Identification and extensions of quasiconvex quality loss functions

International Journal of Reliability, Quality and Safety Engineering

Volumn 4, Issue 2, 1997, Pages 191-204

  Cho, Byung Rae ^a   Leonard, Michael S ^a  

^a AMRL   (United States)

Author keywords

Bordered hessian matrix; Quality characteristic(s); Quality loss; Quasiconvex function; Target value (vector); Taylor series

Indexed keywords

EID: 0000783433     PISSN: 02185393     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218539397000138     Document Type: Article

References (32)

1. J. H. Pratt, H. Raiffa, and R. O. Schlaifer, Introduction to Statistical Decision Theory (McGraw-Hill, New York, 1965).
2. R. O. Schlaifer, Analysis of Decisions under Uncertainty (McGraw-Hill, New York, 1967).
3. H. Raiffa, Decision Analysis (Addision-Wesley, Massachusetts, 1968).
4. M. H. DeGroot, Optimal Statistical Decisions (McGraw-Hill, New York, 1970).
5. J. O. Berger, Statistical Decision Theory and Bayesian Analysis (John Wiley & Sons, New York, 1985).
6. N. Logothetis, "Characterizing and optimizing multi-response processes by the Taguchi method",Quality and Reliability Engineering International 4 (1988), pp., 159-169.
7. A. W. Roberts and D. E. Varberg, Convex Functions (Academic press, New York, 1973).
8. M. Avriel, W. E. Diewert, S. Schaible, and W. T. Ziemba, Generalized Concavity in Optimization and Economics, eds. S. Schaible and W. T. Ziemba (Academic press, New York, 1981), pp. 21-50.
9. M. S. Bazaraa and C. M. Shetty, Nonlinear Programming (John Wiley & Sons, New York, 1993).
10. C. H. Springer, "A Method of determining the most economic position of a process mean",Industrial Quality Control 8 (1951), pp. 36-39.
11. D. C. Bettes, "Finding an optimal target value in relation to a fixed limit and an arbitrary upper limit",Applied Statistics 11 (1962), pp. 202-210.
12. K. Tang, "Economic design of a two-sided screening procedure using a correlated variable",Applied Statistics 32 (1988), pp. 231-241.
13. W. G. Hunter and C. P. Kartha, "Determining the most profitable target value for a production process",Journal of Quality Technology 9 (1977), pp. 176-181.
14. S. Bisgaard, W. G. Hunter, and L. Pallesen, "Economic selection of quality of manufactured product",Technometrics 26 (1984), pp. 9-18.
15. O. Carlsson, "Determining the most profitable process level for a production process under different sales conditions",Journal of Quality Technology 16 (1984), pp. 44-49.
16. K. Tang, "An economic model for vendor selection",Journal of Quality Technology 20 (1988), pp. 81-89.
17. B. L. Dodson, "Determining the optimal target value for a process with upper and lower specifications",Quality Engineering 5 (1993), pp. 393-402.
18. C. Das, "Selection and evaluation of most profitable process targets for the control of canning quality",Computers and Industrial Engineering 28 (1995), pp. 259-266.
19. H. Chernoff and L. E. Moses, Elementary Decision Theory (John Wiley & Sons, New York, 1959).
20. G. Taguchi and Y. Wu, Introduction to Off-line Quality Control (Central Japan Quality Control Association, Japan, 1980).
21. G. Taguchi, Introduction to Quality Engineering, Asian Productivity Organization (distributed by American Supplier Institute, Michigan, 1986).
22. G. Taguchi, Taguchi on Robust Technology Development (ASME Press, New York, 1993).
23. G. Taguchi, System of Experimental Design, ed. Don Clausing, Vols. 1 and 2 (UNIPUB/Kraus International Publications, New York, 1987).
24. K. Tang and J. Tang, "Design of product specifications for multi-characteristic inspection",Management Science 35 (1989), pp. 743-756.
25. G. G. Vining and R. H. Myers, "Combining Taguchi and response surface philosophies: A dual response approachi",Journal of Quality Technology 22 (1990), pp. 38-45.
26. K. C. Kapur and B.-R. Cho, "Economic design and development of specifications",Quality Engineering 6 (1994), pp. 401-417.
27. B.-R. Cho, "Optimization issues in quality engineering",Ph. D. Dissertation, School of Industrial Engineering, University of Oklahoma, 1994.
28. B.-R. Cho, W. G. Ferrell, and D. L. Kimbler, "Development of the optimum product specifications for exponential-type quality characteristics",International Journal of Reliability, Quality and Safety Engineering 3 (1996), pp. 243-256.
29. B.-R. Cho, G. Chen, and K. C. Kapur, "Design optimization to achieve robustness for static and dynamic systems",Proceedings of The International Association of Science and Technology for Development, Washington, D. C. (1994), pp. 41-44.
30. B.-R. Cho and M. D. Phillips, "Design of the optimum product specifications for S-type quality characteristics",to appear in International Journal of Production Research.
31. B.-R. Cho, M. D. Phillips, and K. C. Kapur, "Quality improvement by RSM modeling for robust design",Proceedings of The Industrial Engineering Research Conference, Minneapolis, Minnesota (1995), pp. 650-655.
32. K. Tang, "Design of multi-stage screening procedures for a serial production system",European Journal of Operational Research 52 (1990), pp. 280-290.