Augmentation Designs for the Orthogonal Array in the Simulation Study  

Oleh:

Itoh, Takumi ; Yoshino, Mutsumi ; Nishina, Ken ; Ishii, Naru

Jenis: Article from Proceeding
Dalam koleksi: 12th ANQ Congress in Singapore, 5-8 Agustus 2014, page 1-7.
Topik: Shinin’s method; 2p orthogonal arrays; Mixed-level orthogonal arrays; Lack of reproducibility; Quadratic effect
Fulltext: QP2-2.6-P0253.pdf (269.23KB)

Isi artikel

The recent advances in Computer-Aided Engineering (CAE) have been contributing to the reduction of lead-time in the product design process. In the practical CAE working, the design of experiments is becoming an important technique in simulation experiments. In this study, the 2p orthogonal arrays (L32) and the mixed-level orthogonal arrays (L18) are addressed. It is well known that the two-factor interaction effects are confounded in these designs. Therefore, in the case of the 2p orthogonal arrays, the resolution IV design is recommended. In the case of the mixed-level orthogonal arrays, the two-factor interaction effects are not taken into consideration because they are confounded almost uniformly into all columns of the orthogonal arrays. In practical working, however, an unexpected two-factor interaction effect can cause the lack of reproducibility and in the case of the 2p orthogonal arrays one may be required to determine the quadratic effect of a factor. In these cases, fresh start of the experiment is not practical; countermeasures by augmentation designs are more practical. In the present study, application of Shinin’s method is proposed as the countermeasures by augmentation designs. Shinin’s method, which can determine a required effect only by sequentially adding experiments, is a good match to simulation experiment because simulation experiments do not require considering randomization of the experimental order and they have no block effect. We propose the augmentation designs of orthogonal arrays using Shinin’s method to determine the two-factor interaction effects and the quadratic effect of a factor. Then we show some of their applications

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