Fig. 11. Cross-sectional area distributions
usefulness of this method was demonstrated.
- An accurate Pareto set is obtained by parametrically changing the aspiration level, because each Pareto solution is obtained using a mathematical programming method.
- It was shown that the proposed method could be used to investigate the effect of the variation of random variables on the shape of the Pareto frontier. In addition, the shift of each Pareto solution with the same aspiration level could be traced with respect to the variation of uncertain parameters.
- This method makes it possible to investigate how the variation of the design variables and parameters affect the Pareto set. This investigation is possible without obtaining full Pareto set.
Acknowledgment
Part of this research was supported by JSPS KAKENHI 26249131. The authors wish to express their appreciation to
Prof. S. Kitayama at Kanazawa University for his valuable comments on this research.
References
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Masahiro Toyoda is presently M.S. candidate in Department of Aerospace Engineering at Osaka Prefecture University in Japan. He received his B.S. degree in aerospace engineering from Osaka Prefecture University, Japan in 2012. His research interest is multiobjective optimization and its application to aerospace structural systems.
Nozomu Kogiso is presently an Associate Professor in Department of Aerospace Engineering at Osaka Prefecture University in Japan. He received his B.S. degree in physics from Nagoya University, Japan in 1988 and his M.S. and Dr. Eng. from Osaka Prefecture University in 1994 and 1997, respectively. His research interests include robust and reliability-based design optimization.