A comparative study of various loss functions in the economic tolerance design

Jeh Nan Pan; Jianbiao Pan

doi:10.1109/ICMIT.2006.262327

A comparative study of various loss functions in the economic tolerance design

Jeh Nan Pan, Jianbiao Pan

Department of Statistics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

9 Citations (Scopus)

Abstract

Engineering tolerance design plays an important role in modern manufacturing. In this paper, the Kapur's model was modified so that the economic specification limits for both symmetric and asymmetric losses can be established. Three different loss functions (1) Taguchi's quadratic loss function (2) Inverted Normal Loss Function (3) Revised Inverted Normal Loss Function are compared in the economic tolerance design. The relationships between the three loss functions and process capability indices for symmetric tolerance are established. The results suggest that the revised inverted normal loss function be used in determination of economic specification limits.

Original language	English
Title of host publication	ICMIT 2006 Proceedings - 2006 IEEE International Conference on Management of Innovation and Technology
Pages	783-787
Number of pages	5
DOIs	https://doi.org/10.1109/ICMIT.2006.262327
Publication status	Published - 2006
Event	2006 IEEE International Conference on Management of Innovation and Technology, ICMIT 2006 - Singapore, Singapore Duration: 2006 Jun 21 → 2006 Jun 23

Publication series

Name	ICMIT 2006 Proceedings - 2006 IEEE International Conference on Management of Innovation and Technology
Volume	2

Other

Other	2006 IEEE International Conference on Management of Innovation and Technology, ICMIT 2006
Country/Territory	Singapore
City	Singapore
Period	06-06-21 → 06-06-23

All Science Journal Classification (ASJC) codes

Management of Technology and Innovation
General Computer Science

Access to Document

10.1109/ICMIT.2006.262327

Cite this

Pan, J. N., & Pan, J. (2006). A comparative study of various loss functions in the economic tolerance design. In ICMIT 2006 Proceedings - 2006 IEEE International Conference on Management of Innovation and Technology (pp. 783-787). Article 4037125 (ICMIT 2006 Proceedings - 2006 IEEE International Conference on Management of Innovation and Technology; Vol. 2). https://doi.org/10.1109/ICMIT.2006.262327

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title = "A comparative study of various loss functions in the economic tolerance design",

abstract = "Engineering tolerance design plays an important role in modern manufacturing. In this paper, the Kapur's model was modified so that the economic specification limits for both symmetric and asymmetric losses can be established. Three different loss functions (1) Taguchi's quadratic loss function (2) Inverted Normal Loss Function (3) Revised Inverted Normal Loss Function are compared in the economic tolerance design. The relationships between the three loss functions and process capability indices for symmetric tolerance are established. The results suggest that the revised inverted normal loss function be used in determination of economic specification limits.",

author = "Pan, {Jeh Nan} and Jianbiao Pan",

year = "2006",

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language = "English",

isbn = "1424401488",

series = "ICMIT 2006 Proceedings - 2006 IEEE International Conference on Management of Innovation and Technology",

pages = "783--787",

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note = "2006 IEEE International Conference on Management of Innovation and Technology, ICMIT 2006 ; Conference date: 21-06-2006 Through 23-06-2006",

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Pan, JN & Pan, J 2006, A comparative study of various loss functions in the economic tolerance design. in ICMIT 2006 Proceedings - 2006 IEEE International Conference on Management of Innovation and Technology., 4037125, ICMIT 2006 Proceedings - 2006 IEEE International Conference on Management of Innovation and Technology, vol. 2, pp. 783-787, 2006 IEEE International Conference on Management of Innovation and Technology, ICMIT 2006, Singapore, Singapore, 06-06-21. https://doi.org/10.1109/ICMIT.2006.262327

A comparative study of various loss functions in the economic tolerance design. / Pan, Jeh Nan; Pan, Jianbiao.
ICMIT 2006 Proceedings - 2006 IEEE International Conference on Management of Innovation and Technology. 2006. p. 783-787 4037125 (ICMIT 2006 Proceedings - 2006 IEEE International Conference on Management of Innovation and Technology; Vol. 2).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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A comparative study of various loss functions in the economic tolerance design

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