Orthogonal arrays have played a vital role in improving the quality of products manufactured
throughout the world. This first book on the subject since its introduction more than fifty years …

This is the first volume of a two-volume text on design theory. Since the first edition, there
has been extensive development of the theory. In particular, the growing importance of …

Nonregular fractional factorial designs such as Plackett-Burman designs and other
orthogonal arrays are widely used in various screening experiments for their run size …

By studying treatment contrasts and ANOVA models, we propose a generalized minimum
aberration criterion for comparing asymmetrical fractional factorial designs. The criterion is …

Classification Algorithms for Codes and Designs Page 1 Algorithms and Computation in
Mathematics Volume 15 ฀ Classification Algorithms for Codes and Designs Classification …

1.1 A balanced incomplete block design (BIBD) is a pair (V, B) where V is a v-set and B is a
collection of bk-subsets of V (blocks) such that each element of V is contained in exactly r …

We specify an algorithm to enumerate a minimum complete set of combinatorially non‐
isomorphic orthogonal arrays of given strength t, run‐size N, and level‐numbers of the …

Orthogonal arrays are used widely in manufacturing and high-technology industries for
quality and productivity improvement experiments. For reasons of run size economy or …

Orthogonal arrays (OAs) are widely used in industrial experiments for factor screening.
Suppose that only a few of the factors in the experiments turn out to be important. An OA can …

The problem of classifying all isomorphism classes of OA (N, k, s, t)'s is shown to be
equivalent to finding all isomorphism classes of non-negative integer solutions to a system …