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- In relation to this article, we declare that there is no conflict of interest.
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Received December 3, 2001
Accepted April 1, 2002
- This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright © KIChE. All rights reserved.
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Improved Evolutionary Operation Based on D-optimal Design and Response Surface Method
Department of Chemical Engineering, Pohang University of Science and Technology, Pohang, Kyungbuk 790-784, Korea
chan@postech.ac.kr
Korean Journal of Chemical Engineering, July 2002, 19(4), 535-544(10), 10.1007/BF02699292
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Abstract
This paper presents improved evolutionary operation based on D-optimal design and response surface method. D-optimal design and response surface method allow us to overcome the disadvantages of conventional evolutionary operation. Although evolutionary operation has been an effective alternative when fundamental models are hard to build because of the lack of the necessary information, the disadvantages in the number of experiments, experimental design and analysis and detection of the optimal point have prevented EVOP from being frequently applied_x000D_
to real processes. To compare the performance of the proposed method and the conventional EVOP, both of them were applied to a pulp digester process. As a result, the comparable response variable value has been clearly obtained with the proposed method while conducting much fewer numbers of experiments than the conventional evolutionary operation. In addition, the proposed method flexibly handles the constraints in the experimental design and gives more_x000D_
reliable experiment results than the conventional evolutionary operation. By virtue of these benefits, the proposed method can be utilized effectively for a process where prior knowledge for the process is not available.
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Box GEP, Appl. Statist., 4, 3 (1957)
Box GEP, Draper NR, "Empirical Model-Building and Response Surfaces," John Wiley & Sons, New York, U.S.A. (1987)
Box GEP, Wilson KB, J. Roy. Statist. Soc., B13(1), 38 (1951)
Choi SH, Manousiouthakis V, Korean J. Chem. Eng., 19(2), 227 (2002)
Choi YJ, Kwon TI, Yeo YK, Korean J. Chem. Eng., 17(6), 712 (2000)
DuMouchel W, Jones B, Technometrics, 36, 37 (1994)
Galil Z, Kiefer J, Technometrics, 21, 301 (1980)
Geladi P, Kowalski BR, Anal. Chim. Acta, 185, 1 (1986)
Hunter WG, Kittrell JR, Technometrics, 8, 389 (1966)
Janson JC, Korean J. Chem. Eng., 18(2), 149 (2001)
Johnson ME, Nachtsheim CJ, Technometrics, 25, 271 (1983)
Kayihan F, "Continuous Digester Benchmark Model v1.0," IETek, Washington, U.S.A. (1997)
Lee JH, Lim HC, Korean J. Chem. Eng., 16(1), 118 (1999)
Lee SJ, Lee MH, Chang KS, Han C, HWAHAK KONGHAK, 36(3), 415 (1998)
Lee SJ, Lee MH, Chang KS, Han C, HWAHAK KONGHAK, 36(3), 422 (1998)
Mitchell TJ, Technometrics, 16, 203 (1974)
Nelder JA, Mead R, Comput. J., 7, 308 (1965)
Neter J, Kutner MH, Nachtsheim CJ, Wasserman W, "Applied Linear Statistical Models," 4th ed., IRWIN, New York, U.S.A. (1996)
Park JC, Ha DM, Kim MG, Korean J. Chem. Eng., 13(2), 115 (1996)
Piepel GF, J. Qual. Technol., 20, 125 (1988)
Powell MJD, Comput. J., 7, 155 (1964)
Saad EE, Ceram. Eng. Sci. Proc., 15, 17 (1994)
Tunga R, Banerjee R, Bhattacharyya BC, J. Biosci. Bioeng., 87, 224 (1999)
Yi HS, Han C, Korean J. Chem. Eng., 18(4), 442 (2001)