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

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dc.contributor.authorÖzdemir, Akın
dc.date.accessioned2025-01-21T14:20:37Z
dc.date.available2025-01-21T14:20:37Z
dc.date.issued2019
dc.description.abstractComputer-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.
dc.identifier.dergipark497045
dc.identifier.doi10.29137/umagd.497045
dc.identifier.issn1308-5514
dc.identifier.issue2-551
dc.identifier.startpage559
dc.identifier.urihttps://dergipark.org.tr/tr/download/article-file/765836
dc.identifier.urihttps://dergipark.org.tr/tr/pub/umagd/issue/43865/497045
dc.identifier.urihttps://doi.org/10.29137/umagd.497045
dc.identifier.urihttps://hdl.handle.net/20.500.12587/19237
dc.identifier.volume1
dc.language.isoen
dc.publisherKırıkkale Üniversitesi
dc.relation.ispartofUluslararası Mühendislik Araştırma ve Geliştirme Dergisi
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjectQuality by design
dc.subjectcomputer-aided design
dc.subjectoptimum operating condition
dc.subjectmixed integer linear programming
dc.subjectoptimization
dc.titleA Mixed Integer Linear Programming Model for Finding Optimum Operating Conditions of Experimental Design Variables Using Computer-Aided Optimal Experimental Designs
dc.typeArticle

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