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Columnwise-pairwise algorithms with applications to the construction of supersaturated designs. (English) Zbl 0889.62066
Summary: Motivated by the construction of supersaturated designs, we develop a class of algorithms called columnwise-pairwise exchange algorithms. They differ from the $$k$$-exchange algorithms in two respects: (1) They exchange columns instead of rows of the design matrix, and (2) they employ a pairwise adjustment in the search for a “better” column. The proposed algorithms perform very well in the construction of supersaturated designs both for a single criterion and for multiple criteria. They are also applicable to the construction of designs that are not supersaturated.

##### MSC:
 62K05 Optimal statistical designs
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