Augments an existing Latin Hypercube Sample, adding points to the design, while maintaining the latin properties of the design. This function attempts to add the points to the design in an optimal way.
1  optAugmentLHS(lhs, m=1, mult=2)

lhs 
The Latin Hypercube Design to which points are to be added 
m 
The number of additional points to add to matrix 
mult 

Augments an existing Latin Hypercube Sample, adding points to the design, while maintaining the latin properties of the design. This function attempts to add the points to the design in a way that maximizes S optimality.
Soptimality seeks to maximize the mean distance from each design point to all the other points in the design, so the points are as spread out as possible.
An n
by k
Latin Hypercube Sample matrix with values uniformly distributed on [0,1]
Rob Carnell
Stein, M. (1987) Large Sample Properties of Simulations Using Latin Hypercube Sampling. Technometrics. 29, 143–151.
randomLHS
, geneticLHS
,
improvedLHS
, maximinLHS
, and
optimumLHS
to generate Latin Hypercube Samples.
optSeededLHS
and
augmentLHS
to modify and augment existing designs.
1 2 3  a < randomLHS(4,3)
a
optAugmentLHS(a, 2, 3)

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