An <i>I</i>-optimal experimental design-embedded nonlinear lexicographic goal programming model for optimization of controllable design factors

Özdemir A.

ENGINEERING OPTIMIZATION, cilt.53, sa.3, ss.392-407, 2021 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 53 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1080/0305215x.2020.1732365
  • Dergi Adı: ENGINEERING OPTIMIZATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.392-407
  • Ondokuz Mayıs Üniversitesi Adresli: Hayır

Özet

Optimal experimental designs are effective offline quality improvement techniques used to enhance existing products and develop new products for a constrained design region. For some practical situations, I-optimal experimental designs may be the most suitable way to construct optimal experimental design points, by addressing prediction variance to generate a measure of prediction performance over the non-standard experimental design region. The purpose of this article is three-fold: (1) the I-optimality criterion is selected for minimizing the average prediction variance; (2) fitted mean and variance response models are found; and (3) a nonlinear lexicographic goal programming model incorporating an I-optimal experimental design is proposed to find the optimum settings of controllable design factors. Comparison studies and a numerical example are provided to illustrate the effectiveness of the proposed methodology for improvement of the quality of products.