OperationsManagementQuestion1(15

PleaseprintyourUsetheassemblylinebalancingdatashownthefigure(tasktimesareinseconds).Theproductionrequirementisatleast350unitspershift(operating7.5hourspershift).Calculatethecycletimeinseconds.Roundoffthecycletimetonearestmultipleof10secondssuchthatatleast350unitswillbeproduced.(2PerformlinebalancingusingtheRPW*methodandcalculaineefficiency.(8Canyouimprovethebalancingbytrialanderror（試錯法）?(51Question2（10points）:Findthecycletimeforthe667 CT1=6,CT2=60/(1+2+2+2)=60/7=8.57CT3=36/(2+3)=36/5=7.2,CT4=7Overallcycletime=Question3(20points):LeftAngelsInc.fabricatesgarageswiththefollowingprocesssteps.Roofsarepunchedinaroofpunchingpress(6minutesperroof)andthenformedinaroofformingpress(8minutesperroof).Basesarepunchedinbasepunchingpress(9minutesperbase),thenformedinbaseformingpress(10minutesperbase),andfinallytheformedbaseisweldedinabase-weldingmachine(5minutesperbase).Thebasesub-assemblyandtheroofthengotofinalassemblywheretheyareweldedtogether(8minutespergarage)ontheassemblyweldingmachinetocompletethegarage.Assumeoneoperatorateachstation.WeldWeldFormPunchDrawaprocessflowdiagram.(bufferstorageWeldWeldFormPunchPunchPunchForm10mWhatistheminimumMLTforagaragetobecompleted?Alongthebaseunitproductionline:time=9+10+5+8=32min.ThisisminimumMLT.WhatisthecapacityofthefactoryintermsofgaragesperBottleneckoperationisbaseformingwithtime=10min.Thiswilldeterminethecycletimeandthecapacity=6perhour.Ifthefactorywereproducingatcapacity,whatwouldthenutilizationofeachresourcebe?Utilization:Roofpunching:6/10=0.6,Roofforming:8/10=0.8,Basepunching:9/10=0.9,Baseforming:10/10=1,Basewelding:5/10=0.5Finalwelding:8/10=Question4Atrainingcenteroffers3-dayclasses.NewsessionsstarteverydayoftheweekexceptSunday.AjoininganewsessionstartingonMondaywillspendMonday,TuesdayAtrainingcenteroffers3-dayclasses.NewsessionsstarteverydayoftheweekexceptSunday.AjoininganewsessionstartingonMondaywillspendMonday,TuesdayandWednesdayinthecenter.AstartingonFridaywillbeattendsessionsFriday,SaturdayandSunday.Thetabletotheleftshowsthenumberofpeoplejoining,leavingandinthecenteronagivenday,startingwithnopeopleinthesystem.AnswerpartsA,BandCfromthedatagiven(withoutapplyingLittle’slaw) Whatistheflowrateper210peoplepassthroughthecenterinaweek,flowrate=210/7=30WhatistheaverageflowtimeindaysWhatistheaverageWIPintheAftersteadystate,totalnumberofpeopleinthesysteminaweek=70+70+105+105+105+105+70=AverageWIP=630/7=NowapplyLittle'slawtotheWIP=flowratexflowtime90=30x3000000Question5:(15SharpDiscountWholesaleClubhadtwoservicedesks,oneateachentranceofthestore.Customersarriveateachserviceataageofoneeverysixminutes.Theservicerateateachservicedeskisfourminutespercustomer.Howoften(whatpercentageoftime)iseachservicedeskWhatistheprobabilitythatbothserviceclerksareWhatistheprobabilitythatbothserviceclerksareHowmanycustomers, age,arewaitinginlineinfrontofeachserviceHowmuchtimedoesacustomerspendattheservicedesk(waitingplusserviceSolution:Thisisasinglechannel(server)system:modelPrioritySelectthetaskwiththe