@inproceedings{ddb5371954974dcdaf3d7868e2d66b90,
title = "Fuzzy clustering based hierarchical metamodeling for design optimization",
abstract = "Metamodeling techniques are becoming commonly used for reducing the computational burden of many design optimization problems; however, they often have difficulty or even fail to model an unknown system in a large design space, especially when the number of available samples is limited. This paper proposes an intuitive methodology to systematically reduce the design space to a relatively small region of interest. The methodology entails three main elements: 1) applying the response surface methodology to capture the behavior of unknown functions in the original large space; 2) calculating many inexpensive points from the obtained response surface, clustering these points using the Fuzzy c-means clustering method, and choosing the attractive cluster and its corresponding design space; 3) in the reduced space, progressively generating sampling points to build kriging models and to identify the design optimum. The proposed methodology is illustrated using the wellknown six-hump camel back problem; a constrained, highly-nonlinear, 1-D optimization problem; and a real engineering design problem. It is found that the proposed methodology can intuitively capture promising design regions and can efficiently identify the global or near-global design optimum even in the presence of highly nonlinear constraints. Potential difficulties and further research topics are also discussed.",
author = "Wang, {G. Gary} and Simpson, {Timothy W.}",
year = "2002",
doi = "10.2514/6.2002-5574",
language = "English (US)",
isbn = "9781624101205",
series = "9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization",
publisher = "American Institute of Aeronautics and Astronautics Inc.",
booktitle = "9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization",
note = "9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization 2002 ; Conference date: 04-09-2002 Through 06-09-2002",
}