Kriging-Model-Based Multi-Objective Robust Optimization and Trade-Off Rule Mining of a Centrifugal Fan with Dimensional Uncertainty

Journal of Computational Science and Technology

Takeshi KIMURA²  Shigeru OBAYASHI³  Shinkyu JEONG³  Kazuyuki SUGIMURA¹ 

[1] Hitachi Ltd.;Hitachi Appliances Inc.;Tohoku University

关键词: Multi-Objective Optimization;    Robust Design;    Genetic Algorithm;    Kriging Model;    Self-Organizing Map;    Association Rule;    Design Rule;    Trade-Off;    Aspiration Vector;    Centrifugal Fan;   

DOI  :  10.1299/jcst.3.196

学科分类：地球科学(综合)

来源: Japan Academy

【 摘 要 】

References(19)Cited-By(2)We propose a new method of design called MORDE (multi-objective robust design exploration) that combines a multi-objective robust optimization approach and data-mining techniques for analyzing trade-offs. The probabilistic representation of design parameters, which is compatible with the Taguchi method, is incorporated into the optimization system we previously developed that uses a multi-objective genetic algorithm. The means and standard deviations of responses of evaluation functions against uncertainties in design variables are evaluated by descriptive Latin hypercube sampling using Kriging surrogate models. Design space is visualized by Self-organizing map (SOM). To extract design rules further, a new approach that adopts the association rule with an "aspiration vector" is proposed. MORDE is then applied to an industrial design problem with a centrifugal fan for a washer-dryer. Taking dimensional uncertainty into account, we optimize the means and standard deviations of the resulting distributions of the fan efficiency and turbulent noise level. Steady Reynolds-averaged Navier Stokes simulations are carried out to collect the necessary dataset for Kriging models. We demonstrate the advantages of the proposed method of multi-objective robust optimization over traditional non-robust ones in that the solutions are diverse. We clarify that the association rule can extract both sufficient and necessary conditions as design rules to achieve trade-off balances. The association rule is also more beneficial than SOM in finding quantitative relations, particularly those that are concerned with more than three design parameters.

【 授权许可】

Unknown