科研成果详情

A supersaturated design is essentially a factorial design with the equal occurrence of level property and no fully aliased factors, in which the number of main effects is greater than the number of runs. It has received much recent interest because of its potential in factor screening experiments. A packing design is an important object in combinatorial design theory. In this paper, a strong link between the two apparently un-related kinds of designs is shown. Several criteria for comparing supersaturated designs are proposed, and their properties and connections with other criteria are discussed. A combinatorial approach, the packing method, for constructing optimal supersaturated designs is presented, and the properties of the resulting designs are also investigated. Comparisons between the new designs and other designs are given, which show that our construction method and the newly constructed designs have good properties.