An I-optimal experimental design-embedded nonlinear lexicographic goal programming model for optimization of controllable design factors. Issue 3 (4th March 2021)

• Record Type: Journal Article
• Authors: Ozdemir, Akin
• Is Part Of: Engineering optimization. Volume 53:Issue 3(2021)
• Page Start: 392
• Page End: 407
• Publication Date: 2021-03-04
• Subjects: Quality improvement -- I-optimal experimental design -- controllable design factors -- nonlinear lexicographic goal programming -- optimization; Engineering design -- Periodicals; Mathematical optimization -- Periodicals; 620.0042
• DOI: 10.1080/0305215X.2020.1732365
• Languages: English
• ISSNs: 0305-215X

Abstract

Abstract : 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.