东南大学研究生英语雅思写作下学期大作业.docx
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东南大学研究生英语雅思写作下学期大作业.docx
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OntheDelayofGeographicalCachingMethods
inTwo-TieredHeterogeneousNetworks
Abstract
Weconsiderahierarchicalnetworkthatconsistsofmobileusers,atwo-tieredcellularnetwork(namelysmallcellsandmacrocells)andcentralrouters,eachofwhichfollowsaPoissonpointprocess(PPP).Inthisscenario,smallcellswithlimited-capacitybackhaulareabletocachecontentunderagivensetofrandomizedcachingpoliciesandstorageconstraints.Moreover,weconsiderthreedifferentcontentpopularitymodels,namelyfixedcontentpopularity,distance-dependentandload-dependent,inordertomodelthespatio-temporalbehaviorofusers’contentrequestpatterns.Wederiveexpressionsfortheaveragedelayofusersassumingperfectknowledgeofcontentpopularitydistributionsandrandomizedcachingpolicies.Althoughthetrendoftheaveragedelayforallthreecontentpopularitymodelsisessentiallyidentical,ourresultsshowthattheoverallperformanceofcached-enabledheterogeneousnetworkscanbesubstantiallyimproved,especiallyundertheloaddependentcontentpopularitymodel.
Besides,Becauseofthelimitationofresearchconditions,thetotalnetworkdelay,networkcostandoptimizationofnetworkparametersarenotanalyzed.
Keywords:
edgecaching,Poissonpointprocess,stochasticgeometry,mobilewirelessnetworks,5G
Introduction
Itisknownthatcontentcachingin5Gheterogeneouswirelessnetworksimprovesthesystemperformance,andisofhighimportanceinlimited-backhaulscenarios.Mostexistingliteraturefocusesonthecharacterizationofkeyperformancemetricsneglectingthebackhaullimitationsandthespatio-temporalcontentpopularityprofiles.Inthiswork,weanalyzethegainsofcachinginheterogeneousnetworkdeployment,andconsidertheaveragedelayasaperformancemetric.
Firstlyweusepassionpointprocess(PPP)methodtobuildthemodel.Thisheterogeneousnetworkconsistsofmobileterminals(users),cache-enabledsmallbasestations(SBSs),macrobasestations(MBSs)andcentralrouters.Inthisnetworksetting,ausermayexperiencedelaysduetodownlinktransmissions,backhaulandcaches.
Moreover,inordertocapturethespatio-temporalcontentaccesspatternsofusers,wesupposefixedcontentpopularity,distance-dependentandload-dependentcontentpopularities.Assumingthatthecontentpopularitydistributionisperfectlyknownatthesmallbasestations,weexplorethreedifferentcachingpoliciesbasedoncontent-popularityandrandomization.Andfinally,wedrawourconclusion.
Methodology
First,ourResearchobjectiveistogettheaveragedelayinacache-enabledtwo-tieredcellularnetworkmodeledbystochasticgeometry,thefigureoneisanillustrationoftheconsideredsystemmodel,themethodologypartincludingthefollowingparts.
Thefirstisthetopology,thecentralrouters,MBSs,SBSs,USERsaremodeledbytheindependentPPPmodels,thesecondisthesignalmodel,forthetractabilityfortheproblem,weassumethatthetypicaluserexperiencetherayleighfadingandthestandardpowerlawpathloss,alsoweassumethatthenetworkisinterference-limited,thatistosaytheinterferencepowerdominatesoverthenoisepower.
Thenitisthecachingmodel,whenauserhasacontentrequest,weassumethattherequestisdrawnfromacontinuouszipfdistribution,inthefunction,thereisacontentpopularityparameter,basedonthisparameter,wehavethreecachingmodels,Fixedmeansthatthecontentpopularityisidenticalforallusers,allSBSsobservethesamedistribution,Distance-dependentmeansthateachuserhasadistance-dependentsteepnessfactor,thefactorisrelatedtotheaveragedistancebetweentheSBSanditsusers.
Basedonthecachingmodels,hereweconsiderthreecachingpolicies:
StdPopmeanstheSBSscachethemostpopularcontentfromthecatalogue,theUnirandmeansthecontentsarecacheduniformlyatrandom,theMixPoppolicymeansthatpartstoragecachethemostpopularcontents,theotherpartcachethecontentatrandom.
Thelastpartisthedelay,ourmetricinthispaper,thedelayincludingthefollowingthreeparts,WhentheBSsdeliverthecontentstotheirintendedmobileusers,itincursthedownlinkdelay,WhenthecontentrequestedarenotcachedintheBSs,theBSshavetogetthecontentformthecentralroutersthroughthebackhaul,thenitcausesdelay,whenthecontentrequestedinthecaches,thecontentneedtobetakenoutfromthecaches,itcausesdelay.
ReportingandDiscussingResults
Inthissection,wenumericallyvalidateourapproximationsderivedintheprevioussection.Theimpactofcriticalsystemparametersarediscussedasfollows.
Fig.(a)ImpactofMBSdensity.(b)Impactofsmallcelldensity.
(c)ImpactoftargetSIR.(d)Impactofstoragesize.
ImpactofMBSdensityλmc:
Thechangeofaveragedelaywithrespectto
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- 东南大学 研究生 英语 雅思 写作 下学 作业