Efficient approximation method for constructing quadratic response surfacemodel

Citation
Kj. Hong et al., Efficient approximation method for constructing quadratic response surfacemodel, KSME INT J, 15(7), 2001, pp. 876-888
Citations number
20
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Mechanical Engineering
Journal title
KSME INTERNATIONAL JOURNAL
ISSN journal
1226-4865 → ACNP
Volume
15
Issue
7
Year of publication
2001
Pages
876 - 888
Database
ISI
SICI code
1226-4865(200107)15:7<876:EAMFCQ>2.0.ZU;2-E
Abstract
For a large scaled optimization based on response surface methods, an effic ient quadratic approximation method is presented in the context of the trus t region model management strategy. If the number of design variables is n, the proposed method requires only 2n + 1 design points for one approximati on, which are a center point and two additional axial points within a syste matically adjusted trust region. These design points are used to uniquely d etermine the main effect terms such as the linear and quadratic regression coefficients. A quasi-Newton formula then uses these linear and quadratic c oefficients to progressively update the two-factor interaction effect terms as the sequential approximate optimization progresses. In order to show th e numerical performance of the proposed method, a typical unconstrained opt imization problem and two dynamic response optimization problems with multi ple objective are solved. Finally, their optimization results compared with those of the central composite designs (CCD) or the over-determined D-opti mality criterion show that the proposed method gives more efficient results than others.