In this paper, we develop a new class of orthogonal Latin hypercubes (OLHs) based on Latin squares. These OLHs have n = 2r+1 + 1 rows and k = 2r columns (r = 1, 2,...). For a given number of runs, our OLH vastly increases the numbers of orthogonal columns of OLHs in Ye (1998) and Cioppa & Lucas (2007). Key words: Computer experiments; Latin squares.
The Latin hypercube design (LHD) is a popular choice of experimental design when computer simulation...
A Latin square is a grid or matrix containing the same number of rows and columns (k, say). The cell...
14 pages, 1 article*Experimental Designs and Combinatorial Systems Associated with Latin Squares and...
A class of Orthogonal Latin Hypercubes (OLH) which preserves the orthogonality among columns is cons...
We propose a method for constructing orthogonal or nearly orthogonal Latin hypercubes. The method yi...
Latin hypercube designs (LHDs) have been applied in many computer experiments among the space-fillin...
Computer models can describe complicated physical phenomena. Due to the highly nonlinear and complex...
We present a new method for constructing nearly orthogonal Latin hypercubes that greatly expands the...
We propose a method for constructing orthogonal or nearly orthogonal Latin hypercubes. The method yi...
We propose two methods for constructing a new type of design, called a nested orthogonal array-based...
Latin hypercube design is a good choice for computer experiments. In this paper, we construct a new ...
This is an institute funded project reportLatin hypercube designs is a popular choice of experimenta...
Latin hypercube designs with zero pair-wise column correlations are examined for their space-filling...
Latin hypercube designs with zero pair-wise column correlations are examined for their space-filling...
In this expository paper we have demonstrated the importance of the theory of Latin squares and mutu...
The Latin hypercube design (LHD) is a popular choice of experimental design when computer simulation...
A Latin square is a grid or matrix containing the same number of rows and columns (k, say). The cell...
14 pages, 1 article*Experimental Designs and Combinatorial Systems Associated with Latin Squares and...
A class of Orthogonal Latin Hypercubes (OLH) which preserves the orthogonality among columns is cons...
We propose a method for constructing orthogonal or nearly orthogonal Latin hypercubes. The method yi...
Latin hypercube designs (LHDs) have been applied in many computer experiments among the space-fillin...
Computer models can describe complicated physical phenomena. Due to the highly nonlinear and complex...
We present a new method for constructing nearly orthogonal Latin hypercubes that greatly expands the...
We propose a method for constructing orthogonal or nearly orthogonal Latin hypercubes. The method yi...
We propose two methods for constructing a new type of design, called a nested orthogonal array-based...
Latin hypercube design is a good choice for computer experiments. In this paper, we construct a new ...
This is an institute funded project reportLatin hypercube designs is a popular choice of experimenta...
Latin hypercube designs with zero pair-wise column correlations are examined for their space-filling...
Latin hypercube designs with zero pair-wise column correlations are examined for their space-filling...
In this expository paper we have demonstrated the importance of the theory of Latin squares and mutu...
The Latin hypercube design (LHD) is a popular choice of experimental design when computer simulation...
A Latin square is a grid or matrix containing the same number of rows and columns (k, say). The cell...
14 pages, 1 article*Experimental Designs and Combinatorial Systems Associated with Latin Squares and...