M07B0lmw-Duke.pdf
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IntheZone:NovelApproachestoAirplaneBoardingTeam2056February12,2007AbstractDespitetheincreasedpressureonairlinestoincreaseproductivityinrecenttimes,alargelyoverlookedinefficiencyinairtravelistheboard-ingandunloadingprocess.Thetypicalairlineusesazonesystem,wherepassengersboardtheplanefrombacktofrontinseveralgroups.Theef-ficiencyofthezonesystemhascomeintoquestionwiththeintroductionoftheopen-seatingpolicyofSouthwestAirlines.Despiteconventionalwisdom,Southwestisabletoturnaroundplanesatanuncannyratewiththeirinnovativemethods.Hence,theoptimalityoftheentireboardingprocesshascomeintoquestion.Weproposeastochasticagent-basedsimulationoftheboardingprocessinordertoexploretheeffectivenessofnovelboardingtechniques.Ourmodelorganizestheaircraftintodiscreteunitscalled‘processors.’Eachprocessorcorrespondstoaphysicalrowoftheaircraft.Passengersentertheplaneandaremovedthroughtheaircraftbasedonthefunctionalityoftheseprocessors.Duringeachcycleofoursimulationeachrow(pro-cessor)canexecuteasingleoperation.Operationsaccomplishfunctionssuchasmovingpassengerstothenextrow,stowingluggageorseatingpassengers.Theprocessormodeltellsus,fromaninitialorderingofpas-sengersinaqueue,howlongtheplanewilltaketoboard,andproducesagriddetailingthechronologyofpassengerseating.Weextendourprocessormodelwithageneticalgorithm,whichweusetosearchthespaceofpossiblepassengerconfigurationsforinnovativeandeffectivepatterns.Thisalgorithmemploysthebiologicaltechniquesofmutationandcrossovertoseekoutlocallyoptimalsolutionstothepas-sengerboardingproblem.Wecreateavariantofthisalgorithmwhichisdesignedtooptimizeaprioriboardingpatterns.WealsointegrateaMarkovchainmodelofpassengerpreferencewithourprocessormodel.WeusethispreferencemodeltoproduceasimulationofSouthwest-styleboarding,whereseatsarenotassignedbutarechosenbyindividualsbasedonenvironmentalconstraints(suchasseatavailability).1Team2056Page2of50Wevalidatedourmodelusingtestsforrigorinbothrobustnessandsen-sitivity.Wefindthatinrobustnesstest