Traffic with an fBm limit: convergence of the stationary workload process

DOI10.1023/B:QUES.0000021144.61749.aazbMath1061.90019OpenAlexW2154336578MaRDI QIDQ596414

Krzysztof Dȩbicki, M. R. H. Mandjes

Publication date: 10 August 2004

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

Full work available at URL: https://doi.org/10.1023/b:ques.0000021144.61749.aa

zbMATH Keywords

weak convergencefractional Brownian motionGaussian processeson-off sourcesheavy-traffic environment

Mathematics Subject Classification ID

Gaussian processes (60G15) Communication networks in operations research (90B18) Queueing theory (aspects of probability theory) (60K25) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

Related Items (13)

Tandem fluid queue with long-range dependent inputs: sticky behaviour and heavy traffic approximation ⋮ Heavy-traffic limit for a feed-forward fluid model with heterogeneous heavy-tailed on/off sources ⋮ A reflected fBm limit for fluid models with ON/OFF sources under heavy traffic ⋮ Open problems in Gaussian fluid queueing theory ⋮ Gaussian queues in light and heavy traffic ⋮ Editorial introduction: special issue on Gaussian queues ⋮ Heavy Traffic Approximations of a Queue with Varying Service Rates and General Arrivals ⋮ State space collapse for asymptotically critical multi-class fluid networks ⋮ Heavy traffic limit theorems for a queue with Poisson ON/OFF long-range dependent sources and general service time distribution ⋮ Transient characteristics of Gaussian queues ⋮ Fractional Brownian heavy traffic approximations of multiclass feedforward queueing networks ⋮ Derivative of the expected supremum of fractional Brownian motion at \(H=1\) ⋮ A TANDEM QUEUE WITH LÉVY INPUT: A NEW REPRESENTATION OF THE DOWNSTREAM QUEUE LENGTH

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