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Generating and improving orthogonal designs by using mixed integer programming

delete2011-12-01
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PRE
AI
H
Hélcio Vieira *
S
Susan M. Sanchez
K
Karl Heinz Kienitz
M
Mischel Carmen Neyra Belderrain
DOI:10.1016/j.ejor.2011.07.005delete
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摘要

摘要

En 中文
Analysts faced with conducting experiments involving quantitative factors have a variety of potential designs in their portfolio. However, in many experimental settings involving discrete-valued factors (particularly if the factors do not all have the same number of levels), none of these designs are suitable. In this paper, we present a mixed integer programming (MIP) method that is suitable for constructing orthogonal designs, or improving existing orthogonal arrays. for experiments involving quantitative factors with limited numbers of levels of interest. Our formulation makes use of a novel linearization of the correlation calculation. The orthogonal designs we construct do not satisfy the definition of an orthogonal array, so we do not advocate their use for qualitative factors. However, they do allow analysts to study, without sacrificing balance or orthogonality, a greater number of quantitative factors than it is possible to do with orthogonal arrays which have the same number of runs. (C) 2011 Elsevier B.V. All rights reserved.
Keyword:
Orthogonal design creation
Design of experiments
Statistics
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期刊

European Journal of Operational Research 封面图
European Journal of Operational Research
IF:
6
论文数:
2.2W
被引数:
6.4W

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I
instituto tecnologico de aeronautica (ita)
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723
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comando-geral de tecnologia aeroespacial (cta)
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