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Asymptotically OptimalStochastic ApproximationDiffusion ApproximationHeavy TrafficIndependent and Identically DistributedNumber of ServersLoad BalancingStationary DistributionHeterogeneous ServersParallel ServerTraffic AnalysisMarkov ChainOptimal ControlGradient DescentFunctional Central Limit TheoremService SystemReflected Brownian MotionFluid ModelConcentration InequalityQueueing Theory