On the availability and changeover cases of the general lot-sizing and scheduling problem with maintenance modelling: a Lagrangian-based heuristic approach

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dc.contributor.authorAlimian, Mahyar
dc.contributor.authorGhezavati, Vahidreza
dc.contributor.authorTavakkoli-Moghaddam, Reza
dc.contributor.authorRamezanian, Reza
dc.date.accessioned2024-05-19T14:41:48Z
dc.date.available2024-05-19T14:41:48Z
dc.date.issued2024
dc.departmentİstinye Üniversitesien_US
dc.description.abstractThe present paper proposes a novel concept to integrate maintenance modelling with an integrated lot-sizing and scheduling problem. The maintenance aspect of the problem is studied as age-based maintenance, while the production section is modeled as the General Lot-sizing and Scheduling Problem. The mathematical model aims to minimize the total integrated cost of the manufacturing system by determining the sequence of the products with their optimal lot-size, inventory, and shortage levels in close relation to the specified preventive maintenance plan and the availability of the system. Based on the unique structure of the proposed model, a heuristic solution approach is developed, which includes the Lagrangian relaxation algorithm, decomposition, and valid equalities. The computational result justifies the procedure of the proposed solution method and approves its efficiency in terms of cost and solution time for the range of small to large-scale instances. Furthermore, it is discussed that not only does the integrated model decrease the total cost of the manufacturing system, but it also increases the average availability of the system and improves the feasibility of the production plan. Finally, an extended model is developed to tackle the conflicts of the production and maintenance sub-problems via the bi-objective formulation.en_US
dc.identifier.doi10.1007/s12351-024-00822-z
dc.identifier.issn1109-2858
dc.identifier.issn1866-1505
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85187192467en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org10.1007/s12351-024-00822-z
dc.identifier.urihttps://hdl.handle.net/20.500.12713/5162
dc.identifier.volume24en_US
dc.identifier.wosWOS:001180247600001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Heidelbergen_US
dc.relation.ispartofOperational Researchen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz20240519_kaen_US
dc.subjectGeneral Lot-Sizing And Scheduling Problemen_US
dc.subjectSequence-Dependent Setupen_US
dc.subjectPreventive Maintenanceen_US
dc.subjectAvailabilityen_US
dc.subjectLagrangian Relaxationen_US
dc.titleOn the availability and changeover cases of the general lot-sizing and scheduling problem with maintenance modelling: a Lagrangian-based heuristic approachen_US
dc.typeArticleen_US

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