کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
480278 | 1446090 | 2011 | 10 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Generating and improving orthogonal designs by using mixed integer programming Generating and improving orthogonal designs by using mixed integer programming](/preview/png/480278.png)
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.
► The formulation we present makes use of a novel linearization of the correlation calculations.
► It allows analysts to study a greater number of quantitative factors.
► It does not sacrifice balance or orthogonality.
► It allows the study of discrete-valued quantitative factors.
► It improves some of well-known Taguchi’s designs.
Journal: European Journal of Operational Research - Volume 215, Issue 3, 16 December 2011, Pages 629–638