Highly D‑efficient Weighing Design and Its Construction

Abstract

In this paper, some aspects of design optimality on the basis of spring balance weighing designs are considered. The properties of D‑optimal and D‑efficiency designs are studied. The necessary and sufficient conditions determining the mentioned designs and some new construction methods are introduced. The methods of determining designs that have the required properties are based on a set of incidence matrices of balanced incomplete block designs and group divisible designs.

Keywords

• balanced incomplete block design
• efficient design
• group divisible design
• optimal design
• spring balance weighing design