Skip to content
Research Article Peer ReviewedAt least two reviewers Open Access

Development of a Dual Response Optimization Model under Non-standard Experimental Design Situations

1Bayburt University
✉ Corresponding author: Akın Özdemir · akinozdemir@bayburt.edu.tr
PDF BibTeX RIS

References

  1. J. J. Borkowski, “A comparison of prediction variance criteria for response surface designs,” J. Qual. Technol., vol. 35(1), pp. 70-77, 2003.
  2. G. E. P. Box and N. R. Draper, “The choice of a second order rotatable design,” Biometrika, vol. 50(3/4): pp. 335-352, 1963.
  3. N. R. Draper, “Center points in second-order response surface designs,” Technometrics, vol. 24(2), pp. 127-133, 1982.
  4. G. E. P. Box and N. R. Draper, “A basis for the selection of response surface design,” J. Am. Stat. Assoc., vol. 54(287): pp. 622-654, 1959.
  5. T. T. Allen and S. H. Tseng, “Variance plus bias optimal response surface designs with qualitative factors applied to stem choice modeling,” Qual. Reliab. Eng. Int., vol. 27(8), pp. 1199-1210, 2011.
  6. H. H. Toro Díaz HH, H. L. Chan HL, and B. R. Cho, “Optimally designing experiments under non-standard experimental situations,” International Journal of Experimental Design and Process Optimisation, vol. 3(2), pp. 133-158, 2012.
  7. R. H. Myers, D. C. Montgomery, and C. M. Anderson-Cook, Response Surface Methodology: Process and Product Optimization Using Designed Experiments (Wiley Series in Probability and Statistics), Hoboken, NJ: Wiley, 2016.
  8. G. Taguchi, Introduction to Quality Engineering, UNIPUB/Kraus International: White Plains, NY; 1986.
  9. G. G. Vining and R. H. Myers, “Combining Taguchi and response surface philosophies: a dual response approach,” J. Qual. Technol., vol. 22(1), pp. 38-45, 1990.
  10. Y. Fathi, “A nonlinear programming approach to the parameter design problem,” Eur. J. Oper. Res., vol. 53(3), pp. 371-381, 1991.
  11. E. Del Castillo and D. C. Montgomery, “A nonlinear programming solution to the dual response problem,” J. Qual. Technol., vol. 25(3), pp. 199-204, 1993.
  12. D. K. Lin and W. Tu, “Dual response surface optimization,” J. Qual. Technol., vol. 27(1), pp. 34-39, 1995.
  13. K. A. Copeland and P. R. Nelson, “Dual response optimization via direct function minimization,” J. Qual. Technol., vol. 28(3), pp. 331-336, 1996.
  14. D. M. Steinberg and D. Bursztyn, “Noise factors, dispersion effects, and robust design,” Stat. Sinica, vol. 8(1), pp. 67-85, 1998.
  15. T. J. Robinson and C. M. Anderson-Cook, “A closer look at D-optimality for screening designs,” Qual. Eng., vol. 23(1), pp. 1-14, 2010.
  16. G. J. Park, T. H. Lee, K. H. Lee, and K. H. Hwang, “Robust design: an overview,” AIAA J., vol. 44(1), pp. 181-191, 2006.
  17. M. Arvidsson and I. Gremyr, “Principles of robust design methodology,” Qual. Reliab. Eng. Int., vol. 24(1), pp. 23-35, 2008.
  18. L. Ouyang, Y. Ma, J. H. Byun, J. Wang, and Y. Tu, “An interval approach to robust design with parameter uncertainty,” Int. J. Prod. Res., vol. 54(11), pp. 3201-3215, 2016.
  19. A. Ozdemir and B. R. Cho, “A Nonlinear integer programming approach to solving the robust parameter design optimization problem,” Qual. Reliab. Eng. Int., vol. 32(8), pp. 2859-2870, 2016.
  20. A. Ozdemir and B. R. Cho, “Response surface-based robust parameter design optimization with both qualitative and quantitative variables.” Eng. Optimiz., vol. 49(10), pp. 1796-1812, 2017.
  21. A. Ozdemir and B. R. Cho, “Response surface optimization for a nonlinearly constrained irregular experimental design space,” Eng. Optimiz., vol. 51(12), pp. 2030-2048, 2019.
  22. T. N. Tsai and M. Liukkonen, “Robust parameter design for the micro-BGA stencil printing process using a fuzzy logic-based Taguchi method,” Appl. Soft Comput., vol. 48, pp. 124-136, 2016.
  23. A. Hot, T. Weisser, and S. Cogan, “An info-gap application to robust design of a prestressed space structure under epistemic uncertainties,” Mech. Syst. Signal Pr., vol. 91, pp. 1-9, 2017.
  24. Y. Lu, S. Wang, C. Yan, and Z. Huang, “Robust optimal design of renewable energy system in nearly/net zero energy buildings under uncertainties,” Appl. Energ., vol. 187, pp. 62-71, 2017.
  25. K. Chatterjee, K. Drosou, S. D. Georgiou, and C. Koukouvinos, “Response modelling approach to robust parameter design methodology using supersaturated designs,” J. Qual. Technol., vol. 50(1), pp. 66-75, 2018

Cited by

0 — Crossref — cited-by count (retrieved 2 Oct 2026, source)

Citation counts are shown with their source and retrieval date. They are not an Impact Factor or any journal-level metric.

Research Contributions (2019+)Peer reviewed by at least two reviewers
Open AccessCC BY 4.0
Open Discovery Metadata · DOI · OAI-PMH
Global Reachresearchers worldwide