Models of Multi-Response Optimization Design and Applications

Li Zhang; Nguyen The Kien

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Models of Multi-Response Optimization Design and Applications

Li Zhang, Nguyen The Kien

Published in Asia-Pacific Journal of Management Science and Engineering (Volume 2, Issue 1)

Received: 5 December 2022 Accepted: 27 December 2022 Published: 9 March 2023

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Abstract

With the rapid development of science and technology and the continuous intensification of globalization, many industries in China have been continuously transformed and upgraded from traditional industries to high-end intelligent manufacturing industries. China's scientific and technological revolution is ongoing and fruitful. Chinese industrial enterprises are also ambitious and attach great importance to technological improvement and management quality control and improvement. More and more high-tech talents are entering large and medium-sized high-tech enterprises in various fields in China. They are young and have a wealth of knowledge and management skills. They will enhance the quality management level of enterprises after practice in the actual work. In this process, enterprises pay more attention to the quality and quality control of products. Response surface method is an important method in quality control technology. Multiple Response Surface problem (MRO) is an important class of response surface methods. Aiming at a kind of MRO problem in engineering, the engineering background of this kind of problem is analyzed firstly, and then the corresponding mathematical model is analyzed and discussed. Combined with the optimization technology, the objective function and constraint conditions are properly processed. Then the non-monotone trust region algorithm is applied to deal with the multi-peak function and the optimal design results of the problem are obtained. Compared with the calculation results of other methods, the results are significantly improved.

Published in	Asia-Pacific Journal of Management Science and Engineering (Volume 2, Issue 1)
Page(s)	1-7
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2023. Published by Science Publishing Group

Keywords

Response Surface Method, Quality Control, Non-Monotone Trust Region Algorithm, Overall Satisfaction Function

References

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[2]	闻邦椿, 张国忠, 柳洪义. 面向产品广义质量的综合设计理论与方法 [Ｍ]．北京: 科学出版社, 2007.
[3]	罗国勋. 质量管理与可靠性 [M]. 北京：高等教育出版社, 2005.
[4]	W. Y. Sun and Y. X. Yuan, Optimization Theory and Methods: Nonlinear Programming. New York: Springer, 2006.
[5]	Derringer, G. and Suich, R. (1980). Simultaneous optimization of several response variables. Journal of Quality Technology, 12 (4): 214–219.
[6]	Derringer, G. (1994). A balancing act: optimizing a product’s properties. Quality Progress, 6: 51–58.
[7]	He, Z., Wang, J., Oh, J. and Park, S. H. (2010). Robust optimization for multiple responses using response surface methodology. Applied Stochastic Models in Business and Industry, 26 (2): 157–171.
[8]	Goethals, P. L., Cho, B. R.,. The development of a robust design methodology for time-oriented dynamic quality characteristics with a target profile. Quality and Reliability Engineering International, 27 (4) (2011): 403–414.
[9]	Khuri, A. I. and Conlon, M. (1981). Simultaneous optimization of multiple responses represented by polynomial regression functions. Technometrics, 23 (4),: 363–375.
[10]	Kim, K. and Lin, D. (2000). Simultaneous optimization of multiple responses by maximizing exponential desirability functions. Applied Statistics (Journal of the Royal Statistical Society: Series C), 49 (3): 311–325.
[11]	Kim, K. and Lin, D. (2006). Optimization of multiple responses considering both location and dispersion effects. European Journal of Operational Research, 169 (1): 133–145.
[12]	Montgomery, D. C., Design and Analysis of Experiments (sixth ed). New York: Wiley, 2005.
[13]	Myers, R. H. and Montgomery, D. C., Response Surface Methodology: Process and Product Optimization Using Designed Experiments (second ed). New York: Wiley, 2002.
[14]	Pignatiello, J. J. (1993). Strategies for robust multiresponse quality engineering. IIE Transactions, 25 (3): 5–15.
[15]	Zhen He, Peng-fei Zhu and Sung-Hyun Park. (2012). A robust desirability function method for multi-response surface optimization considering model uncertainty, European Journal of Operational Research, 221 (1): 241–247.

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APA Style

Li Zhang, Nguyen The Kien. (2023). Models of Multi-Response Optimization Design and Applications. Asia-Pacific Journal of Management Science and Engineering, 2(1), 1-7.

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ACS Style

Li Zhang; Nguyen The Kien. Models of Multi-Response Optimization Design and Applications. Asia-Pac. J. Manag. Sci. Eng. 2023, 2(1), 1-7.

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AMA Style

Li Zhang, Nguyen The Kien. Models of Multi-Response Optimization Design and Applications. Asia-Pac J Manag Sci Eng. 2023;2(1):1-7.

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@article{10077952,
  author = {Li Zhang and Nguyen The Kien},
  title = {Models of Multi-Response Optimization Design and Applications},
  journal = {Asia-Pacific Journal of Management Science and Engineering},
  volume = {2},
  number = {1},
  pages = {1-7},
  url = {https://www.sciencepublishinggroup.com/article/10077952},
  abstract = {With the rapid development of science and technology and the continuous intensification of globalization, many industries in China have been continuously transformed and upgraded from traditional industries to high-end intelligent manufacturing industries. China's scientific and technological revolution is ongoing and fruitful. Chinese industrial enterprises are also ambitious and attach great importance to technological improvement and management quality control and improvement. More and more high-tech talents are entering large and medium-sized high-tech enterprises in various fields in China. They are young and have a wealth of knowledge and management skills. They will enhance the quality management level of enterprises after practice in the actual work. In this process, enterprises pay more attention to the quality and quality control of products. Response surface method is an important method in quality control technology. Multiple Response Surface problem (MRO) is an important class of response surface methods. Aiming at a kind of MRO problem in engineering, the engineering background of this kind of problem is analyzed firstly, and then the corresponding mathematical model is analyzed and discussed. Combined with the optimization technology, the objective function and constraint conditions are properly processed. Then the non-monotone trust region algorithm is applied to deal with the multi-peak function and the optimal design results of the problem are obtained. Compared with the calculation results of other methods, the results are significantly improved.},
 year = {2023}
}

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TY  - JOUR
T1  - Models of Multi-Response Optimization Design and Applications
AU  - Li Zhang
AU  - Nguyen The Kien
Y1  - 2023/03/09
PY  - 2023
T2  - Asia-Pacific Journal of Management Science and Engineering
JF  - Asia-Pacific Journal of Management Science and Engineering
JO  - Asia-Pacific Journal of Management Science and Engineering
SP  - 1
EP  - 7
PB  - Science Publishing Group
UR  - http://www.sciencepg.com/article/10077952
AB  - With the rapid development of science and technology and the continuous intensification of globalization, many industries in China have been continuously transformed and upgraded from traditional industries to high-end intelligent manufacturing industries. China's scientific and technological revolution is ongoing and fruitful. Chinese industrial enterprises are also ambitious and attach great importance to technological improvement and management quality control and improvement. More and more high-tech talents are entering large and medium-sized high-tech enterprises in various fields in China. They are young and have a wealth of knowledge and management skills. They will enhance the quality management level of enterprises after practice in the actual work. In this process, enterprises pay more attention to the quality and quality control of products. Response surface method is an important method in quality control technology. Multiple Response Surface problem (MRO) is an important class of response surface methods. Aiming at a kind of MRO problem in engineering, the engineering background of this kind of problem is analyzed firstly, and then the corresponding mathematical model is analyzed and discussed. Combined with the optimization technology, the objective function and constraint conditions are properly processed. Then the non-monotone trust region algorithm is applied to deal with the multi-peak function and the optimal design results of the problem are obtained. Compared with the calculation results of other methods, the results are significantly improved.
VL  - 2
IS  - 1
ER  -

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Author Information

Li Zhang

School of Mathematics and Statistics, Changshu Institute of Technology, Suzhou, China
Nguyen The Kien

Faculty of Development Economics, University of Business and Economics, Vietnam National University (VNU), Hanoi, Vietnam

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APA Style

Li Zhang, Nguyen The Kien. (2023). Models of Multi-Response Optimization Design and Applications. Asia-Pacific Journal of Management Science and Engineering, 2(1), 1-7.

Copy | Download

ACS Style

Li Zhang; Nguyen The Kien. Models of Multi-Response Optimization Design and Applications. Asia-Pac. J. Manag. Sci. Eng. 2023, 2(1), 1-7.

Copy | Download

AMA Style

Li Zhang, Nguyen The Kien. Models of Multi-Response Optimization Design and Applications. Asia-Pac J Manag Sci Eng. 2023;2(1):1-7.

Copy | Download

@article{10077952,
  author = {Li Zhang and Nguyen The Kien},
  title = {Models of Multi-Response Optimization Design and Applications},
  journal = {Asia-Pacific Journal of Management Science and Engineering},
  volume = {2},
  number = {1},
  pages = {1-7},
  url = {https://www.sciencepublishinggroup.com/article/10077952},
  abstract = {With the rapid development of science and technology and the continuous intensification of globalization, many industries in China have been continuously transformed and upgraded from traditional industries to high-end intelligent manufacturing industries. China's scientific and technological revolution is ongoing and fruitful. Chinese industrial enterprises are also ambitious and attach great importance to technological improvement and management quality control and improvement. More and more high-tech talents are entering large and medium-sized high-tech enterprises in various fields in China. They are young and have a wealth of knowledge and management skills. They will enhance the quality management level of enterprises after practice in the actual work. In this process, enterprises pay more attention to the quality and quality control of products. Response surface method is an important method in quality control technology. Multiple Response Surface problem (MRO) is an important class of response surface methods. Aiming at a kind of MRO problem in engineering, the engineering background of this kind of problem is analyzed firstly, and then the corresponding mathematical model is analyzed and discussed. Combined with the optimization technology, the objective function and constraint conditions are properly processed. Then the non-monotone trust region algorithm is applied to deal with the multi-peak function and the optimal design results of the problem are obtained. Compared with the calculation results of other methods, the results are significantly improved.},
 year = {2023}
}

Copy | Download

TY  - JOUR
T1  - Models of Multi-Response Optimization Design and Applications
AU  - Li Zhang
AU  - Nguyen The Kien
Y1  - 2023/03/09
PY  - 2023
T2  - Asia-Pacific Journal of Management Science and Engineering
JF  - Asia-Pacific Journal of Management Science and Engineering
JO  - Asia-Pacific Journal of Management Science and Engineering
SP  - 1
EP  - 7
PB  - Science Publishing Group
UR  - http://www.sciencepg.com/article/10077952
AB  - With the rapid development of science and technology and the continuous intensification of globalization, many industries in China have been continuously transformed and upgraded from traditional industries to high-end intelligent manufacturing industries. China's scientific and technological revolution is ongoing and fruitful. Chinese industrial enterprises are also ambitious and attach great importance to technological improvement and management quality control and improvement. More and more high-tech talents are entering large and medium-sized high-tech enterprises in various fields in China. They are young and have a wealth of knowledge and management skills. They will enhance the quality management level of enterprises after practice in the actual work. In this process, enterprises pay more attention to the quality and quality control of products. Response surface method is an important method in quality control technology. Multiple Response Surface problem (MRO) is an important class of response surface methods. Aiming at a kind of MRO problem in engineering, the engineering background of this kind of problem is analyzed firstly, and then the corresponding mathematical model is analyzed and discussed. Combined with the optimization technology, the objective function and constraint conditions are properly processed. Then the non-monotone trust region algorithm is applied to deal with the multi-peak function and the optimal design results of the problem are obtained. Compared with the calculation results of other methods, the results are significantly improved.
VL  - 2
IS  - 1
ER  -

Copy | Download