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

Yıl 2019, Cilt: 11 Sayı: 2, 551 - 559, 30.06.2019

Akın Özdemir

https://doi.org/10.29137/umagd.497045

Cited By: 4

Öz

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.

Anahtar Kelimeler

Quality by design, computer-aided design, optimum operating condition, mixed integer linear programming, optimization

Kaynakça

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