Optimal-Tip-to-Tip-Efficiency.pdf

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1、OptimalTip-to-TipEciencyamodelformaleaudiencestimulationDineshChugtaiandBertramGilfoyleMay29,2014AbstractAprobabilisticmodelisintroducedfortheproblemofstimulatingalargemaleaudience.Doublejerkingisconsidered,inwhichtwoshaftsmaybestimulatedwithasinglehand.Bothtip-to-tipandsh

2、aft-to-shaftcongurationsofaudiencemembersareanalyzed.Wedemonstratethatpre-sortingmembersoftheaudienceaccordingtobothshaftgirthandleglengthallowsformoreecientstimulation.Simulationsestablishsteadyratesofstimulationevenasthevarianceofcertainparametersisallowedtogrow,whereasn

3、aiveunsortedschemeshaveincreasingly accidperfor-mance.Assumealargepresentationhallwithatleastoneaisle.Apresenterisgivenasetamountoftimewithwhichtostimulate"asmanyaudiencemembersaspossibleashemakeshiswaydowntheaisle.Howmuchstimulationispossible?InSec.1,weintroduceaprobabilis

4、ticmodelforaudiencestimulation.Sec.2renesthismodelbyspecifyingdistributionalassumptionsonaudiencemem-bers'receptivenesstostimulation.Themember-sortingapproachthatwesug-gestisdescribedinSec.3,anditsperformanceisnumericallyexaminedinSec.4.1ModelofPersuasion1.1SingleMemberStim

5、ulationConsiderrstthestimulationoftheithaudiencememberinisolation.Werestrictthepresentertousingasinglehand,andthemember'sshaftisassumedtobeperfectlycylindricalandofsomegirthD.Allshaftsareassumedtoberigidatthetimeatwhichstimulationbegins.Supposethepresenter'shandmakescontact

6、withafractionfs2[0;1]oftheshaft'scircumference.Thisscenarioisdepictedincross-sectioninFig.1.Theaudiencememberreceivessomeamountofgraticationfromeachjerkaction.Beforepresentingourmodelforthisgratication,itishelpfultostateandjustifysomeoftheassumptions.Theauthorswouldliketo

7、graciouslythankVinithMisrafordoingprettymucheverything.1Figure1:Ahandmakescontactwithfractionfsoftheshaft'sgirthD.M1Thegraticationresultingfromeachjerkdependsonlyonthephysicalandgeometricparametersoftheproblem(shaftgirth,handsize).Forinstance,a20yearoldmanwhohasn'tbeenstimu

8、latedinaweek'stimereceivesthesamegraticationfromajerkactionaswouldafreshly