The existence of fixed points for the \(\cdot\)/GI/1 queue.

DOI10.1214/aop/1068646383zbMath1084.60057OpenAlexW1971763012MaRDI QIDQ1433898

Balaji Prabhakar, Jean Mairesse

Publication date: 1 July 2004

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.aop/1068646383

Mathematics Subject Classification ID

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

Related Items

Busemann functions and Gibbs measures in directed polymer models on \(\mathbb{Z}^2 \), Joint distribution of Busemann functions in the exactly solvable corner growth model, On the departure process of the linear loss network, The existence of fixed points for the \(\cdot\)/GI/1 queue., The attractiveness of the fixed points of a \(\cdot/\text{GI}/1\) queue., Stationary cocycles and Busemann functions for the corner growth model, Geodesics and the competition interface for the corner growth model, Attractiveness of Brownian queues in tandem, Interference queueing networks on grids, Queues, stores, and tableaux, Batch queues, reversibility and first-passage percolation, Busemann functions, geodesics, and the competition interface for directed last-passage percolation

Cites Work

• Departures from many queues in series
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• Asymptotic results on infinite tandem queueing networks
• Large tandem queueing networks with blocking
• On the weak convergence of departures from an infinite series of \(\cdot{}/M /1\) queues
• On the input-output map of aG/G/1 queue
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