Second-order experimental designs for simulation metamodeling

BATMAZ İ., TUNALI S.

SIMULATION-TRANSACTIONS OF THE SOCIETY FOR MODELING AND SIMULATION INTERNATIONAL, cilt.78, sa.12, ss.699-715, 2002 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 78 Sayı: 12
  • Basım Tarihi: 2002
  • Doi Numarası: 10.1177/0037549702078012001
  • Dergi Adı: SIMULATION-TRANSACTIONS OF THE SOCIETY FOR MODELING AND SIMULATION INTERNATIONAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.699-715
  • Anahtar Kelimeler: simulation, metamodel, design optimality, model bias, variance dispersion graphs, rotatability, validation, OPTIMUM EXPERIMENTAL-DESIGNS, RESPONSE-SURFACE DESIGNS, CONSTRUCTION, ALGORITHM, VARIANCE, BIAS
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

The main purpose of this study is to compare the performance of a group of second-order designs such as Box-Behnken, face-center cube, three-level factorial, central composite, minimum bias, and minimum variance plus bias for estimating a quadratic metamodel. A time-shared computer system is used to demonstrate the ability of the designs in providing good fit of the metamodel to the simulation response. First, for various numbers of center runs, these designs are compared with respect to their efficiency, rotatability, orthogonality, robustness, bias, and prediction variance. Next, second-order metamodels are fit to the data collected using these designs. Metamodel fit is investigated using criteria such as average absolute error, PRESS, and the C-p statistic. Results indicate that the minimum variance plus bias design is the most promising design to estimate a metamodel for the case studied.