Research Article

OPTIMIZATION AND DECISION MAKING STAGES FOR ANALYSIS OF DUAL RESPONSE PROBLEM: MEDIAN-MAD, NSGA-II, TOPSIS

Volume: 20 Number: 4 December 30, 2019
Özlem Türkşen *, Ahmet Kocatürk , Gözde Karakoç
EN

OPTIMIZATION AND DECISION MAKING STAGES FOR ANALYSIS OF DUAL RESPONSE PROBLEM: MEDIAN-MAD, NSGA-II, TOPSIS

Abstract

The purpose of this study is to obtain a proper set of input variables for replicated response measured data set by applying dual response strategy in robust framework with multi-objective perspective. The replicated response measures were transformed to dual response by using robust statistics, median (MED) and median absolute deviation (MAD), instead of mean-standard deviation statistics which were very commonly used in many existing studies. A compromise solution of proposed robust dual response model was obtained via a multi-criteria decision making approach since the optimization was achieved in multi-objective point of view. In this study, well-known two methods, NSGA-II and TOPSIS, were preferred for optimization and decision making stages, respectively. Quality of printing ink data set was used an application from the literature. It is seen from the analysis results that the performance of the proposed robust dual response model was encouraging with the most satisfactory input settings.

Keywords

Replicated response measures, Dual response problem, Robust statistics, Multiobjective optimization, Multi-criteria decision making

References

  1. Myers RH, Carter WH. Response surface techniques for dual response systems. Technometrics 1973; 15(2): 301-317.
  2. Vining GG, Myers RH. Combining Taguchi and response surface philosophies: a dual response approach. Journal of Quality Technology 1990; 22: 38-45.
  3. Lin DKJ, Tu W. Dual Response Surface Optimization. Journal of Quality Technology 1995; 27(1): 34-39.
  4. Copeland KAF, Nelson PR. Dual Response Optimization via Direct Function Minimization. Journal of Quality Technology 1996; 28(3): 331-336.
  5. Del Castillo E. Multiresponse Process Optimization via Constrained Confidence Regions. Journal of Quality Technology 1996; 28(1): 61-70.
  6. Kim KJ, Lin DKJ. Dual Response Surface Optimization: A Fuzzy Modeling Approach. Journal of Quality Technology 1998; 30(1): 1-10.
  7. Khoo LP, Chen CH. Integration of response surface methodology with genetic algorithms. The International Journal of Advanced Manufacturing Technology 2001; 18(7): 483-489.
  8. Ding R, Lin DK, Wei D. Dual-response surface optimization: A weighted MSE approach. Quality engineering 2004; 16(3): 377-385.
  9. Jeong IJ, Kim KJ, Chang SY. Optimal weighting of bias and variance in dual response surface optimization. Journal of Quality Technology 2005; 37(3): 236-247.
  10. Shaibu AB, Cho BR. Another view of dual response surface modeling and optimization in robust parameter design. The International Journal of Advanced Manufacturing Technology 2009; 41: 631-641.
APA
Türkşen, Ö., Kocatürk, A., & Karakoç, G. (2019). OPTIMIZATION AND DECISION MAKING STAGES FOR ANALYSIS OF DUAL RESPONSE PROBLEM: MEDIAN-MAD, NSGA-II, TOPSIS. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering, 20(4), 458-473. https://doi.org/10.18038/estubtda.515702
AMA
1.Türkşen Ö, Kocatürk A, Karakoç G. OPTIMIZATION AND DECISION MAKING STAGES FOR ANALYSIS OF DUAL RESPONSE PROBLEM: MEDIAN-MAD, NSGA-II, TOPSIS. Estuscience - Se. 2019;20(4):458-473. doi:10.18038/estubtda.515702
Chicago
Türkşen, Özlem, Ahmet Kocatürk, and Gözde Karakoç. 2019. “OPTIMIZATION AND DECISION MAKING STAGES FOR ANALYSIS OF DUAL RESPONSE PROBLEM: MEDIAN-MAD, NSGA-II, TOPSIS”. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering 20 (4): 458-73. https://doi.org/10.18038/estubtda.515702.
EndNote
Türkşen Ö, Kocatürk A, Karakoç G (December 1, 2019) OPTIMIZATION AND DECISION MAKING STAGES FOR ANALYSIS OF DUAL RESPONSE PROBLEM: MEDIAN-MAD, NSGA-II, TOPSIS. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering 20 4 458–473.
IEEE
[1]Ö. Türkşen, A. Kocatürk, and G. Karakoç, “OPTIMIZATION AND DECISION MAKING STAGES FOR ANALYSIS OF DUAL RESPONSE PROBLEM: MEDIAN-MAD, NSGA-II, TOPSIS”, Estuscience - Se, vol. 20, no. 4, pp. 458–473, Dec. 2019, doi: 10.18038/estubtda.515702.
ISNAD
Türkşen, Özlem - Kocatürk, Ahmet - Karakoç, Gözde. “OPTIMIZATION AND DECISION MAKING STAGES FOR ANALYSIS OF DUAL RESPONSE PROBLEM: MEDIAN-MAD, NSGA-II, TOPSIS”. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering 20/4 (December 1, 2019): 458-473. https://doi.org/10.18038/estubtda.515702.
JAMA
1.Türkşen Ö, Kocatürk A, Karakoç G. OPTIMIZATION AND DECISION MAKING STAGES FOR ANALYSIS OF DUAL RESPONSE PROBLEM: MEDIAN-MAD, NSGA-II, TOPSIS. Estuscience - Se. 2019;20:458–473.
MLA
Türkşen, Özlem, et al. “OPTIMIZATION AND DECISION MAKING STAGES FOR ANALYSIS OF DUAL RESPONSE PROBLEM: MEDIAN-MAD, NSGA-II, TOPSIS”. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering, vol. 20, no. 4, Dec. 2019, pp. 458-73, doi:10.18038/estubtda.515702.
Vancouver
1.Özlem Türkşen, Ahmet Kocatürk, Gözde Karakoç. OPTIMIZATION AND DECISION MAKING STAGES FOR ANALYSIS OF DUAL RESPONSE PROBLEM: MEDIAN-MAD, NSGA-II, TOPSIS. Estuscience - Se. 2019 Dec. 1;20(4):458-73. doi:10.18038/estubtda.515702