Convergence of tandem Brownian queues

DOI10.1017/JPR.2016.22zbMath1344.60087arXiv1408.3641OpenAlexW2296604093MaRDI QIDQ3188589

Sergio I. López

Publication date: 11 August 2016

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

Full work available at URL: https://arxiv.org/abs/1408.3641

zbMATH Keywords

weak convergencetandem queueBurke's theoremBrownian queue

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Stochastic network models in operations research (90B15) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Brownian motion (60J65)

Related Items (2)

A review of Burke's theorem for Brownian motion ⋮ Attractiveness of Brownian queues in tandem

Cites Work

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• On the quasireversibility of a multiclass Brownian service station
• Asymptotic analysis of Lévy-driven tandem queues
• Uniqueness of stationary ergodic fixed point for a \(./M/K\) node
• The net output process of a system with infinitely many queues
• Brownian analogues of Burke's theorem.
• On the weak convergence of departures from an infinite series of \(\cdot{}/M /1\) queues
• Tandem Brownian queues
• Stochastic-Process Limits
• On busy periods of the unbounded Brownian storage

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