LAPSE:2021.0198
Published Article
LAPSE:2021.0198
A Confidence Interval-Based Process Optimization Method Using Second-Order Polynomial Regression Analysis
Jungwon Yu, Soyoung Yang, Jinhong Kim, Youngjae Lee, Kil-Taek Lim, Seiki Kim, Sung-Soo Ryu, Hyeondeok Jeong
April 16, 2021
In the manufacturing processes, process optimization tasks, to optimize their product quality, can be performed through the following procedures. First, process models mimicking functional relationships between quality characteristics and controllable factors are constructed. Next, based on these models, objective functions formulating process optimization problems are defined. Finally, optimization algorithms are applied for finding solutions for these functions. It is important to note that different solutions can be found whenever these algorithms are independently executed if a unique solution does not exist; this may cause confusion for process operators and engineers. This paper proposes a confidence interval (CI)-based process optimization method using second-order polynomial regression analysis. This method evaluates the quality of the different solutions in terms of the lengths of their CIs; these CIs enclose the outputs of the regression models for these solutions. As the CIs become narrower, the uncertainty about the solutions decreases (i.e., they become statistically significant). In the proposed method, after sorting the different solutions in ascending order, according to the lengths, the first few solutions are selected and recommended for the users. To verify the performance, the method is applied to a process dataset, gathered from a ball mill, used to grind ceramic powders and mix these powders with solvents and some additives. Simulation results show that this method can provide good solutions from a statistical perspective; among the provided solutions, the users are able to flexibly choose and use proper solutions fulfilling key requirements for target processes.
Keywords
ball mill, confidence interval, process optimization, second-order polynomial regression analysis
Suggested Citation
Yu J, Yang S, Kim J, Lee Y, Lim KT, Kim S, Ryu SS, Jeong H. A Confidence Interval-Based Process Optimization Method Using Second-Order Polynomial Regression Analysis. (2021). LAPSE:2021.0198
Author Affiliations
Yu J: Electronics and Telecommunications Research Institute, Daegu-Gyeongbuk Research Center, Daegu 42994, Korea
Yang S: Electronics and Telecommunications Research Institute, Daegu-Gyeongbuk Research Center, Daegu 42994, Korea
Kim J: Electronics and Telecommunications Research Institute, Daegu-Gyeongbuk Research Center, Daegu 42994, Korea
Lee Y: Electronics and Telecommunications Research Institute, Daegu-Gyeongbuk Research Center, Daegu 42994, Korea
Lim KT: Electronics and Telecommunications Research Institute, Daegu-Gyeongbuk Research Center, Daegu 42994, Korea
Kim S: Korea Institute of Ceramic Engineering & Technology, Icheon Branch, Engineering Ceramics Center, Icheon-si 17303, Korea
Ryu SS: Korea Institute of Ceramic Engineering & Technology, Icheon Branch, Engineering Ceramics Center, Icheon-si 17303, Korea
Jeong H: Korea Institute of Ceramic Engineering & Technology, Icheon Branch, Engineering Ceramics Center, Icheon-si 17303, Korea
Journal Name
Processes
Volume
8
Issue
10
Article Number
E1206
Year
2020
Publication Date
2020-09-24
Published Version
ISSN
2227-9717
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Original Submission
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PII: pr8101206, Publication Type: Journal Article
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LAPSE:2021.0198
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doi:10.3390/pr8101206
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Apr 16, 2021
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Apr 16, 2021
 
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Calvin Tsay
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