{"id":{"repo_id":"ncsu","oai_identifier":"oai:repository.lib.ncsu.edu:1840.16/1030"},"canonical_url":"https://search.dev.ndltd.org/etd/ncsu/oai:repository.lib.ncsu.edu:1840.16/1030","repository":{"repo_id":"ncsu","name":"North Carolina State University","base_url":"https://repository.lib.ncsu.edu/server/oai/request"},"display":{"title":"Quartic Loss Function and Its Application to the Parameter Design Problem","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.","abstract_html":"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.","abstract_has_math":false,"creators":["Poonthanomsook, Chanwut"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Yahya Fathi, Ph.D., P.E., Committee Chair","Macia L. Gumpertz, Ph.D., Committee Member","David G. Humphrey, Ph.D., Committee Member"],"committee_chairs":[],"committee_members":[],"year":2003,"date_issued":"2003-01-09","date_published":"2003-01-09","updated_at":"2026-08-21T22:21:56Z","subjects":["Quality Engineering","Parameter Design","Quality Loss Function"],"languages":[],"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."],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier.other","label":"Dc Identifier Other","values":["etd-01082003-174937"],"render_values":[{"text":"etd-01082003-174937","href":null,"code":true}]}]},"links":{"outbound_url":"http://www.lib.ncsu.edu/resolver/1840.16/1030","outbound_label":"Repository record","outbound_source":"dc:identifier.uri"},"source_record":{"url":"https://repository.lib.ncsu.edu/server/oai/request?verb=GetRecord&metadataPrefix=dim&identifier=oai%3Arepository.lib.ncsu.edu%3A1840.16%2F1030","prefix":"dim"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Yahya Fathi, Ph.D., P.E., Committee Chair","Macia L. Gumpertz, Ph.D., Committee Member","David G. 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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."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.other","label":"Dc Identifier Other","values":["etd-01082003-174937"]},{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://www.lib.ncsu.edu/resolver/1840.16/1030"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["North Carolina State University Theses Industrial Engineering."]},{"key":"dc:description.abstract","label":"Abstract","values":["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."]},{"key":"dc:format","label":"Dc Format","values":["Thesis (M.S.)--North Carolina State University."]},{"key":"dc:title","label":"Title","values":["Quartic Loss Function and Its Application to the Parameter Design Problem"]}]}],"canonical_facts":{"dc:contributor.advisor":["Yahya Fathi, Ph.D., P.E., Committee Chair","Macia L. Gumpertz, Ph.D., Committee Member","David G. 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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."],"dc:format":["Thesis (M.S.)--North Carolina State University."],"dc:identifier.other":["etd-01082003-174937"],"dc:identifier.uri":["http://www.lib.ncsu.edu/resolver/1840.16/1030"],"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."],"dc:subject":["Quality Engineering","Parameter Design","Quality Loss Function"],"dc:title":["Quartic Loss Function and Its Application to the Parameter Design Problem"]},"updated_at":"2026-08-21T22:21:56Z"}