A Mixed Integer Linear Programming Model for Finding Optimum Operating Conditions of Experimental Design Variables Using Computer-Aided Optimal Experimental Designs
[ X ]
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Kırıkkale Üniversitesi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Computer-aidedoptimal experimental designs are an effective quality improvement tool thatprovides insights of information under various quality engineering problems. Inthe literature, considerable attention has been focused on maximizing thedeterminant of the information matrix in order to generate optimal designpoints. However, minimizing the average prediction based on the I-optimality criterion is more usefulthan commonly used D-optimalitycriterion for a number of situations. In this paper, special experimentaldesign situations are explored where both qualitative and quantitative inputvariables are considered for an irregular design space with the pre-specifiednumber of design points and the first-order polynomial model. In addition, thispaper lays out the algorithmic foundations for the proposed D- and I-optimality criteria embedded mixed integer linear programmingmodels in order to obtain optimal operating conditions using the first-orderresponse functions. Comparative studies are also conducted. Finally, theproposed models are superior to the traditional counterparts.
Açıklama
Anahtar Kelimeler
Quality by design, computer-aided design, optimum operating condition, mixed integer linear programming, optimization
Kaynak
Uluslararası Mühendislik Araştırma ve Geliştirme Dergisi
WoS Q Değeri
Scopus Q Değeri
Cilt
1
Sayı
2-551
