The single server queue and the storage model: large deviations and fixed points

DOI10.1155/JAMSA/2006/74603zbMath1110.60087arXivmath/0503016MaRDI QIDQ871346

Moez Draief

Publication date: 19 March 2007

Published in: Journal of Applied Mathematics and Stochastic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503016

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Inventory, storage, reservoirs (90B05) Large deviations (60F10)

Cites Work

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• Effective bandwidths at multi-class queues
• Invariant rate functions for discrete-time queues
• Big queues.
• Large deviations: From empirical mean and measure to partial sums process
• A large deviation principle with queueing applications
• Stability, queue length, and delay of deterministic and stochastic queueing networks
• Logarithmic asymptotics for steady-state tail probabilities in a single-server queue
• Entropy and the timing capacity of discrete queues
• Large deviations and overflow probabilities for the general single-server queue, with applications
• Queues, stores, and tableaux

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