Yıl 2019, Cilt 11 , Sayı 2, Sayfalar 551 - 559 2019-06-30

A Mixed Integer Linear Programming Model for Finding Optimum Operating Conditions of Experimental Design Variables Using Computer-Aided Optimal Experimental Designs

Akın Özdemir [1]


Computer-aided optimal experimental designs are an effective quality improvement tool that provides insights of information under various quality engineering problems. In the literature, considerable attention has been focused on maximizing the determinant of the information matrix in order to generate optimal design points. However, minimizing the average prediction based on the I-optimality criterion is more useful than commonly used D-optimality criterion for a number of situations. In this paper, special experimental design situations are explored where both qualitative and quantitative input variables are considered for an irregular design space with the pre-specified number of design points and the first-order polynomial model. In addition, this paper lays out the algorithmic foundations for the proposed D- and I-optimality criteria embedded mixed integer linear programming models in order to obtain optimal operating conditions using the first-order response functions. Comparative studies are also conducted. Finally, the proposed models are superior to the traditional counterparts.

Quality by design, computer-aided design, optimum operating condition, mixed integer linear programming, optimization
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Birincil Dil en
Konular Mühendislik, Ortak Disiplinler
Bölüm Makaleler
Yazarlar

Yazar: Akın Özdemir (Sorumlu Yazar)
Kurum: BAYBURT UNIVERSITY
Ülke: Turkey


Tarihler

Yayımlanma Tarihi : 30 Haziran 2019

Bibtex @araştırma makalesi { umagd497045, journal = {International Journal of Engineering Research and Development}, issn = {}, eissn = {1308-5514}, address = {Kırıkkale Üniversitesi Mühendislik Fakültesi Dekanlığı Kampüs 71450 Yahşihan/KIRIKKALE}, publisher = {Kırıkkale Üniversitesi}, year = {2019}, volume = {11}, pages = {551 - 559}, doi = {10.29137/umagd.497045}, title = {A Mixed Integer Linear Programming Model for Finding Optimum Operating Conditions of Experimental Design Variables Using Computer-Aided Optimal Experimental Designs}, key = {cite}, author = {Özdemir, Akın} }
APA Özdemir, A . (2019). A Mixed Integer Linear Programming Model for Finding Optimum Operating Conditions of Experimental Design Variables Using Computer-Aided Optimal Experimental Designs. International Journal of Engineering Research and Development , 11 (2) , 551-559 . DOI: 10.29137/umagd.497045
MLA Özdemir, A . "A Mixed Integer Linear Programming Model for Finding Optimum Operating Conditions of Experimental Design Variables Using Computer-Aided Optimal Experimental Designs". International Journal of Engineering Research and Development 11 (2019 ): 551-559 <https://dergipark.org.tr/tr/pub/umagd/issue/43865/497045>
Chicago Özdemir, A . "A Mixed Integer Linear Programming Model for Finding Optimum Operating Conditions of Experimental Design Variables Using Computer-Aided Optimal Experimental Designs". International Journal of Engineering Research and Development 11 (2019 ): 551-559
RIS TY - JOUR T1 - A Mixed Integer Linear Programming Model for Finding Optimum Operating Conditions of Experimental Design Variables Using Computer-Aided Optimal Experimental Designs AU - Akın Özdemir Y1 - 2019 PY - 2019 N1 - doi: 10.29137/umagd.497045 DO - 10.29137/umagd.497045 T2 - International Journal of Engineering Research and Development JF - Journal JO - JOR SP - 551 EP - 559 VL - 11 IS - 2 SN - -1308-5514 M3 - doi: 10.29137/umagd.497045 UR - https://doi.org/10.29137/umagd.497045 Y2 - 2019 ER -
EndNote %0 Uluslararası Mühendislik Araştırma ve Geliştirme Dergisi A Mixed Integer Linear Programming Model for Finding Optimum Operating Conditions of Experimental Design Variables Using Computer-Aided Optimal Experimental Designs %A Akın Özdemir %T A Mixed Integer Linear Programming Model for Finding Optimum Operating Conditions of Experimental Design Variables Using Computer-Aided Optimal Experimental Designs %D 2019 %J International Journal of Engineering Research and Development %P -1308-5514 %V 11 %N 2 %R doi: 10.29137/umagd.497045 %U 10.29137/umagd.497045
ISNAD Özdemir, Akın . "A Mixed Integer Linear Programming Model for Finding Optimum Operating Conditions of Experimental Design Variables Using Computer-Aided Optimal Experimental Designs". International Journal of Engineering Research and Development 11 / 2 (Haziran 2019): 551-559 . https://doi.org/10.29137/umagd.497045
AMA Özdemir A . A Mixed Integer Linear Programming Model for Finding Optimum Operating Conditions of Experimental Design Variables Using Computer-Aided Optimal Experimental Designs. IJERAD. 2019; 11(2): 551-559.
Vancouver Özdemir A . A Mixed Integer Linear Programming Model for Finding Optimum Operating Conditions of Experimental Design Variables Using Computer-Aided Optimal Experimental Designs. International Journal of Engineering Research and Development. 2019; 11(2): 559-551.