Exact asymptotics for a queue with fractional Brownian input and applications in ATM networks

DOI10.1239/jap/1011994183zbMath1001.60042OpenAlexW2088154827MaRDI QIDQ4537301

Peng Yan, Yi Yan, Tyrone E. Duncan

Publication date: 15 December 2002

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/jap/1011994183

zbMATH Keywords

FIFO fluid queuefractional Brownian inputinfinite buffer space

Mathematics Subject Classification ID

Extreme value theory; extremal stochastic processes (60G70) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Self-similar stochastic processes (60G18)

Related Items (5)

Fractal teletraffic delay bounds in computer networks ⋮ Drift Parameter Estimation for a Reflected Fractional Brownian Motion Based on its Local Time ⋮ On the Reflected Fractional Brownian Motion Process on the Positive Orthant: Asymptotics for a Maximum with Application to Queueing Networks ⋮ Conditional limit theorems for queues with Gaussian input, a weak convergence approach ⋮ Selected topics in the generalized mixed set-indexed fractional Brownian motion

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