Response surface methodology using an optimization technique
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2016
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2559
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eng
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92 leaves
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b196948
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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
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National Institute of Development Administration. Library and Information Center
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Chanta Wongoutong (2016). Response surface methodology using an optimization technique. Retrieved from: https://repository.nida.ac.th/handle/662723737/5223.
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Response surface methodology using an optimization technique
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Abstract
Response surface methodology (RSM) is techniques combine both of
experimental designs and statistical techniques for empirical model building and
optimization. The experimental design is considered by the objective is to optimize
one or more response variables influenced by several independent variables.
However, in real situation, we may not be able to identify the true model and so an
approximated model, usually a central composite design for building a second-order
polynomial model, this design is popular in RSM.
A novel method using the Nelder-Mead algorithm is proposed to be used instead of the first order model in moving the experiment in the response surface methodology toward the neighbor of the optimum. A second order model similar to the second order model in the CCD is constructed to estimate the optimum design point and the optimum response. From the simulation using five published test functions and five different normal generators, it can be concluded that the proposed method outperforms the traditional CCD in terms of the number of experiments, the MAPEs of the estimated.
A novel method using the Nelder-Mead algorithm is proposed to be used instead of the first order model in moving the experiment in the response surface methodology toward the neighbor of the optimum. A second order model similar to the second order model in the CCD is constructed to estimate the optimum design point and the optimum response. From the simulation using five published test functions and five different normal generators, it can be concluded that the proposed method outperforms the traditional CCD in terms of the number of experiments, the MAPEs of the estimated.
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Thesis (Ph.D. (Statistics))--National Institute of Development Administration, 2016