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http://dx.doi.org/10.7469/JKSQM.2011.39.3.377

Multiresponse Optimization: A Literature Review and Research Opportunities  

Jeong, In-Jun (Division of Broadcasting and Spectrum Policy, Korea Information Society Development Institute)
Publication Information
Journal of Korean Society for Quality Management / v.39, no.3, 2011 , pp. 377-390 More about this Journal
Abstract
A common problem encountered in product or process design is the selection of optimal parameter levels which involves simultaneous consideration of multiple response variables. This is called a multiresponse problem. A multiresponse problem is solved through three major stages: data collection, model building, and optimization. Up to date, various methods have been proposed for the optimization, including the desirability function approach and loss function approach. In this paper, the existing studies in multiresponse optimization are reviewed and a future research direction is then proposed.
Keywords
Response Surface Methodology; Multiple Responses; Optimization; Review; Future Research Direction;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 Romano, D., Varetto, M., and Vicario, G.(2004), "Multiresponse Robust Design: A General Frame work Based on Combined Array", Journal of Quality Technology, Vol. 36, pp. 27-37.
2 Peterson, J. J.(2004), "A Posterior Predictive Approach to Multiple Response Surface Optimization", Journal of Quality Technology, Vol. 36, pp. 139-153.
3 Pignatiello, J.(1993), "Strategies for Robust Multiresponse Quality Engineering", IIE Transactions, Vol. 25, pp. 5-15.
4 Plante, R. D.(1999), "Multicriteria Models for the Allocation of Design Parameter Targets", European Journal of Operational Research, Vol. 115, pp. 98-112.   DOI   ScienceOn
5 Montgomery, D. C. and Bettencourt, V. M., Jr.(1977), "Multiple Response Surface methods in Computer Simulation", Simulation, Vol. 29, pp. 113-121.   DOI
6 Myers, R. H. and Carter, W. H.(1973), "Response Surface Techniques for Dual Response Systems", Technometrics, Vol. 15, pp. 301-317.   DOI   ScienceOn
7 Myers, R. H. and Montgomery, D. C.(2002), Response Surface Methodology, 2nd Edition, John Wiley & Sons, New York.
8 Park, K. and Kim, K.(2005), "Optimizing Multi-Response Surface Problems: How to Use Multi-Objective Optimization Techniques", IIE Transactions, Vol. 37, pp. 523-532.   DOI   ScienceOn
9 Park, K., Kim, K., and Moskowitz, H.(2000), "Multi-Response Surface Optimization and Multi-Objective Optimization: Relationships and Directions", New Frontiers of Decision Making for the Information Technology Era (Eds. Shi and Zeleny), pp. 289-303, World Scientific Publishing, Singapore.
10 Peterson, J. J.(2000), "A Probability-Based Desirability Function for Multiresponse Optimization", Proceedings of the Section on Quality and Productivity (Annual Meeting of the American Statistical Association).
11 Lee, D., Kim, K., and Koksalan, M.(2011a), "A Posterior Preference Articulation Approach to Multiresponse Surface Optimization", European Journal of Operational Research, Vol. 210, pp. 301-309.   DOI   ScienceOn
12 Lee, D., Kim, K., and Koksalan, M.(2011b), "An Interactive Method to Multiresponse Surface Optimization Based on Pairwise Comparisons", IIE Transactions (To appear).
13 Liao, H.(2006), "Multi-Response Optimization using Weighted Principal Component", International Journal of Advanced Manufacturing Technology, Vol. 26, pp. 720-725.
14 Lind, E. E., Goldin, J., and Hickman, J. B.(1960), "Fitting Yield and Cost Response Surfaces", Chemical Engineering Progress, Vol. 56, pp. 62-68.
15 Logothetis, N. and Haigh, A.(1988), "Characterizing and Optimizing Multi-Response Processes by the Taguchi Method", Quality and Reliability Engineering International, Vol. 4, pp. 159-169.   DOI   ScienceOn
16 Lu, D. and Antony, J.(2002), "Optimization of Multiple Responses using a Fuzzy-Rule Based Inference System", International Journal of Production Research, Vol. 40, pp. 1613-1625.   DOI   ScienceOn
17 Maghsoodloo, S. and Chang, C.(2001), "Quadratic Loss Functions and Signal-to-Noise Ratios for a Bivariate Response", Journal of Manufacturing Systems, Vol. 20, pp. 1-12.   DOI   ScienceOn
18 Miettinen, K. M.(1999), Nonlinear Multiobjective Optimization, Kluwer, Boston.
19 Miro-Quesada, G., Del Castillo, E., and Peterson, J. J.(2004), "A Bayesian Approach for Multiple Response Surface Optimization in the Presence of Noise Variables", Journal of Applied Statistics, Vol. 31, pp. 251-270.   DOI
20 Mollaghasemi, M. and Evans, G. W.(1994), "Multicriteria Design of Manufacturing Systems through Simulation Optimization", IEEE Transactions on Systems, Man, and Cybernetics, Vol. 24, pp. 1407-1411.   DOI   ScienceOn
21 Koksalan, M. and Plante, R. D.(2003), "Interactive Multicriteria Optimization for Multiple-Response Product and Process Design", Manufacturing and Service Operations Management, Vol. 5, pp. 334-347.   DOI
22 Koksalan, M. and Sagala, P. N. S.(1995), "Interactive approaches for discrete alternative multiple criteria decision making with monotone utility functions", Management Science, Vol. 41, pp. 1158-1171.   DOI   ScienceOn
23 Kumar, P., Barua, P. B., and Gaindhar, J. L.(2000), "Quality Optimization (Multi-Characteristics) through Taguchi's Technique and Utility Concept", Quality and Reliability Engineering International, Vol. 16, pp. 475-485.   DOI   ScienceOn
24 Lamghabbar, A., Yacout, S., and Ouali, M. S.(2004), "Concurrent Optimization of the Design and Manufacturing Stages of Product Development", International Journal of Production Research, Vol. 42, pp. 4495-4512.   DOI   ScienceOn
25 Kumar, P. and Goel, P.(2002), "Product Quality Optimization Using Fuzzy Set Concepts: A Case Study", Quality Engineering, Vol. 15, pp. 1-8.   DOI   ScienceOn
26 Kwon, J., Lee, J., Lee, S., Jun, C., and Kim, K.(2005), "Multiresponse Optimization through A New Desirability Function Considering Process Parameter Fluctuation", Journal of the Korean Operations Research and Management Science Society, Vol. 30, pp. 95-104.
27 Lai, Y. and Chang, S.(1994), "A Fuzzy Approach for Multiresponse Optimization: An Off-Line Quality Engineering Problem", Fuzzy Sets and Systems, Vol. 63, pp. 117-129.   DOI   ScienceOn
28 Lee, D., Jeong, I., and Kim, K.(2010), "A Posterior Preference Articulation Approach to Dual Response Surface Optimization", IIE Transactions, Vol. 42, pp. 161-171.
29 Jeong, I. and Kim, K.(2003), "Interactive Desirability Function Approach to Multi-Response Surface Optimization", International Journal of Reliability, Quality and Safety Engineering, Vol. 10, pp. 205-217.   DOI   ScienceOn
30 Jeong, I. and Kim, K.(2005), "D-STEM: A Modified Step Method with Desirability Function Concept", Computers and Operations Research, Vol. 32, pp. 3175-3190.   DOI   ScienceOn
31 Jeong, I. and Kim, K.(2009), "An interactive desirability function method to multiresponse optimization", European Journal of Operational Research, Vol. 195, pp. 412-426.   DOI   ScienceOn
32 Khuri, A. I.(1996), "Multiresponse Surface Methodology", Handbook of Statistics: Design and Analysis of Experiment (Vol. 13) (eds. A. Ghosh and C. R. Rao), pp. 377-406.
33 Khuri, A. I. and Conlon, M.(1981), "Simultaneous Optimization of Multiple Responses Represented by Polynomial Regression Functions", Technometrics, Vol. 23, pp. 363-375.   DOI   ScienceOn
34 Khuri, A. I. and Cornell, J.(1996), Response Surfaces: Designs and Analyses, Dekker, New York.
35 Ko, Y., Kim, K., and Jun, C.(2005), "A New Loss Function-Based Method for Multiresponse Optimization", Journal of Quality Technology, Vol. 37, pp. 50-59.
36 Kim, K., Byun J., Min, D., and Jeong, I.(2002), "Multiresponse Surface Optimization: Concept, Methods, and Future Directions", Proceedings of the International Conference on Quality Management and Motivation for Organizational Development (QMOD), pp. 506-515.
37 Kim, K. and Lin, D.(2000), "Simultaneous Optimization of Mechanical Properties of Steel by Maximizing Exponential Desirability Functions", Journal of Royal Statistical Society-Series C, Vol. 49, pp. 311-325.   DOI   ScienceOn
38 Kim, K. and Lin, D.(2006), "Optimization of Multiple Responses Considering Both Location and Dispersion Effects", European Journal of Operational Research, Vol. 169, pp.133-145.   DOI   ScienceOn
39 Korhonen, P. J. and Laakso, J.(1986), "A Visual Interactive Method for Solving the Multiple Criteria Problem", European Journal of Operational Research, Vol. 24, pp. 277-287.   DOI   ScienceOn
40 Gupta, V. K., Assmus, M. W., Beckert, T. E., and Price, J. C.(2001), "A Novel pH- and Time-Based Multi-Unit Potential Colonic Drug Delivery System. II. Optimization of Multiple Response Variables", International Journal of Pharmaceutics, Vol. 213, pp. 93-102.   DOI
41 Haimes, Y. Y., Lasdon, L. S., and Wismer, D. A.(1971), "On a Bicriterion Formulation of the Problems of Integrated System Identification and System Optimization", IEEE Transactions on Systems, Man, and Cybernetics, Vol. 1, pp. 296-297.
42 Hamed, E. and Sakr, A.(2001), "Application of Multiple Response Optimization Technique to Extended Release Formulations Design", Journal of Controlled Release, Vol. 73, pp. 329-338.   DOI
43 Harrington, E., Jr.(1965), "The Desirability Function", Industrial Quality Control, Vol. 21, pp. 494-498.
44 Hill, W. J. and Hunter, W. G.(1966), "A Review of Response Surface Methodology: A Literature Survey", Technometrics, Vol. 8, pp. 571-590.   DOI   ScienceOn
45 Jayaram, J. S. R. and Ibrahim, Y.(1997), "Robustness for Multiple Response Problems Using a Loss Model", International Journal of Quality Science, Vol. 2, pp. 199-205.   DOI   ScienceOn
46 Huang, Y., Tsai, Y., Lee, S., Chang, J., and Wu, P.(2005), "Optimization of pH-Independent Release of Nicardipine Hydrochloride Extended-Release Matrix Tablets using Response Surface Methodology", International Journal of Pharmaceutics, Vol. 289, pp. 87-95.   DOI
47 Huang, Y., Tsai, Y., Yang, W., Chang, J., Wu, P., and Takayama, K.(2004), "Once-Daily Propranolol Extended-Release Tablet Dosage Form: Formulation Design and In Vitro/In Vivo Investigation", European Journal of Pharmaceutics and Biopharmaceutics, Vol. 58, pp. 607-614.   DOI   ScienceOn
48 Hwang, C. L., Masud, A. S. M., Paidy, S. R., and Yoon, K.(1979), Multiple Objective Decision Making-Methods and Applications (Lecture Notes in Economics and Mathematical Systems), Springer-Verlag, Berlin.
49 Collette, Y. and Siarry, P.(2003), Multiobjective Optimization: Principles and Case Studies, Springer-Verlag, Berlin.
50 Del Castillo, E.(1996), "Multiresponse Process Optimization via Constrained Confidence Regions", Journal of Quality Technology, Vol. 28, pp. 61-70.
51 Del Castillo, E., Montgomery, D. C., and McCarville, D. R.(1996), "Modified Desirability Functions for Multiple Response Optimization", Journal of Quality Technology, Vol. 28, pp. 337-345.
52 Derringer, G. and Suich, R.(1980), "Simultaneous Optimization of Several Response Variables", Journal of Quality Technology, Vol. 12, pp. 214-219.
53 Derringer, G.(June 1994), "A Balancing Act: Optimizing a Product's Properties", Quality Progress, pp. 51-57.
54 Elsayed, E. and Chen, A.(1993), "Optimal Level of Process Parameters for Products with Multiple Characteristics", International Journal of Production Research, Vol. 31, pp. 1117-1132.   DOI   ScienceOn
55 Figueira, J., Greco, S., and Ehrgott, M.(2005), Multiple Criteria Decision Analysis: State of the Art Surveys, Springer, New York.
56 Barton, R. S. and Tsui, K. L.(1991), "Multivariate Yield Maximization Using CAD/CAE Models: Efficient Approximations Based on Mean and Variance", Design Theory and Methodology (ASME), Vol. 31, pp. 31-35.
57 Geoffrion, A. M., Dyer, J. S., and Feinberg, A.(1972), "An Interactive Approach for Multi-Criterion Optimization with an Application to the Operation of an Academic Department", Management Science, Vol. 19, pp. 357-368.   DOI   ScienceOn
58 Antony, J.(2000), "Multi-Response Optimization in Industrial Experiments Using Taguch's Quality Loss Function and Principal Component Analysis", Quality and Reliability Engineering International, Vol. 16, pp. 3-8.   DOI   ScienceOn
59 Artiles-Leon, N.(1996), "A Pragmatic Approach to Multiple-Response Problems Using Loss Functions", Quality Engineering, Vol. 9, pp. 213-220.   DOI   ScienceOn
60 Benayoun, R., de Montgolfier, J., Tergny, J., and Larichev, O.(1971), "Linear Programming with Multiple Objective Functions: Step Method (STEM)", Mathematical Programming, Vol. 1, pp. 366-375.   DOI   ScienceOn
61 Biles, W. E.(1975), "A Response Surface Methods for Experimental Optimization of Multi-Response Processes", Industrial and Engineering Chemistry Process Design and Deployment, Vol. 14, pp. 152-158.   DOI   ScienceOn
62 Box, G. E. P. and Draper, N. R.(1987), Empirical Model Building and Response Surfaces, John Wiley & Sons, New York.
63 Boyle, C. R. and Shin, W. S.(1996), "An Interactive Multiple-Response Simulation Optimization Method", IIE Transactions, Vol. 28, pp. 453-462.   DOI   ScienceOn
64 Chen, L.(1997), "Designing Robust Products with Multiple Quality Characteristics", Computer and Operations Research, Vol. 24, pp. 937-944.   DOI   ScienceOn
65 Chiao, C. and Hamada, M.(2001), "Analyzing Experiments with Correlated Multiple Responses", Journal of Quality Technology, Vol. 33, pp. 451-465.
66 Ch'ng, C. K., Quah, S. H., and Low, H. C.(2005), "Index $Cpm^{\ast}$ in Multiple Response Optimization", Quality Engineering, Vol. 17, pp. 165-171.
67 Tong, L. and Su, C.(1997), "Optimizing Multi-Response Problems in the Taguchi Method by Fuzzy Multiple Attribute Decision Making", Quality and Reliability Engineering International, Vol. 13, pp. 25-34.   DOI   ScienceOn
68 Ames, A., Mattucci, N., McDonald, S., Szonyi, G., and Hawkins, D.(1997), "Quality Loss Function for Optimization Across Multiple Response Surfaces", Journal of Quality Technology, Vol. 29, pp. 339-346.
69 Yang, T. and Chou, P.(2005), "Solving a Multiresponse Simulation-Optimization Problem with Discrete Variables using a Multiple-Attribute Decision-Making Method", Mathematics and Computers in Simulation, Vol. 68, pp. 9-21.   DOI   ScienceOn
70 Zeleny, M.(1982), Multiple Criteria Decision Making, McGraw-Hill, New York.
71 Tong, L., Su, C., and Wang, C.(1997), "The Optimization of Multiresponse Problems in the Taguchi Method", International Journal of Quality and Reliability Management, Vol. 14, pp. 367-380.   DOI   ScienceOn
72 Tong, L., Wang, C., and Chen, H.(2004a), "Optimization of Multiple Responses using Principal Component Analysis and Technique for Order Preference by Similarity to Ideal Solution", International Journal of Advanced Manufacturing Technology, Vol. 27, pp. 407-414.
73 Tong, L., Wang, C., Chen, C., and Chen, J.(2004b), "Dynamic Multiple Responses by Ideal Solution Analysis", European Journal of Operational Research, Vol. 156, pp. 433-444.   DOI   ScienceOn
74 Tong, L., Wang, C., Houng, J., and Chen, J.(2001), "Optimizing Dynamic Multiresponse Problems Using the Dual-Response-Surface Method", Quality Engineering, Vol. 14, pp. 115-125.
75 Tsui, K. L.(1999), "Robust Design Optimization for Multiple Characteristic Problems", International Journal of Production Research, Vol. 37, pp. 433-445.   DOI   ScienceOn
76 Vining, G.(1998), "A Compromise Approach to Multiresponse Optimization", Journal of Quality Technology, Vol. 30, pp. 309-313.
77 Wang, C. and Tong, L.(2005), "Optimization of Dynamic Multi-Response Problems Using Grey Multiple Attribute Decision Making", Quality Engineering, Vol. 17, pp. 1-9.
78 Wu, F.(2002), "Optimization of Multiple Quality Characteristics Based on Percentage Reduction of Taguchi's Quality Loss", International Journal of Advanced Manufacturing Technology, Vol. 20, pp. 749-753.   DOI   ScienceOn
79 Wu, F.(2005), "Optimization of Correlated Multiple Quality Characteristics Using Desirability Function", Quality Engineering, Vol. 17, pp. 119-126.
80 Wu, F. and Chyu, C.(2004), "Optimization of Robust Design for Multiple Quality Characteristics", International Journal of Production Research, Vol. 42, pp. 337-354.   DOI   ScienceOn
81 Su, C. and Tong, L.(1997), "Multi-Response Robust Design by Principal Component Analysis", Total Quality Management, Vol. 8, pp. 409-416.   DOI   ScienceOn
82 Xu, K., Lin, D., Tang, L., and Xie, M.(2004), "Multiresponse Systems Optimization Using a Goal Attainment Approach", IIE Transactions, Vol. 36, pp. 433-445.   DOI   ScienceOn
83 Savage, G. J. and Seshadri, R.(2003), "Minimizing Cost of Multiple Response Systems by Probabilistic Robust Design", Quality Engineering, Vol. 16, pp. 67-74.   DOI   ScienceOn
84 Steuer, R. E.(1986), Multiple Criteria Optimization: Theory, Computation, and Application, John Wiley & Sons, New York.
85 Teeravaraprug, J. and Cho, B.(2002), "Designing the Optimal Process Target Levels for Multiple Quality Characteristics", International Journal of Production Research, Vol. 40, pp. 37-54.   DOI   ScienceOn
86 Theppaya, T. and Prasertsan, S.(2004), "Optimization of Rubber Wood Drying by Response Surface Method and Multiple Contour Plots", Drying Technology, Vol. 22, pp. 1637-1660   DOI   ScienceOn
87 Plante, R. D.(2001), "Process Capability: A Criterion for Optimizing Multiple Response Product and Process Design", IIE Transactions, Vol. 33, 497-509.
88 Reddy, P., Nishina, K., and Babu, S.(1997), "Unification of Robust Design and Goal Programming for Multiresponse Optimization: A Case Study", Quality and Reliability Engineering International, Vol. 13, pp. 371-383.   DOI   ScienceOn
89 Ribeiro, J. L. and Elsayed, E. A.(1995), "A Case Study on Process Optimization Using the Gradient Loss Function", International Journal of Production Research, Vol. 33, pp. 3233-3248.   DOI   ScienceOn
90 Ribeiro, J. L., Fogliatto, F. S., and ten Caten, C. S.(2000), "Minimizing Manufacturing and Quality Costs in Multiresponse Optimization", Quality Engineering, Vol. 13, pp. 191-201.   DOI   ScienceOn
91 Ribardo, C. and Allen, T.(2003), "An Alternative Desirability Function for Achieving 'Six Sigma' Quality", Quality and Reliability Engineering International, Vol. 19, pp. 227-240.   DOI   ScienceOn