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On Construction of a Class of Orthogonal Arrays

Ankit Pat
Indian Institute of Technology Kharagpur – India
PhD Application Talk
AG 1, AG 2, AG 3, AG 4, AG 5, SWS, RG1, MMCI  
Public Audience
English

Date, Time and Location

Monday, 25 February 2013
08:45
120 Minutes
E1 4
R024
Saarbrücken

Abstract

Construction of orthogonal arrays is an important problem in combinatorial design that holds great significance for design of experiments in statistical analysis. In this work, we propose a novel method for the construction of orthogonal arrays. The algorithm makes use of the Kronecker Product operator in association with unit column vectors to generate new orthogonal arrays from existing orthogonal arrays. The effectiveness of the proposed algorithm lies in the fact that it works well with any linear seed orthogonal array without imposing any constraints on the strength or the number of levels. The resulting orthogonal array has the same strength as the seed orthogonal array. We also discuss the proof of correctness of the algorithm. In the Results section we provide a list of new orthogonal arrays generated using this algorithm, that are currently not present in the libraries of orthogonal arrays.

Contact

IMPRS Office Team
0681 93251800
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Tags, Category, Keywords and additional notes

Stephanie Jörg, 02/22/2013 12:01 -- Created document.