Flexible Space-Filling Designs for Computer Experiments in Constrained Regions

• Activity Number: 164
• Type: Topic Contributed
• Date/Time: Monday, August 4, 2014 : 10:30 AM to 12:20 PM
• Sponsor: Quality and Productivity Section
• Author(s): Ryan Lekivetz*+ and Bradley Jones
• Companies: SAS Institute and SAS Institute
• Keywords: Design of Experiments ; Clustering ; Computer Experiments

Abstract

Space-filling designs allow for exploration of responses with many different settings for each input factor. While much research has been done using rectangular design spaces, it is not uncommon to have constraints on the design region where some combinations are impossible or undesirable to run. We present an intuitive method for quickly generating space-filling designs that have the flexibility to accommodate nonrectangular design regions. We also show that these designs perform favorably compared to other standard designs with respect to the average distance of an arbitrary point in space to the closest design point.