Robust optimization for multiple responses using response surface methodology

Applied Stochastic Models in Business and Industry

Volumn 26, Issue 2, 2010, Pages 157-171

  He, Zhen ^a   Wang, Jing ^a   Oh, Jinho ^b   Park, Sung H ^b  

^a TIANJIN UNIVERSITY   (China)

^b Seoul National University   (South Korea)

Author keywords

Multiple response; Optimization desirability function; Response surface methodology; Robust optimization; Robustness desirability function; Simplex search method

Indexed keywords

DESIRABILITY FUNCTION; MULTIPLE RESPONSE OPTIMIZATION; RESPONSE SURFACE METHODOLOGY; ROBUST OPTIMIZATION; SIMPLEX SEARCH METHOD;

SURFACE PROPERTIES;

OPTIMIZATION;

EID: 77950787465     PISSN: 15241904     EISSN: 15264025     Source Type: Journal    
DOI: 10.1002/asmb.788     Document Type: Article

References (20)

1. Box GEP, Wilson KB. On the experimental attainment of optimum conditions. Journal of the Royal Statistical Society 1951; 13: 1-45.
2. Khuri AI, Cornell JA. Response Surfaces: Designs and Analyses (2nd edn). Marcel Dekker: New York, 1996.
3. Park SH. Robust Design and Analysis for Quality Engineering. Chapman & Hall: London, 1996.
4. Myers RH. Response surface methodology-current status and future directions. Journal of Quality Technology 1999; 31: 30-44.
5. Myers RH, Montgomery DC. Response Surface Methodology: Process and Product Optimization Using Designed Experiments (2nd edn). Wiley: New York, 2002.
6. Myers RH, Montgomery DC, Vining GG, Borror CM, Kowalski SM. Response surface methodology: a retrospective and literature survey. Journal of Quality Technology 2004; 36: 53-77.
7. Carlyle WM, Montgomery DC, Runger GC. Optimization problems and methods in quality control and improvement. Journal of Quality Technology 2000; 32: 1-17.
8. Spendley W, Hext GR, Himsworth FR. Sequential application of simplex designs in optimization and evolutionary operation. Technometrics 1962; 4: 441-461.
9. Lind EE, Goldin J, Hickman JB. Fitting yield and cost response surfaces. Chemical Engineering Process 1960; 56: 62-68.
10. Derringer GC, Suich R. Simultaneous optimization of several response variables. Journal of Quality Technology 1980; 12: 214-219.
11. Derringer GC. A balancing act: optimization a product's properties. Quality Progress 1994; 27: 51-58.
12. DelCastillo E, Montgomery DC, McCarville DR. Modified desirability function for multiple response optimization. Journal of Quality Technology 1996; 28: 337-345. (Pubitemid 126586417)
13. Park SH, Park JU. Simultaneous optimization of multiple response using weighted desirability function. Journal of the Korean Society for Quality Management 1997; 25: 56-68.
14. Kim KJ, Lin DKJ. Simultaneous optimization of mechanical properties of steel by maximizing exponential desirability functions. Applied Statistics 2000; 49: 311-325.
15. Jeong IJ, Kim KJ. Interactive desirability function approach to multi-response surface optimization. International Journal of Reliability, Quality and Safety Engineering 2003; 10: 205-217.
16. Khuri AI, Conlon M. Simultaneous optimization of multiple responses represented by polynomial regression functions. Technometrics 1981; 23: 363-375. (Pubitemid 12456652)
17. Taguchi G. Introduction to Quality Engineering. Asian Productivity Organization: Tokyo, 1986.
18. Pignatiello JJ. Strategies for robust multiresponse quality engineering. IIE Transaction 1993; 25: 5-15.
19. Vining GG. A compromise approach to multiresponse optimization. Journal of Quality Technology 1998; 30: 309-313.
20. Ko YH, Kim KJ, Jun CH. A new loss function-based method for multiresponse optimization. Journal of Quality Technology 2005; 37: 50-59. (Pubitemid 40608804)