Maximin Latin Hypercube Designs in Two Dimensions

For example, Morris and Mitchell ( 1995 ) used simulated annealing to find approximate maximin LHDs for up to five dimensions and up to 12 design points, and a few larger values,

In the table, lb denotes the lower bound from Lemma 4 , ρ denotes the minimal covering radius and # the number of nonisomorphic (under the action of the symmetry group of the

To obtain good designs for computer experiments several papers combine space-filling criteria with the (non-collapsing) Latin hypercube structure, see e.g.. Bates

Using these nested designs, instead of traditional designs of computer experiments, is useful when dealing with linking parameters or sequential evaluations, since nested designs

For the ∞ -distance we are able to construct minimax Latin hypercube designs of n points, and to determine the minimal covering radius, for all n.. For the 1 -distance we have a

Constructing a maximin design for two black box functions that share a single linking parameter, or for two-stage sequential evaluations, can be considered as constructing a

Proposition 7 If a uniform multiplicative design is reducible, then the reducing blocks form a symmetric design on the reducing points, the remaining blocks contain all reducing

Designs with two singular values include (v, k, λ) designs and transversal designs, but also some less familiar designs such as partial geometric designs and uniform