Advanced SearchSearch Tips
Hybrid Approach When Multiple Objectives Exist
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
Hybrid Approach When Multiple Objectives Exist
Kim, Young-Il; Lim, Yong-Bin;
  PDF(new window)
When multiple objectives exist, there are three approaches exist. These are maximin design, compound design, and constrained design. Still, each of three design criteria has its own strength and weakness. In this paper Hybrid approach is suggested when multiple design objectives exist, which is a combination of maximin and constrained design. Sometimes experimenter has several objectives, but he/she has only one or two primary objectives, others less important. A new approach should be useful under this condition. The genetic algorithm is used for few examples. It has been proven to be a very useful technique for this complex situation. Conclusion follows.
Optimal design;criteria;compound design;maximin design;constrained design;hybrid approach;genetic algorithm;
 Cited by

Communications for Statistical Applications and Methods, 2009. vol.16. 2, pp.299-308 crossref(new window)
다중 외삽점에서의 최적 실험설계법을 위한 실험설계기준,김영일;장대흥;

응용통계연구, 2014. vol.27. 5, pp.693-703 crossref(new window)
비선형모형에 적용한 제약조건 최적실험의 예제들,김영일;장대흥;이성백;

응용통계연구, 2014. vol.27. 7, pp.1151-1161 crossref(new window)
다항회귀모형에서의 추가받힘점 선택,김영일;장대흥;

Journal of the Korean Data and Information Science Society, 2014. vol.25. 6, pp.1491-1498 crossref(new window)
Some Criteria for Optimal Experimental Design at Multiple Extrapolation Points, Korean Journal of Applied Statistics, 2014, 27, 5, 693  crossref(new windwow)
Selection of extra support points for polynomial regression, Journal of the Korean Data and Information Science Society, 2014, 25, 6, 1491  crossref(new windwow)
Some Examples of Constrained Optimal Experimental Design for Nonlinear Models, Korean Journal of Applied Statistics, 2014, 27, 7, 1151  crossref(new windwow)
강명욱, 김영일 (2002), Multiple constrained optimal experimental design. 한국통계학회논문집, 9, 619-627

강명욱, 김영일 (2006), Strategical issues in multiple-objective optimal expeerimental design. 한국통계학회논문집, 13, 1-10

염준근, 남기성 (2000), A study on D-optimal design using the genetic algorithm. 한국통계학회논문집, 7, 357-366

Box, G. E. P. and Draper, N. R. (1975). A basis for the selection of a response surface design. Journal of the American Statistical Association, 54, 622-654 crossref(new window)

Cook, R. D. and Fedorov, V. V. (1995). Constrained optimization of experimental design (with discussion). Statistics, 26, 129-178 crossref(new window)

Cook, R. D. and Wong, W. K. (1994). On the equivalence between constrained and compound optimal designs. Journal of the American Statistical Association, 89, 687-692 crossref(new window)

Fedorov, V. V. (1972). Theory of Optimal Experiments. Translated and edited by W. J. Studden and E. M. Klimko, Academic Press, New York

Kiefer, J. (1959). Optimum experimental design. Journal of the Royal Statistical Society, Ser. B, 21, 272-319

Huang, Y. C. (1996). Multiple-objective optimal designs. Doctor of Public Health Dissertation, Department of Biostatistics, School of Public Health, UCLA

Huang, Y. C. and Wong, W. K. (1998). Multiple-objective designs. Journal of Biopharmaceutical Statistics, 8, 635-643 crossref(new window)

Imhof, L. and Wong, W. K. (2000). A graphical method for finding maximin designs. Biometrics, 56, 113-117 crossref(new window)

Lauter, E. (1974). Experimental planning in a class of models. Mathematishe Operationsforshung und Statistik, 5, 673-708

Park, Y. J., Montgomery, D. C., Folwer, J. W. and Borror, C. M. (2005). Costconstrained G-efficient response surface designs for cuboidal regions. Quality and Reliability Engineering International, 22, 121-139 crossref(new window)

Pukelsheim, F. (1993). Optimal Design of Experiments. John Wiley & Sons, New York. Silvey, S. D. (1980). Optimal Design. Chapman & Hall/CRC

Stigler, S. M. (1971). Optimal experimental design for polynomial regression. Journal of the American Statistical Association, 66, 311-318 crossref(new window)

Studden, W. J. (1982). Some robust type D-optimal designs in polynomial regression. Journal of the American Statistical Association, 77, 916-921 crossref(new window)

Wong, W. K. (1995). A graphical approach for constructing constrained D- and Loptimal designs using efficiency plot. Journal of Statistical Simulation and Computations, 53, 143-152 crossref(new window)

Wong, W. K. (1999). Recent advances in multiple-objective design strategies. Statistica Neerlandica, 53, 257-276 crossref(new window)