简介：Thispaperconsiderstheoptimaltrafficsignalsettingforanurbanarterialroad.Byintroducingtheconceptsofsynchronizationrateandnon-synchronizationdegree,amathematicalmodelisconstructedandanoptimizationproblemisposed.Then,anewiterativealgorithmisdevelopedtosolvethisoptimaltrafficcontrolsignalsettingproblem.Convergencepropertiesforthisiterativealgorithmareestablished.Finally,anumericalexampleissolvedtoillustratetheeffectivenessofthemethod.

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简介：InInternetenvironment,trafficflowtoalinkistypicallymodeledbysuperpositionofON/OFFbasedsources.DuringeachON-periodforaparticularsource,packetsarriveaccordingtoaPoissonprocessandpacketsizes(henceservicetimes)canbegenerallydistributed.Inthispaper,weestablishheavytrafficlimittheoremstoprovidesuitableapproximationsforthesystemunderfirst-infirst-out(FIFO)andwork-conservingservicediscipline,whichstatethat,whenthelengthsofbothON-andOFF-periodsarelightlytailed,thesequencesofthescaledqueuelengthandworkloadprocessesconvergeweaklytoshort-rangedependentreflectingGaussianprocesses,andwhenthelengthsofON-and/orOFF-periodsareheavilytailedwithinfinitevariance,thesequencesconvergeweaklytoeitherreflectingfractionalBrownianmotions(FBMs)orcertaintypeoflongrangedependentreflectingGaussianprocessesdependingonthechoiceofscalingasthenumberofsuperposedsourcestendstoinfinity.Moreover,thesequencesexhibitastatespacecollapse-likepropertywhenthenumberofsourcesislargeenough,whichisakindofextensionofthewell-knownLittle’slawforM/M/1queueingsystem.Theorytojustifytheapproximationsisbasedonappropriateheavytrafficconditionswhichessentiallymeanthattheserviceratecloselyapproachesthearrivalratewhenthenumberofinputsourcestendstoinfinity.