On a Grouping Method for Constructing Mixed Orthogonal Arrays
نویسندگان
چکیده
منابع مشابه
On a Grouping Method for Constructing Mixed Orthogonal Arrays
Mixed orthogonal arrays of strength two and size s are constructed by grouping points in the finite projective geometry . can be partitioned into 1, PG mn s 1, PG mn s 1 1 mn n s s –1 n -flats such that each –1 n flat is associated with a point in . An orthogonal array 1, n PG m s 1 1 mn n mn s s n s L s can be constructed ...
متن کاملAn Algorithm for Constructing Orthogonal and Nearly-Orthogonal Arrays With Mixed Levels and Small Runs
Orthogonal arrays are used widely in manufacturing and high-technology industries for quality and productivity improvement experiments. For reasons of run size economy or flexibility, nearly orthogonal arrays are also used. The construction of orthogonal or nearly orthogonal arrays can be quite challenging. Most existing methods are complex and produce limited types of arrays. This article desc...
متن کاملAn algorithmic approach to constructing mixed-level orthogonal and near-orthogonal arrays
Due to run size constraints, near-orthogonal arrays (near-OAs) and supersaturated designs, a special case of near-OA, are considered good alternatives to OAs. This paper shows (i) a combinatorial relationship between a mixed-level array and a nonresolvable incomplete block design (IBD) with varying replications (and its dual, a resolvable IBD with varying block sizes); (ii) the relationship bet...
متن کاملConstructing Ordered Orthogonal Arrays via Sudoku
For prime powers q we use “strongly orthogonal” linear sudoku solutions of order q to construct ordered orthogonal arrays of type OOA(4, s, 2, q), and for each q we present a range of values of s for which these constructions are valid. These results rely strongly on flags of subspaces in a four dimensional vector space over a finite field.
متن کاملA Simple Method for Constructing Orthogonal Arrays By the Kronecker Sum
In this article, we propose a new general approach to constructing asymmetrical orthogonal arrays, namely the Kronecker sum. It is interesting since a lot of new mixed-level orthogonal arrays can be obtained by this method.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Open Journal of Statistics
سال: 2012
ISSN: 2161-718X,2161-7198
DOI: 10.4236/ojs.2012.22022