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Construction of supersaturated design with large number of factors by the complementary design method

Construction of supersaturated design with large number of factors by the complementary design... Supersaturated designs (SSDs) have been widely used in factor screening experiments. The present paper aims to prove that the maximal balanced designs are a kind of special optimal SSDs under the E(f NOD) criterion. We also propose a new method, called the complementary design method, for constructing E(f NOD) optimal SSDs. The basic principle of this method is that for any existing E(f NOD) optimal SSD whose E(fNOD) value reaches its lower bound, its complementary design in the corresponding maximal balanced design is also E(f NOD) optimal. This method applies to both symmetrical and asymmetrical (mixed-level) cases. It provides a convenient and efficient way to construct many new designs with relatively large numbers of factors. Some newly constructed designs are given as examples. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Construction of supersaturated design with large number of factors by the complementary design method

Acta Mathematicae Applicatae Sinica , Volume 29 (2) – Apr 10, 2013

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Publisher
Springer Journals
Copyright
Copyright © 2013 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-013-0214-6
Publisher site
See Article on Publisher Site

Abstract

Supersaturated designs (SSDs) have been widely used in factor screening experiments. The present paper aims to prove that the maximal balanced designs are a kind of special optimal SSDs under the E(f NOD) criterion. We also propose a new method, called the complementary design method, for constructing E(f NOD) optimal SSDs. The basic principle of this method is that for any existing E(f NOD) optimal SSD whose E(fNOD) value reaches its lower bound, its complementary design in the corresponding maximal balanced design is also E(f NOD) optimal. This method applies to both symmetrical and asymmetrical (mixed-level) cases. It provides a convenient and efficient way to construct many new designs with relatively large numbers of factors. Some newly constructed designs are given as examples.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Apr 10, 2013

References