The uniform design is one of major designs in computer experiments. In this paper, we develop the connection among the computer experiments, uniform designs in statistics and resolvable partially pairwise balanced designs (RPPBDs) from design theory. A series of RPPBDs with special requirements are constructed and used to produce new uniform designs under the discrete discrepancy.

Box and Behnken (1960) constructed 10 three-level, second-order designs, while their 1958 technical report contained seven additional designs. This series of designs is based on combining 2 or 2 designs in different subsets of the t factors, with k < t. The subsets of size k were determined using balanced (or partially balanced) incomplete block designs. This present article offers additional B...