Title

Optimization of Engineering Tolerance Design Using Revised Loss Functions

Author Info

Jeh-Nan Pan, National Cheng Kung University
Jianbiao Pan, California Polytechnic State University - San Luis ObispoFollow

Recommended Citation

Postprint version. Published in Engineering Optimization, Volume 41, Issue 2, February 1, 2009, pages 99-118.

The definitive version is available at https://doi.org/10.1080/03052150802347959.

Abstract

Engineering tolerance design plays an important role in modern manufacturing. Both symmetric and asymmetric tolerances are common in many manufacturing processes. Recently, various revised loss functions have been proposed for overcoming the drawbacks of Taguchi's loss function. In this article, Kapur's economic tolerance design model is modified and the economic specification limits for both symmetric and asymmetric losses are established. Three different loss functions are compared in the optimal symmetric and asymmetric tolerance design: a revised Taguchi quadratic loss function, an inverted normal loss function and a revised inverted normal loss function. The relationships among the three loss functions and process capability indices are established. A numerical example is given to compare the economic specification limits established by using the three loss functions. The results suggest that the revised inverted normal loss function be used in determining economic specification limits.

Disciplines

Industrial Engineering | Manufacturing

Copyright

2009 Taylor and Francis.