DOI QR코드

DOI QR Code

A Study on Sequential Design of Experiments Using Non-Central Composite Designs

비중심합성계획을 이용한 순차적 실험방법에 관한 연구

  • Shin, Byung-Cheol (Department of Industrial and Systems Engineering, Gyeongsang National University) ;
  • Byun, Jai-Hyun (Department of Industrial and Systems Engineering, Gyeongsang National University) ;
  • Yun, Tae Hong (Production Operating Division, Vietnam)
  • 신병철 (경상대학교 산업시스템공학부) ;
  • 변재현 (경상대학교 산업시스템공학부) ;
  • 윤태홍 (CS 베어링 베트남 법인)
  • Received : 2021.01.03
  • Accepted : 2021.03.05
  • Published : 2021.03.31

Abstract

Purpose: A noncentral composite design method is to be developed to explore farther region for the first factorial design. A general guideline for sequential experimentation is provided. Methods: (1) A non-overlapping noncentral composite design (NNCD) is developed, in which the second factorial design shares one design point that indicates the best response value in the first factorial design. (2) Four composite designs are compared in terms of the four design evaluation criteria, which are D-, A, G, and I-optimality. (3) A follow-up design strategy is suggested based on the interaction effect, direction of improvement, number of factors. Results: (1) NNCD and model building method are presented, which is useful for exploring farther region from first factorial design block. (2) The performances of the four composite designs are compared. (3) A follow-up design strategy is suggested. Conclusion: (1) NNCD will be useful to explore farther region for the first factorial design. (2) A follow-up design strategy can be beneficial to the experimental practitioners for product and process design and improvement.

Keywords

References

  1. Box, G. E. P. 1954 The Exploration and Exploitation of Response Surfaces: Some General Considerations and Examples. Biometrics 10:16-60. https://doi.org/10.2307/3001663
  2. Box, G. E. P. 1992. Sequential Experimentation and Sequential Assembly of Designs. Quality Engineering 5:321-330. https://doi.org/10.1080/08982119208918971
  3. Box, G. E. P., and Wilson, K. B. 1951. On the Experimental Attainment of Optimum Conditions. Journal of Royal Statistical Society, Series B. 13:1-45.
  4. Box, G. E. P., Hunter, J. S., and Hunter, W. G. 2005. Statistics for Experimenters - Design, Innovation, and Discovery, 2nd Ed., Wiley, New York.
  5. Byun, J. -H., Jung, C. -S., Kim, D., and Park, K. -H. 2019. Case Study of Enhancing Flame Retardancy of Mixture Material. Journal of Korean Society for Quality Management 47(3):631-639. https://doi.org/10.7469/JKSQM.2019.47.3.631
  6. Chung, J. H. and Lim, Y. B. 2020. Efficient Designs to Develop a Design Space in Mixture Response Surface Analysis. Journal of Korean Society for Quality Management 48(2):269-282. https://doi.org/10.7469/JKSQM.2020.48.2.269
  7. Edwards, D. J. and Fuerte, J. N. 2011. Compromise Ascent Directions for Multiple-Response Applications. Quality and Reliability Engineering International 27:1107-1118. https://doi.org/10.1002/qre.1199
  8. Lee, H. J., Kim, Y. C., and Shin, S. 2020. Optimal Parameter Design for a Cryogenic Submerged Arc Welding(SAW) Process by Utilizing Stepwise Experimental Design and Multi-dimensional Design Space Analysis. Journal of Korean Society for Quality Management 48(1):51-68. https://doi.org/10.7469/JKSQM.2020.48.1.51
  9. Lucas, J. M. 1974. Optimum Composite Designs. Technometrics 16:561-567. https://doi.org/10.1080/00401706.1974.10489238
  10. Mee, R. W. 2001. Noncentral Composite Designs. Technometrics 44(1):34-43. https://doi.org/10.1198/004017002753398308
  11. Mee, R. W. 2009. A Comprehensive Guide to Factorial Two-Level Experimentation, Springer, New York.
  12. Myers, R. H., Montgomery, D. C., and Anderson-Cook, C. M. 2009. Response Surface Methodology: Process and Product Optimization Using Designed Experiments, 3rd ed., Wiley, New York.
  13. Vining, G. G. 2011. Technical Advice: Design of Experiments, Response Surface Methodology, and Sequential Experimentation. Quality Engineering 23:217-220. https://doi.org/10.1080/15226514.2011.555280