Quality Loss Functions for Nonnegative Variables and Their Applications

Loss functions play a fundamental role in every quality engineering method. A new set of loss functions is proposed based on Taguchi's societal loss concept. Its applications to robust parameter design are discussed in detail. The loss functions are shown to posses some interesting properties and lead to theoretical results that cannot be handled with other loss functions.

[1]  Fred A. Spiring,et al.  A General Class of Loss Functions with Industrial Applications , 1998 .

[2]  田口 玄一,et al.  Introduction to quality engineering : designing quality into products and processes , 1986 .

[3]  C. F. Jeff Wu,et al.  Experiments: Planning, Analysis, and Parameter Design Optimization , 2000 .

[4]  Kwok-Leung Tsui Robust design optimization for multiple characteristic problems , 1999 .

[5]  V. Roshan Joseph,et al.  Failure Amplification Method: An Information Maximization Approach to Categorical Response Optimization , 2004, Technometrics.

[6]  Joseph J. Pignatiello,et al.  STRATEGIES FOR ROBUST MULTIRESPONSE QUALITY ENGINEERING , 1993 .

[7]  Fred A. Spiring,et al.  The reflected normal loss function , 1993 .

[8]  D. Ruppert,et al.  [Signal-to-Noise Ratios, Performance Criteria, and Transformations]: Discussion , 1988 .

[9]  V. R. Joseph,et al.  Performance Measures in Dynamic Parameter Design , 2002 .

[10]  Feng-Bin Sun,et al.  On Spiring's normal loss function , 1996 .

[11]  Kwok-Leung Tsui,et al.  Multivariate control charts based on loss functions , 1993 .

[12]  P. R. Moorhead,et al.  Cost-driven parameter design , 1998 .

[13]  An Explanation and Extension of Taguchi's Signal-to-Noise Ratios , 1987 .

[14]  X. Shirley Hou On the use of compound noise factor in parameter design experiments , 2002 .

[15]  Arden Miller,et al.  Parameter Design for Signal-Response Systems: A Different Look at Taguchi's Dynamic Parameter Design , 1996 .

[16]  V. Roshan Joseph,et al.  Robust Parameter Design of Multiple-Target Systems , 2002, Technometrics.

[17]  A. C. Shoemaker,et al.  Performance Measures Independent of Adjustment: An Explanation and Extension of Taguchi's Signal-to-Noise Ratios , 1987 .