| Chen, W., Allen, J. K., Schrage, D.P., and Mistree, F., 1996d, "Statistical Experimentation Methods for Achieving Affordable Concurrent Design, AIAA Journal of Aircraft Design. |
....4 optimization. Thus, a RS model may be evaluated hundreds or thousands of times during an optimization process without significant computational expense. There has been considerable interest in the application of RS modeling methods to MDO problems and examples of this research are given in [15, 16, 17, 18, 19, 20, 21, 22]. The category of novel modeling methods also includes the interpolation methods based on Bayesian statistics of Sacks et al. 23] The novel optimization methods include a variety of both gradient based and gradient free techniques. The gradient based techniques include the collaborative ....
Chen, W., Allen, J. K., Schrage, D. P., and Mistree, F. "Statistical Experimentation Methods for Achieving Affordable Concurrent Systems Design," AIAA J., 35(5), 893--900 (1997).
....In addition, the method of least squares used in creating the models is relatively computationally inexpensive and straightforward. Evidence of the popularity of polynomial modeling is given by the wealth of recent reports both by the authors of this document [2] and by others as well (cf. [3, 4, 5, 6, 7, 8, 9]) Originally these polynomial modeling methods were developed to produce smooth approximation models of response data contaminated with random error found in typical physical (stochastic) experiments. Due to the ease of use of the polynomial modeling methods, these techniques migrated to the ....
Chen, W., Allen, J. K., Schrage, D. P., and Mistree, F. "Statistical Experimentation Methods for Achieving Affordable Concurrent Systems Design," AIAA J., 35(5), 893--900 (1997).
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Chen, W., Allen, J. K., Schrage, D.P., and Mistree, F., 1996d, "Statistical Experimentation Methods for Achieving Affordable Concurrent Design," AIAA Journal of Aircraft Design.
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Chen, W., Allen, J. K., Schrage, D.P., and Mistree, F., 1996b, "Statistical Experimentation Methods for Achieving Affordable Concurrent Design", AIAA Journal of Aircraft Design, in press.
....In RCEM, approximation techniques are used to replace expensive analysis programs by simplified fast analysis modules. There are various forms of approximation techniques in the existing literature, ranging from the approximation of derivatives [16 18] to the approximation of design space [19 21]. The latter is the focus of this study. A comprehensive review of the existing approximation techniques that encompass the DOE [9,11] including the Response Surface Methodology (RSM) the ANN [10] the kriging method [22] and the AI based inductive learning methods is available in [23] and will ....
Chen, W., Allen, J. K., Schrage, D.P., and Mistree, F. (1996d) "Statistical Experimentation Methods for Achieving Affordable Concurrent Design", AIAA Journal of Aircraft Design.
....to study the whole possible design space to find an appropriate region of interest, and then to build a higher order response model over this reduced region, probably for a reduced number of factors. A detailed sequential experimentation strategy for concurrent systems analysis is reported in [21]. 2.2 Extending Robust Design: The Making of Robust and Flexible Early Decisions Robust design, often called the Taguchi Method , is concerned with minimizing the variation of system performance from a desired target value, and therefore maximizing the quality of the product [12] 22] ....
....and ANOVA (ANalysis Of VAriance) to determine significance. Results from secondary experiments can be used to further examine interactions between design factors. Combining Steps 2 and 3 produces a sequential experimentation strategy to improve iteratively the accuracy of response surface models [21]. Thus, the number and order of experiments gradually increases while problem size is gradually reduced. 14 Generate Top Level Specifications with Quality Considerations (Step 4 Using Module F) Using the fast analysis module from Step 3, top level design specifications with quality ....
W. Chen, J. K. Allen, D.P. Schrage, and F. Mistree, "Statistical Experimentation Methods for Achieving Affordable Concurrent Design", AIAA Journal, 35 (5), May 1997, pp. 893900.
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Chen, W., Allen, J. K., Schrage, D.P., and Mistree, F., 1996d, "Statistical Experimentation Methods for Achieving Affordable Concurrent Design, AIAA Journal of Aircraft Design.
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