“…Rajagopalan(2002)characterizedaheuristicproceduretosolveanon-linear,integer programmingformulationoftheproblemwhichspecifiedtheMTS/MTOpartitionandthebatch sizesfortheMTSitems. Bemelmans(1986)consideredadecompositionofitemsintoslowandfast moversanddeliberatedthesituationasacapacitatedsingle-machine,multi-productforproduction planningproblem.Theperformancecriterionwastominimizethesumofinventoryholdingcosts andstock-outcosts.Nevertheless,theideacouldbefurtherextendedbyconsideringextrainventories forMTSinordertohavethemoreavailablecapacityforMTO (Beemsterboeretal.,2017;Arima etal.,2017).Ontheotherhand, Li(1992) Asmentionedbefore,therearedifferentapproachesthatmaybeappliedtohybridMTS/MTO productionsystems.Oneishierarchicalproductionplanning(HPP)introducedbyHaxandMealin the1970s.Withthismethodology,decisionscouldbemadeatdiversedecision-makinglevelswith dissimilarcharacteristics (HaxandMeal,1975;Halawaetal.,2017;Jiaetal.,2017).Theapplication ofHPPinsuchenvironmentswasfirstsurveyedbySomanetal( 2004)whodefinedthreedecision levelsincludingstrategic,tactical,andoperationalones.Inthefirstlevel,theso-calledMTS/MTO, firstproductfamiliesareformed,andthenthemanufacturingsystemsandOPP-relatedlocationsare decided.Thesecondlevel,knownascapacitycoordination,assignscapacity,MTS,MTO,andhybrid orders.Here,ordersareeitheracceptedorrejectedonthebasisoftheirprofitabilities.Consequently, cost-effectiveMTOandhybridordersareacceptedandthenon-profitableonesarerejectedinorder nottostockupcapacity.Thethirdlevel(schedulingandcontrolling)consistsofdeterminingthe sequenceandin-depthproductionplanfortheshoptomeetduedatesandlotsizesobtainedatthe previouslevel.RafieiandRabbani(2012)addressedcapacitycoordinationforhybridmanufacturing systemsincludingthreetypesofproducts:pureMTS,pureMTO,andhybridMTS/MTO.Thislevelof HPPconsistsofsomesubstantialfactorssuchasorderacceptance/rejectionprogram,orderdue-date setting,lot-sizingofMTSproducts,andalsothedeterminationofprerequisitecapacityduringthe planninghorizonofthelevel.Theyrepresentedafive-stepmodelattemptingtodecideuponseveral 2013) addressedthesecondandthirdlevelsofanHPPapproachtohybridMTS/MTOproductionsystems, proposingastructureconsistingofbothmid-termandshort-termproductionplanninglevels.On theotherhand,researchersfocusedonnewmethodsofintegratingMTSitemsintojobshopcontrol (Rabbani&Dolatkhah,2017;Barbosa&Azevedo,2018;Wikneretal.,2017)whereassomeothers focusedonlotsizevariationstrategies (Beemsterboeretal.,2017;Rafieietal.,2017).…”