Abstract
Most of the studies of quality system or product-quality assessment deal with a single quality characteristic to determine the quality loss. Products are often assessed on more than one quality characteristic. For this reason, different multivariate quality loss functions have been proposed. However, these loss functions only consider the nominal-the-best quality characteristics (N-type); they do not consider the condition when the quality characteristics are of the smaller-the-better (S-type). In this article, we present a quality evaluation model using loss function for multiple S-type quality characteristics. A numerical example is illustrated showing that using inappropriate loss functions will lead to inaccurate results that give either an underestimate or overestimate of the expected quality costs.
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References
Ganeshan R, Kulkarni S, Boone T (2001) Production economics and process quality: a Taguchi perspective. Int J Prod Econ 71:343–350
Drain D, Gough AM (1996) Applications of upside-down normal loss function. IEE Trans Semiconductor Manuf 9(1):143–145
Spiring FA (1993) The reflected normal loss function. Can J Stat 21:321–320
Spiring FA, Yueng AS (1998) A general class of loss functions with industrial applications. J Qual Technol 30(2):152–162
Raiman L, Case KE (1990) Monitoring continuous improvement using the Taguchi loss function. Int Conf Industr Eng, p 391–396
Kapur KC, Cho BR (1996) Economic design of the specification region for multiple quality characteristics. IIE Trans 28:237–248
Kapur KC, Cho BR (1993) Univariate and multivariate quality loss functions. The first international conference of international association of science and technology for development. Cambridge, Massachusetts, p 9–13
Chen CH, Chou CY (2003) Determining the optimum process mean under the bivariate quality characteristics. Int J Adv Manuf Technol 21:313–316
Chan WM, Ibrahim RN (2003) Evaluating the quality level of a product with multiple quality characteristics. Int J Adv Manuf Technol (in press)
Taguchi G, Elsayed EA, Hsiang TC (1989) Quality engineering in production system. McGraw-Hill, New York
Chen G, Kapur KC (1989) Quality evaluation system using loss function. Proc Int Industr Eng Conf Soc Manuf Productivity, p 363–368
Draper NR (1981) Applied regression analysis, 2nd ed. Wiley, New York
Johnson RA, Wichern DW (1998) Applied multivariate statistical analysis, 4th ed. Prentice-Hall, Upper Saddle River, New Jersey
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Chan, W., Ibrahim, R. & Lochert, P. Quality evaluation model using loss function for multiple S-type quality characteristics. Int J Adv Manuf Technol 26, 98–101 (2005). https://doi.org/10.1007/s00170-003-1980-8
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DOI: https://doi.org/10.1007/s00170-003-1980-8