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1、INVITEDPAPERLayeringasOptimizationDecomposition:AMathematicalTheoryofNetworkArchitecturesTherearevariouswaysthatnetworkfunctionalitiescanbeallocatedtodifferentlayersandtodifferentnetworkelements,somebeingmoredesirablethanothers.Theintellectualgoaloftheresearchsurveyedbythisarticleistoprovideath
2、eoreticalfoundationforthesearchitecturaldecisionsinnetworking.ByMungChiang,MemberIEEE,StevenH.Low,SeniorMemberIEEE,A.RobertCalderbank,FellowIEEE,andJohnC.DoyleABSTRACT
3、Networkprotocolsinlayeredarchitectureshavelayeringarchitectures.Thispapersurveysthecurrentstatusofhistoricallybeenobtainedonana
4、dhocbasis,andmanyofthehorizontaldecompositionintodistributedcomputation,andrecentcross-layerdesignsarealsoconductedthroughpiece-verticaldecompositionintofunctionalmodulessuchascon-mealapproaches.Networkprotocolstacksmayinsteadbegestioncontrol,routing,scheduling,randomaccess,powerholisticallyana
5、lyzedandsystematicallydesignedasdistributedcontrol,andchannelcoding.Keymessagesandmethodssolutionstosomeglobaloptimizationproblems.Thispaperarisingfrommanyrecentworksaresummarized,andopenpresentsasurveyoftherecenteffortstowardsasystematicissuesdiscussed.Throughcasestudies,itisillustratedhowunde
6、rstandingofBlayering[asBoptimizationdecomposition,[BLayeringasOptimizationDecomposition[providesacommonwheretheoverallcommunicationnetworkismodeledbyalanguagetothinkaboutmodularizationinthefaceofcomplex,generalizednetworkutilitymaximizationproblem,eachlayernetworkedinteractions,aunifying,top-do
7、wnapproachtocorrespondstoadecomposedsubproblem,andtheinterfacesdesignprotocolstacks,andamathematicaltheoryofnetworkamonglayersarequantifiedasfunctionsoftheoptimizationarchitectures.variablescoordinatingthesubproblems.Therecanbemanyalternativedecompositions,leadingtoachoiceofdifferentKEYWORDS
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9、hocnetwork;channelcoding;computernet-work;congestioncontrol;cross-layerdesign;distributedalgo-rithm;feedbackcontrol;gametheory;Internet;Lagrangeduality;ManuscriptreceivedJuly24,2005;revisedSeptember6,2006.Theworksatmediumaccesscon
