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1、IEEETRANSACTIONSONINFORMATIONTHEORY,VOL.52,NO.2,FEBRUARY2006421AnAlohaProtocolforMultihopMobileWirelessNetworksFran?oisBaccelli,Bart?omiejB?aszczyszyn,andPaulMühlethalerAbstract—AnAloha-typeaccesscontrolmechanismforlargemobilesthatareclosetosometransmittingmo
2、bile(andalsore-mobile,multihop,wirelessnetworksisde?nedandanalyzed.ceivingmobileinthecaseofIEEE802.11withtheRTS-CTSThisaccessschemeisdesignedforthemultihopcontext,whereoption)fromtransmittingatthesametime.Inwirelessnet-itisimportantto?ndacompromisebetweenthes
3、patialdensityworks,theMACalgorithmissupposedtopreventsimultaneousofcommunicationsandtherangeofeachtransmission.Moreprecisely,theanalysisaimsatoptimizingtheproductoftheneighboringtransmissionsfromoccurring,asoftenaspossible,numberofsimultaneouslysuccessfultran
4、smissionsperunitofsincesuchtransmissionsareboundtoproducecollisions.Onthespace(spatialreuse)bytheaveragerangeofeachtransmission.otherhand,MACprotocolsshouldallowasmanysimultaneousTheoptimizationisobtainedviaanaveragingoverallPoissonandsuccessfultransmissionsa
5、spossibleoverdifferentpartsofcon?gurationsforthelocationofinterferingmobiles,whereanthenetwork.Thisabilityofmobilewirelessnetworksisknownexactevaluationofsignalovernoiseratioispossible.Themainmathematicaltoolsstemfromstochasticgeometryandarespatialasspatialre
6、use.versionsoftheso-calledadditiveandmaxshotnoiseprocesses.Aloha[1]alongwithtime-divisionmultipleaccess(TDMA)Theresultingmediumaccesscontrol(MAC)protocolexhibitswasoneofthe?rstprotocolsusedinradionetworks.Theworksomeinterestingproperties.First,itcanbeimplemen
7、tedinapresentedinthispaperisanadaptationandanoptimizationofdecentralizedwayprovidedsomelocalgeographicinformationAlohainthecontextofamultihopnetworkofmobilenodes.isavailabletothemobiles.Inaddition,itstransportcapacityisproportionaltothesquarerootofthedensityo
8、fmobileswhichThisoptimizationofAlohausesvariousmathematicaltoolsistheupperboundofGuptaandKumar.Finally,thisprotocolmainlyborrowedfromstochasticgeometry.isself-adaptingtothenodedensityandi
