A TANDEM QUEUE WITH LÉVY INPUT: A NEW REPRESENTATION OF THE DOWNSTREAM QUEUE LENGTH
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Publication:3430658
DOI10.1017/S0269964807070064zbMath1114.60074MaRDI QIDQ3430658
Krzysztof Dȩbicki, Miranda van Uitert, M. R. H. Mandjes
Publication date: 23 March 2007
Published in: Probability in the Engineering and Informational Sciences (Search for Journal in Brave)
Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)
Related Items (9)
Exact asymptotics of Gaussian-driven tandem queues ⋮ Lévy-driven GPS queues with heavy-tailed input ⋮ Transient analysis of Lévy-driven tandem queues ⋮ Tandem Brownian queues ⋮ Extremes of Markov-additive processes with one-sided jumps, with queueing applications ⋮ A Lévy input model with additional state-dependent services ⋮ Asymptotic analysis of Lévy-driven tandem queues ⋮ On a generic class of two-node queueing systems ⋮ Exact tail asymptotics for a three-dimensional Brownian-driven tandem queue with intermediate inputs
Cites Work
- Sample-path large deviations for tandem and priority queues with Gaussian inputs
- Traffic with an fBm limit: convergence of the stationary workload process
- Convolution tails, product tails and domains of attraction
- On convolution tails
- Path delays in communication networks
- Parallel and tandem fluid networks with dependent Lévy inputs
- Asymptotics for M/G/1 low-priority waiting-time tail probabilities
- Is network traffic approximated by stable Lévy motion or fractional Brownian motion?
- Simple analysis of a fluid queue driven by an \(M/M/1\) queue
- On-off fluid models in heavy traffic environment
- On the Distribution of the Supremum Functional for Processes with Stationary Independent Increments
- On the Integrodifferential Equation of Takacs. I
- Fluctuation theory in continuous time
- Subexponentiality and infinite divisibility
- Stable Processes With Drift on the Line
- On the Distribution of the Supremum for Stochastic Processes with Interchangeable Increments
- Markov-modulated feedforward fluid networks
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