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Activity Number:
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209
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Type:
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Contributed
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Date/Time:
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Monday, August 7, 2006 : 2:00 PM to 3:50 PM
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Sponsor:
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Section on Physical and Engineering Sciences
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| Abstract - #307450 |
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Title:
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Rethinking Steepest Ascent
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Author(s):
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Robert W. Mee*+ and Jihua Xiao
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Companies:
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University of Tennessee and University of Tennessee
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Address:
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333 Stokely Management Center, Knoxville, TN, 37996,
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Keywords:
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multiple responses ; response surface methodology
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Abstract:
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The path of steepest ascent consists of points that maximize the predicted response for a fitted first-order model among all points with the same standard error of prediction. When there are multiple responses or additional constraints (e.g., on cost or throughput), current methods are of limited usefulness. We address the problem by constructing confidence bounds for improvement of each response relative to its performance at the center of the design. Overlaying these confidence regions provides the user with the best insight regarding the desirability of moving to new locations. While the methods are simplest when fitting first-order models, they are easily extended to more complicated models using standard statistical software.
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