Construction of Sliced Orthogonal Latin Hypercube Designs with Flexible Run Size

Latin hypercube designs (LHDs) are commonly used in designing complex computer models. With the added property of orthogonality, a special type of orthogonal Latin hypercube designs called Sliced Orthogonal Latin Hypercube Designs (SOLHD) are now a days gaining much importance in the field of computer experiments. SOLHD are a special type of OLHDs that can be further partitioned into different slices and act as batches of smaller orthogonal Latin hypercube designs. In this article, we have proposed methods of construction for Sliced orthogonal Latin hypercube designs of equal as well as unequal batch size. The proposed methods are for obtaining SOLHD with two or three slices. . KEYWORDS :Computer experiments, Orthogonality, Orthogonal Latin hypercube designs, Sliced orthogonal Latin hypercube designs.