We study the problem of determining memberships to the groups in a Boolean algebra. The Boolean algebra is composed of basic groups (e.g., “J” and “K”) and the other groups that are derived from basic groups through the conjunction, disjunction, or negation operations (e.g., “J and...

There are several empirical studies of ex post analysis of citations in academia. There is no ex ante analysis of citations. I consider a game-theoretic model of a contest between scholars on the basis of two widely-used measures of citations (i.e., the ℎ-index and total citation count) and...

This article proposes a novel approach to construct optimal balanced multi-level supersaturated designs using linear integer programming. We illustrate the approach with an example. Using the proposed approach, we construct and catalogue optimal balanced multi-level supersaturated designs in the...