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1、MoreProfit,LessComplaint参赛队员：夏云霓(99计算机)赵长清（99计算机）魏丽(99计算机)指导教师：杨晓帆参赛单位：重庆大学参赛时间：2005年2月4∼8日Controlnumber490MoreProfit,LessComplaintXiaYunniZhaochangingWeiLiAdvisorYangXiaofanSummaryThepresentpaperaimsatprovidingtheoptimaloverbookingstrategyfortheChief-Executive-Offic
2、er(CEO)ofanaviationcorporation.Inmoredetail,itsaimistodeterminethenumberofticketswhichareoverbookedtoachievethemaximumpossibleeconomicprofitwhiletakingvarious(economicandsocial)factorsintoconsideration.Firstofall,themutualrelationshipamongtheelementssuchasprofit,tick
3、et-price,numberofpassengers,possibilityofbooking-and-arriving,andthemaximumnumberofticketswhicharepermissibletoreserve,isrevealed.Basedonthis,threetypicalmathematicalmodelsareproposed,whichareexposedoneafteranotherbelow.Thefirstmodel,whichisthesimplestone,aimssimplya
4、tmaximizingthesingle-airlinerprofitrateforthesingle-pricesituation.Consideringthenumberofpassengersasarandomvariable,thismodelmakesuseoftheaverageprofit(i.e.,mathematicalexpectation)asthemeasureoftheprofitrate.Basedonthismodel,wediscussthreetypicalstrategiesofhowtopa
5、ythepassengerswhohavebookedaspecificairlinerbuthavetogiveuptherightfortakingthatairlinerduetothelimitedtransportationcapacityoftheairplane,respectively.Althoughthefirstmodelprovidesagoodstarting-pointforfurtherstudy,thoroughanalysisindicatesthatitdeviatesfromrealsitu
6、ationstoacertainextent.Duetothisandreferringtothemultiple-pricestrategywhichiscommonlyusedbymostaviationcorporations,amodelispresentedbasedondouble-pricestrategywhichissimplificationofmultiple-pricestrategy.Inordertoreducetheeconomiclossincurredbythecompensationforth
7、ebooking-but-not-arrivingcustomers,thismodeldividesallticketsintotwoclasses:full-price-ticketwithwhichthecustomercanacquirepreferentialtreatmentsofsomesortsuchaschoosingtotakelaterairlinerwhenheorshemissesthereservedflight,anddiscount-price-ticket,withwhichthereisnoa
8、nycompensationifthecustomermisseshisairliner.Furtherresearchofthismodelrevealsthereasonwhytakingthedouble-pricestrategycaneffective
