Optimal Regular Graph Designs

Abstract

A typical problem in optimal design theory is finding an experimental design that is optimal with respect to some criteria in a class of designs. The most popular criteria include the A- and D-criteria. Regular graph designs occur in many optimality results and, if the number of blocks is large enough, they are A- and D-optimal. We present the results of an exact computer search for the best regular graph designs in large systems for up to 20 points, k<=r<=10 and r(k-1)-(v-1)[r(k-1)/(v-1)]<=9.