2014
DOI: 10.2478/fcds-2014-0001
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Batch Scheduling In A Two-Stage Flexible Flow Shop Problem

Abstract: We study a special two-stage flexible flowshop, which consists of several parallel identical machines in the first stage and a single machine in the second stage. We assume identical jobs, and the option of batching, with a required setup time prior to the processing of a new batch. We also consider the option to use only a subset of the available machines. The objective is minimum makespan. A unique optimal solution is introduced, containing the optimal number of machines to be used, the sequence of batch siz… Show more

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Cited by 11 publications
(4 citation statements)
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“…The processingflowisisolatedintonumerousstages,andtherearenumerousparallelmachinesto handleoccupationsineachstage.Duetothehugevolumeofthebusesandthelonggeneration cycle,asitwerebufferswithalimitednumberofspacescanbeconveyedwithinthegeneration line.Atthesametime,thetransportisn'tequippedwithachassisforbeginningthemotorwithin theinstallationworkshop,andtheycanasitwerebecarriedontheskids.Inthismanner,there's ordinarilyabufferbetweenthebodyshopandpaintshop,andthebufferisusuallyisolatedinto differentpathsfortheeaseofplanningandoperation (Ahmadetal.,2019).Eachpathhasan equalnumberofspacesforthetransportbodies.Thetransportentersthepathfromoneside andexitsthepathfromtheotherside.Theflexibleflow-shopschedulingproblem(FFSP)isa kindofclassicalNP-hardproblem (Khamseh,Jolai&Babaei,2015).Thelimitedbufferflexible flow shop scheduling problem (LBFFSP) is a kind of derivative problem of the FFSP and it has stimulated the focus of a huge number of researchers. Gerstl, Mosheiov & Sarig (2014) assumedthebufferbetweenthestagesisinfiniteintheclassicalFFSP.However,confinedby theequipment,spacecapacityofthebufferandotherfactors,themiddlebufferisusuallylimited andevendoesn'texistinlotsofactualproductionprocessesiniron,chemicalandpharmaceutical industries.Forthisreason,thestudyofLBFFSPhasimportanttheoreticalandpracticalvalue. Wardono&Fathi(2004)usedheuristicalgorithmtosolvetheFFSPofmulti-processparallel machineconstrainedbybuffer,butthissolutioncanonlybeusedtosolvetheproblemofsmaller scale.…”
Section: Introductionmentioning
confidence: 99%
“…The processingflowisisolatedintonumerousstages,andtherearenumerousparallelmachinesto handleoccupationsineachstage.Duetothehugevolumeofthebusesandthelonggeneration cycle,asitwerebufferswithalimitednumberofspacescanbeconveyedwithinthegeneration line.Atthesametime,thetransportisn'tequippedwithachassisforbeginningthemotorwithin theinstallationworkshop,andtheycanasitwerebecarriedontheskids.Inthismanner,there's ordinarilyabufferbetweenthebodyshopandpaintshop,andthebufferisusuallyisolatedinto differentpathsfortheeaseofplanningandoperation (Ahmadetal.,2019).Eachpathhasan equalnumberofspacesforthetransportbodies.Thetransportentersthepathfromoneside andexitsthepathfromtheotherside.Theflexibleflow-shopschedulingproblem(FFSP)isa kindofclassicalNP-hardproblem (Khamseh,Jolai&Babaei,2015).Thelimitedbufferflexible flow shop scheduling problem (LBFFSP) is a kind of derivative problem of the FFSP and it has stimulated the focus of a huge number of researchers. Gerstl, Mosheiov & Sarig (2014) assumedthebufferbetweenthestagesisinfiniteintheclassicalFFSP.However,confinedby theequipment,spacecapacityofthebufferandotherfactors,themiddlebufferisusuallylimited andevendoesn'texistinlotsofactualproductionprocessesiniron,chemicalandpharmaceutical industries.Forthisreason,thestudyofLBFFSPhasimportanttheoreticalandpracticalvalue. Wardono&Fathi(2004)usedheuristicalgorithmtosolvetheFFSPofmulti-processparallel machineconstrainedbybuffer,butthissolutioncanonlybeusedtosolvetheproblemofsmaller scale.…”
Section: Introductionmentioning
confidence: 99%
“…The flexible flow-shop scheduling problem (FFSP) is an extension of the traditional flow shop scheduling problem, which has been proved to be an NP-hard problem [1][2][3][4], and LBFFSP has also received more and more attention in recent years. In the traditional FFSP, the buffer between each process is assumed to be infinite.…”
Section: Introductionmentioning
confidence: 99%
“…With rapid development of information, advanced manufacturing, and artificial intelligence technology, Germany proposed "Industry 4.0" national strategy, which promotes progress in manufacturing industry and provides producing solution schemes for many complex industrial systems [1][2][3]. In the production of steel casting, assembly of heavy machinery, and other industries, a scheduling problem with non-deterministic polynomial hard (NP-hard) attributes [4][5][6][7][8], such as the flexible flow shop scheduling problem with the characteristics of customized production and parallel processing, was experienced [9,10]. During the actual production of the large equipment manufacturing workshop, only the buffer with limited capacity can be set in the workshop, owing to physical factors such as the workshop space and storage equipment capacity.…”
Section: Introductionmentioning
confidence: 99%