Quartic Loss Function and Its Application to the Parameter Design Problem

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dc.contributor.advisor Yahya Fathi, Ph.D., P.E., Committee Chair en_US
dc.contributor.advisor Macia L. Gumpertz, Ph.D., Committee Member en_US
dc.contributor.advisor David G. Humphrey, Ph.D., Committee Member en_US
dc.contributor.author Poonthanomsook, Chanwut en_US
dc.date.accessioned 2010-04-02T18:00:10Z
dc.date.available 2010-04-02T18:00:10Z
dc.date.issued 2003-01-09 en_US
dc.identifier.other etd-01082003-174937 en_US
dc.identifier.uri http://www.lib.ncsu.edu/resolver/1840.16/1030
dc.description.abstract There are two functional forms that are commonly used to represent a quality loss function. One form is the conventional step function that is based on classifying the units as defective and non-defective, and the other form is the quadratic loss function that was proposed by Taguchi. Either of these functional forms has a specific functional profile, and as a result we do not have any degrees of freedom in choosing a desired functional profile in either context. This thesis propose a loss function that not only allows some degrees of flexibility in this regards, but it also can be applied in the case where a non-symmetric function is desirable. At one extreme the proposed loss function can be close to a quadratic loss function, and it can be close to a step function at the other extreme. We refer to this loss function as a quartic loss function. We also present the application of the quartic loss function to the parameter design problem in the case where the transfer function between a quality characteristic of interested and design parameters can be determined analytically. en_US
dc.rights I hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to NC State University or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report. en_US
dc.subject Quality Engineering en_US
dc.subject Parameter Design en_US
dc.subject Quality Loss Function en_US
dc.title Quartic Loss Function and Its Application to the Parameter Design Problem en_US
dc.degree.name MS en_US
dc.degree.level thesis en_US
dc.degree.discipline Industrial Engineering en_US

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