References
- 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.
- 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. https://doi.org/10.1002/(SICI)1099-1638(200001/02)16:1<3::AID-QRE276>3.0.CO;2-W
- Artiles-Leon, N.(1996), "A Pragmatic Approach to Multiple-Response Problems Using Loss Functions", Quality Engineering, Vol. 9, pp. 213-220. https://doi.org/10.1080/08982119608919037
- 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.
- 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. https://doi.org/10.1007/BF01584098
- 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. https://doi.org/10.1021/i260054a010
- Box, G. E. P. and Draper, N. R.(1987), Empirical Model Building and Response Surfaces, John Wiley & Sons, New York.
- Boyle, C. R. and Shin, W. S.(1996), "An Interactive Multiple-Response Simulation Optimization Method", IIE Transactions, Vol. 28, pp. 453-462. https://doi.org/10.1080/07408179608966291
- Chen, L.(1997), "Designing Robust Products with Multiple Quality Characteristics", Computer and Operations Research, Vol. 24, pp. 937-944. https://doi.org/10.1016/S0305-0548(97)00003-8
- Chiao, C. and Hamada, M.(2001), "Analyzing Experiments with Correlated Multiple Responses", Journal of Quality Technology, Vol. 33, pp. 451-465.
-
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. - Collette, Y. and Siarry, P.(2003), Multiobjective Optimization: Principles and Case Studies, Springer-Verlag, Berlin.
- Del Castillo, E.(1996), "Multiresponse Process Optimization via Constrained Confidence Regions", Journal of Quality Technology, Vol. 28, pp. 61-70.
- 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.
- Derringer, G. and Suich, R.(1980), "Simultaneous Optimization of Several Response Variables", Journal of Quality Technology, Vol. 12, pp. 214-219.
- Derringer, G.(June 1994), "A Balancing Act: Optimizing a Product's Properties", Quality Progress, pp. 51-57.
- 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. https://doi.org/10.1080/00207549308956778
- Figueira, J., Greco, S., and Ehrgott, M.(2005), Multiple Criteria Decision Analysis: State of the Art Surveys, Springer, New York.
- 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. https://doi.org/10.1287/mnsc.19.4.357
- 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. https://doi.org/10.1016/S0378-5173(00)00650-5
- 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.
- 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. https://doi.org/10.1016/S0168-3659(01)00356-X
- Harrington, E., Jr.(1965), "The Desirability Function", Industrial Quality Control, Vol. 21, pp. 494-498.
- Hill, W. J. and Hunter, W. G.(1966), "A Review of Response Surface Methodology: A Literature Survey", Technometrics, Vol. 8, pp. 571-590. https://doi.org/10.2307/1266632
- 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. https://doi.org/10.1016/j.ijpharm.2004.10.021
- 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. https://doi.org/10.1016/j.ejpb.2004.03.037
- 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.
- 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. https://doi.org/10.1108/13598539710170812
- 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. https://doi.org/10.1142/S0218539303001093
- 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. https://doi.org/10.1016/j.cor.2004.05.006
- Jeong, I. and Kim, K.(2009), "An interactive desirability function method to multiresponse optimization", European Journal of Operational Research, Vol. 195, pp. 412-426. https://doi.org/10.1016/j.ejor.2008.02.018
- 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.
- Khuri, A. I. and Conlon, M.(1981), "Simultaneous Optimization of Multiple Responses Represented by Polynomial Regression Functions", Technometrics, Vol. 23, pp. 363-375. https://doi.org/10.1080/00401706.1981.10487681
- Khuri, A. I. and Cornell, J.(1996), Response Surfaces: Designs and Analyses, Dekker, New York.
- 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.
- 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. https://doi.org/10.1111/1467-9876.00194
- 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. https://doi.org/10.1016/j.ejor.2004.06.020
- 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.
- 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. https://doi.org/10.1016/0377-2217(86)90050-0
- 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. https://doi.org/10.1287/msom.5.4.334.24886
- 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. https://doi.org/10.1287/mnsc.41.7.1158
- 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. https://doi.org/10.1002/1099-1638(200011/12)16:6<475::AID-QRE342>3.0.CO;2-0
- Kumar, P. and Goel, P.(2002), "Product Quality Optimization Using Fuzzy Set Concepts: A Case Study", Quality Engineering, Vol. 15, pp. 1-8. https://doi.org/10.1081/QEN-120006706
- 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.
- 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. https://doi.org/10.1016/0165-0114(94)90343-3
- 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. https://doi.org/10.1080/00207540410001720403
- 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.
- 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. https://doi.org/10.1016/j.ejor.2010.09.032
- Lee, D., Kim, K., and Koksalan, M.(2011b), "An Interactive Method to Multiresponse Surface Optimization Based on Pairwise Comparisons", IIE Transactions (To appear).
- Liao, H.(2006), "Multi-Response Optimization using Weighted Principal Component", International Journal of Advanced Manufacturing Technology, Vol. 26, pp. 720-725.
- Lind, E. E., Goldin, J., and Hickman, J. B.(1960), "Fitting Yield and Cost Response Surfaces", Chemical Engineering Progress, Vol. 56, pp. 62-68.
- 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. https://doi.org/10.1002/qre.4680040211
- 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. https://doi.org/10.1080/00207540210122202
- 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. https://doi.org/10.1016/S0278-6125(01)80015-7
- Miettinen, K. M.(1999), Nonlinear Multiobjective Optimization, Kluwer, Boston.
- 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. https://doi.org/10.1080/0266476042000184019
- 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. https://doi.org/10.1109/21.310518
- Montgomery, D. C. and Bettencourt, V. M., Jr.(1977), "Multiple Response Surface methods in Computer Simulation", Simulation, Vol. 29, pp. 113-121. https://doi.org/10.1177/003754977702900406
- Myers, R. H. and Carter, W. H.(1973), "Response Surface Techniques for Dual Response Systems", Technometrics, Vol. 15, pp. 301-317. https://doi.org/10.1080/00401706.1973.10489044
- Myers, R. H. and Montgomery, D. C.(2002), Response Surface Methodology, 2nd Edition, John Wiley & Sons, New York.
- 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. https://doi.org/10.1080/07408170590928992
- 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.
- 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).
- Peterson, J. J.(2004), "A Posterior Predictive Approach to Multiple Response Surface Optimization", Journal of Quality Technology, Vol. 36, pp. 139-153.
- Pignatiello, J.(1993), "Strategies for Robust Multiresponse Quality Engineering", IIE Transactions, Vol. 25, pp. 5-15.
- Plante, R. D.(1999), "Multicriteria Models for the Allocation of Design Parameter Targets", European Journal of Operational Research, Vol. 115, pp. 98-112. https://doi.org/10.1016/S0377-2217(98)00119-2
- Plante, R. D.(2001), "Process Capability: A Criterion for Optimizing Multiple Response Product and Process Design", IIE Transactions, Vol. 33, 497-509.
- 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. https://doi.org/10.1002/(SICI)1099-1638(199711/12)13:6<371::AID-QRE127>3.0.CO;2-Z
- 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. https://doi.org/10.1080/00207549508904871
- 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. https://doi.org/10.1080/08982110108918641
- 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. https://doi.org/10.1002/qre.523
- 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.
- Savage, G. J. and Seshadri, R.(2003), "Minimizing Cost of Multiple Response Systems by Probabilistic Robust Design", Quality Engineering, Vol. 16, pp. 67-74. https://doi.org/10.1081/QEN-120020772
- Steuer, R. E.(1986), Multiple Criteria Optimization: Theory, Computation, and Application, John Wiley & Sons, New York.
- Su, C. and Tong, L.(1997), "Multi-Response Robust Design by Principal Component Analysis", Total Quality Management, Vol. 8, pp. 409-416. https://doi.org/10.1080/0954412979415
- 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. https://doi.org/10.1080/00207540110073046
- 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 https://doi.org/10.1081/DRT-200025622
- 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. https://doi.org/10.1002/(SICI)1099-1638(199701)13:1<25::AID-QRE59>3.0.CO;2-B
- 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. https://doi.org/10.1108/02656719710170639
- 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.
- 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. https://doi.org/10.1016/S0377-2217(03)00017-1
- 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.
- Tsui, K. L.(1999), "Robust Design Optimization for Multiple Characteristic Problems", International Journal of Production Research, Vol. 37, pp. 433-445. https://doi.org/10.1080/002075499191850
- Vining, G.(1998), "A Compromise Approach to Multiresponse Optimization", Journal of Quality Technology, Vol. 30, pp. 309-313.
- 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.
- 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. https://doi.org/10.1007/s001700200233
- Wu, F.(2005), "Optimization of Correlated Multiple Quality Characteristics Using Desirability Function", Quality Engineering, Vol. 17, pp. 119-126.
- Wu, F. and Chyu, C.(2004), "Optimization of Robust Design for Multiple Quality Characteristics", International Journal of Production Research, Vol. 42, pp. 337-354. https://doi.org/10.1080/0020754032000123605
- 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. https://doi.org/10.1080/07408170490426143
- 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. https://doi.org/10.1016/j.matcom.2004.09.004
- Zeleny, M.(1982), Multiple Criteria Decision Making, McGraw-Hill, New York.