Brass alloy blending problem from quality and cost perspectives: A multi-objective optimization approach

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dc.contributor.authorBirgoren, Burak
dc.contributor.authorSakalli, Umit Sami
dc.date.accessioned2021-01-14T18:08:54Z
dc.date.available2021-01-14T18:08:54Z
dc.date.issued2021
dc.departmentKKÜ
dc.description.abstractBrass alloy is a composition of copper and zinc and it also includes lead, iron, tin, aluminum, nickel, antimony if necessary. One of the basic problems in brass casting is to determine which pure and scrap materials will be mixed at what quantities; this problem is known as the blending problem. The ingredient ratios of pure materials are exactly known, however they are expensive. The scrap materials are cheaper than the pure ones with varying ingredient ratios. Stochastic mathematical models aiming to minimize blend cost have been developed in the literature. In the solutions of these models, some of the ingredient ratios exactly equal to the specification limits. Because of the variation, some of them may violate the specification limits and cause quality problems in the actual blends. There is only one study in the literature to solve the quality problem by maximizing the process capability index. However, the blend cost increases when the process capability index maximized. In this study, a multiobjective stochastic mathematical model, which aims both to minimize blend cost and to maximize process capability index, has been developed. The developed model has been converted to a deterministic non-linear counterpart by using chance-constrained programming. Then, fuzzy programming is used to transform the multiobjective model into a single objective one. A solution procedure has been proposed to use it effectively in real life applications. The developed model and solution procedure have been tested by the data supplied from a brass factory. The solution of the numerical example has shown that the developed model and solution procedure can be used successfully in real life applications.en_US
dc.identifier.doi10.17341/gazimmfd.732960
dc.identifier.endpage445en_US
dc.identifier.issn1300-1884
dc.identifier.issn1304-4915
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85102480445
dc.identifier.scopusqualityQ2
dc.identifier.startpage433en_US
dc.identifier.trdizinid1138783
dc.identifier.urihttps://doi.org/10.17341/gazimmfd.732960
dc.identifier.urihttps://hdl.handle.net/20.500.12587/12495
dc.identifier.volume36en_US
dc.identifier.wosWOS:000595657400032
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakTR-Dizin
dc.language.isotr
dc.publisherGAZI UNIV, FAC ENGINEERING ARCHITECTUREen_US
dc.relation.ispartofJOURNAL OF THE FACULTY OF ENGINEERING AND ARCHITECTURE OF GAZI UNIVERSITY
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectProcess capability indexen_US
dc.subjectcosten_US
dc.subjectblending problemen_US
dc.subjectmulti-objective optimizationen_US
dc.subjectfuzzy programmingen_US
dc.titleBrass alloy blending problem from quality and cost perspectives: A multi-objective optimization approachen_US
dc.typeArticle

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