A sufficient condition and a necessary condition for the diffusion approximations of multiclass queueing networks under priority service disciplines

DOI10.1023/A:1019113204634zbMath0942.90021MaRDI QIDQ1569713

Publication date: 5 July 2000

Published in: Queueing Systems (Search for Journal in Brave)

diffusion approximation heavy traffic multiclass queueing network priority service discipline semimartingale reflecting Brownian motion fluid approximation

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Deterministic network models in operations research (90B10)

Related Items (12)

Heavy traffic limits for some queueing networks ⋮ Justifying diffusion approximations for multiclass queueing networks under a moment condition ⋮ The (functional) law of the iterated logarithm of the sojourn time for a multiclass queue ⋮ Diffusion approximations for multiclass queueing networks under preemptive priority service discipline ⋮ Functional Law of the Iterated Logarithm for Multiclass Queues with Preemptive Priority Service Discipline: The Overloaded Case ⋮ Unnamed Item ⋮ On the analysis of the virtual waiting time in open queueing networks ⋮ Diffusion Limit of Fair Resource Control—Stationarity and Interchange of Limits ⋮ Markov modulated fluid network process: Tail asymptotics of the stationary distribution ⋮ Fractional Brownian heavy traffic approximations of multiclass feedforward queueing networks ⋮ A law of iterated logarithm for multiclass queues with preemptive priority service discipline ⋮ A Brownian model for multiclass queueing networks with finite buffers

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