In black box evaluation and optimization, Latin hypercube designs play an important role. When dealing with multiple black box functions, the need often arises to construct designs for all black boxes jointly, instead of individually. These so-called nested designs consist of two different...

The problem of finding a maximin Latin hypercube design in two dimensions can be described as positioning n non-attacking rooks on an n x n chessboard such that the minimal distance between pairs of rooks is maximized. Maximin Latin hypercube designs are important for the approximation and...

The design of computer experiments is an important step in black box evaluation and optimization processes. When dealing with multiple black box functions the need often arises to construct designs for all black boxes jointly, instead of individually. These so-called nested designs are used to...

Latin hypercube designs (LHDs) play an important role when approximating computer simulation models.To obtain good space-filling properties, the maximin criterion is frequently used. Unfortunately, constructing maximin LHDs can be quite time-consuming when the number of dimensions and design...

In the field of design of computer experiments (DoCE), Latin hypercube designs are frequently used for the approximation and optimization of black-boxes. In certain situations, we need a special type of designs consisting of two separate designs, one being a subset of the other. These nested...