Communications in Statistics Stochastic Models · 1993 · 16 citations · 4 references
BusinessComputer ScienceProbability TheoryQueuing TheoryStochastic ProcessesFinite Capacity QueuesLimit TheoremsQueueing NetworksQueueing ProcessesQueueing SystemsQueueing TheoryAsymptotic Analysis Of QueuesAsymptotic Queueing TheoryHeavy Traffic TheoryHeavy-traffic LimitsHeavy-traffic Queue Length DistributionHeavy-traffic Waiting Time AnalysisM/g/1 QueuesQueue Length Asymptotics
We give an elementary proof of the heavy traffic limit theorem for the conditional sojourn time distribution in the M/G/1 queue with processor-sharing. This theorem was announced in [7] without proof
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