Publication Cover
Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 32, 2000 - Issue 4
11
Views
36
CrossRef citations to date
0
Altmetric
Computer Programs

A Generalized Global Optimization Algorithm for Dual Response Systems

Pages 444-456 | Published online: 20 Feb 2018

References

  • Box, G. E. P. (1988). “Signal-to-Noise Ratios, Performance Criteria, and Transformations”. Technometrics 30, pp. 1–40.
  • Brooke, A.; Kendrick, D.; and Meeraus, A. (1996). GAMS: User's Guide, Release 2.25. GAMS Development Corporation, Washington DC.
  • Conte, S. D. and de Boor, C. (1980). Elementary Numerical Analysis: An Algorithm Approach, 3rd ed. McGraw-Hill, New York, NY.
  • Copeland, K. A. F. and Nelson, P. R. (1996). “Dual Response Optimization via Direct Function Minimization”. Journal of Quality Technology 28, pp. 331–336.
  • Del Castillo, E.; Fan, S. K.; and Semple, J. (1997). “Computation of Global Optima in Dual Response Systems”. Journal of Quality Technology 29, pp. 347–353.
  • Del Castillo, E.; Fan, S. K.; and Semple, J. (1999). “Optimization of Dual Response Systems: A Comprehensive Procedure for Degenerate and Nondegenerate Problems”. European Journal of Operational Research 112, pp. 174–186.
  • Del Castillo, E. and Montgomery, D. C. (1993). “A Nonlinear Programming Solution to the Dual Response Problem”. Journal of Quality Technology 25, pp. 199–204.
  • Derringer, G. and Suich, R. (1980). “Simultaneous Optimization of Several Response Variables”. Journal of Quality Technology 12, pp. 214–219.
  • Fan, S.-K., (1996). “Optimization of Dual and Multiple Response Processes”. Ph.D. Dissertation, Department of Industrial and Manufacturing and Systems Engineering, The University of Texas at Arlington, TX.
  • Fletcher, R. (1971). “A General Quadratic Programming Algorithm”. Journal of the Institute of Mathematics and its Applications 7, pp. 76–91.
  • Gams 2.50 (1998). GAMS Development Corporation, Washington DC.
  • Golub, GH. and van Loan, C. F. (1984). Matrix Computations. The John Hopkins University Press, Baltimore, MD. pp. 150–153, 238–240.
  • Khuri, A. I. and Cornell, J. A. (1996). Response Surfaces: Designs and Analyses, 2nd ed. Marcel Dekker, New York, NY.
  • Kim, K.-J. and Lin, D. K. J. (1998). “Dual Response Surface Optimization: A Fuzzy Modeling Approach”. Journal of Quality Technology 30, pp. 1–10.
  • Lasdon, L. and Waren, A. (1990). GINO/PC. Copyright 1984–89 by L. Lasdon, A. Waren, and LINDO Systems Inc., Portions Copyright 1981 by Microsoft Corporation. LINDO Systems Inc., Chicago, IL.
  • Lin, D. K. and Tu, W. (1995). “Dual Response Surface Optimization”. Journal of Quality Technology 27, pp. 34–39.
  • More, J. J. and Sorensen, D. C. (1983). “Computing a Trust Region Step”. SIAM Journal of Scientific Statistical Computing 4, pp. 553–572.
  • Murtagh, B. A. and Saunders, M. A. (1982). “A Projected Lagrangian Algorithm and Its Implementation for Sparse Nonlinear Constraints”. Mathematical Programming Study 16, pp. 84–117.
  • Murtagh, B. A. and Saunders, M. A. (1983). MINOS 5.0 User's Guide, Report SOL 83–20, Department of Operations Research, Stanford University, (Revised as MINOS 5.1 User's Guide, Report SOL 83–20R, 1987).
  • Myers, R. H. and Carter, W. H., Jr. (1973). “Response Surface Techniques for Dual Response Systems”. Technometrics 15, pp. 301–317.
  • Myers, R. H.; Khuri, A. I.; and Carter, W. H., Jr. (1989). “Response Surface Methodology: 1966–1988”. Technometrics 31, pp. 137–157.
  • Myers, R. H.; Vining, G. G.; Giovannitti-Jensen, A.; and Myers, S. L. (1992). “Variance-Dispersion Properties of Second Order Response Surface Designs”. Journal of Quality Technology 24, pp. 1–11.
  • Myers, R. H. and Montgomery, D. C. (1995). Response Surface Methodology: Process and Product Optimization Using Designed Experiments. John Wiley & Sons, New York, NY.
  • Nair, V. N. et al. (1992). “Taguchi's Parameter Design: A Panel Discussion”. Technometrics 34, pp. 127–161.
  • Sas Institute (1998). SAS/IML Software Release 6.12 for Windows. SAS Institute, Cary, NC.
  • Semple, J. (1997). “Optimality Conditions and Solution Procedures for Nondegenerate Dual Response Systems”. IIE Transactions 29, pp. 743–752.
  • Sorensen, D. C. (1982). “Newton's Method with A Model Trust Region Modification”. SIAM Journal of Numerical Analysis 19, pp. 409–426.
  • Taguchi, G. (1986). Introduction to Quality Engineering: Designing Quality into Products and Processes. Kraus International Publications, White Plains, NY.
  • Vining, G. G. and Myers, R. H. (1990). “Combining Taguchi and Response Surface Philosophies: A Dual Response Approach”. Journal of Quality Technology 22, pp. 38–45.
  • Vining, G. G. and Bohn, L. L. (1998). “Response Surfaces for the Mean and Variance Using a Nonparametric Approach”. Journal of Quality Technology 30, pp. 282–291.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.