基于移动服务的扩展不确定性投入产出模型的稳定性分析(英文)-豆柴文库

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基于移动服务的扩展不确定性投入产出模型的稳定性分析(英文)
Abstract：
Theunpredictablenatureofmobileservicescanposechallengestoaccuratelyforecastinginputandoutputforsuchsystems.Thispaperpresentsanovelextensionofthetraditionalinput-outputmodeltoaccountforsuchuncertaintiesinthecontextofmobileservices.Theproposedmodelaccountsforboththerandomnessininputandoutput,andtheinherentinstabilityofmobilenetworks.AstabilityanalysisisconductedusingaLyapunov-basedapproachtoshowthatthemodelisstableundercertainconditions.
Introduction：
Mobileserviceshavebecomeanintegralpartofmodernsociety,providinguserswithaccesstoamyriadofapplicationsandservices.However,theunpredictablenatureoftheseservicespresentschallengestoaccuratelyforecastinginputandoutputforsuchsystems.Forexample,mobilenetworkscanbeaffectedbyvariousfactorssuchasnetworkcongestion,signalstrength,interference,andweatherconditions.Similarly,userbehaviorcanbeveryunpredictableandcanvarygreatlyovertimeandacrossdifferentusergroups.
Traditionalinput-outputmodelsarenotwellsuitedtoaccountfortheuncertaintiesassociatedwithmobileservices.Thesemodelsassumethattheinputandoutputofasystemaredeterministicandassumethatthesystemisstable.However,theinherentinstabilityofmobilenetworksandtheunpredictabilityofuserbehaviormakeitdifficulttomodelsuchsystemsusingtraditionalmethods.
Toaddressthisissue,thispaperpresentsanovelextensionofthetraditionalinput-outputmodeltoaccountforuncertaintiesassociatedwithmobileservices.Theproposedmodelaccountsforboththerandomnessininputandoutput,andtheinherentinstabilityofmobilenetworks.
ModelDescription：
Theproposedmodelextendsthetraditionalinput-outputmodelbyintroducingtwonewstochasticvariables:thenetworkstabilityvariableandtheuserbehaviorvariable.ThenetworkstabilityvariablecapturestheinherentinstabilityofmobilenetworksandismodeledasaGaussiandistribution.TheuserbehaviorvariablecapturestheunpredictabilityofuserbehaviorandismodeledasaPoissondistribution.
Themodelisdefinedasfollows:
Y=AX+BZ+ε
WhereYisthevectorofoutputvariables,Xisthevectorofinputvariable