Simple assembly line balancing problem of Type 1 with grey demand and grey task durations

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dc.authoridKose, Erkan/0000-0002-0097-4302
dc.authoridArik, Oguzhan Ahmet/0000-0002-7088-2104
dc.contributor.authorArık, Oğuzhan Ahmet
dc.contributor.authorKöse, Erkan
dc.contributor.authorForrest, Jeffrey
dc.date.accessioned2025-02-24T17:18:41Z
dc.date.available2025-02-24T17:18:41Z
dc.date.issued2019
dc.departmentFakülteler, Mühendislik Fakültesi, Endüstri Mühendisliği Bölümü
dc.description.abstractPurpose The purpose of this paper is to present a mixed integer programming model for simple assembly line balancing problems (SALBP) with Type 1 when the annual demand and task durations are uncertain and encoded with grey numbers. Design/methodology/approach Grey theory and grey numbers are used for illustrating the uncertainty of parameters in an SALBP, where the objective is to minimize the total number of workstations. The paper proposes a 0-1 mathematical model for SALBP of Type 1 with grey demand and grey task durations. Findings The uncertainty of the demand and task durations are encoded with grey numbers and a well-known 0-1 mathematical model for SALBP of Type 1 is modified to find the minimum number of workstations in order to meet both the lower and upper bounds of the uncertain demand. The results obtained from the proposed mathematical model show a task-workstation assignment that does not distribute precedence relations among tasks and workstations and the sum of task durations in each single workstation is less than or equal to the grey cycle time. Originality/value The grey theory and grey numbers have not been previously used to identify uncertainties in assembly line balancing problems. Therefore, this study provides an important contribution to the literature.
dc.identifier.doi10.1108/GS-05-2019-0011
dc.identifier.endpage414
dc.identifier.issn2043-9377
dc.identifier.issn2043-9385
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85089276762
dc.identifier.scopusqualityQ1
dc.identifier.startpage401
dc.identifier.urihttps://doi.org/10.1108/GS-05-2019-0011
dc.identifier.urihttps://hdl.handle.net/20.500.14440/789
dc.identifier.volume9
dc.identifier.wosWOS:000488235300002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherEmerald Group Publishing Ltd
dc.relation.ispartofGrey Systems-Theory and Application
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250201
dc.subjectGrey system theory
dc.subjectAssembly line balancing
dc.subjectInteger programming
dc.subjectGrey numbers
dc.subjectSimple assembly line balancing problem of Type 1
dc.titleSimple assembly line balancing problem of Type 1 with grey demand and grey task durations
dc.typeArticle

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