A review of Burke's theorem for Brownian motion

DOI10.1007/S11134-016-9478-XzbMath1341.60115OpenAlexW2309159002MaRDI QIDQ298166

Takis Konstantopoulos

Publication date: 20 June 2016

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11134-016-9478-x

zbMATH Keywords

Brownian motionstationarityBurke's theorem\(\mathrm{M}/\mathrm{M}/1\) queueSkorokhod reflection

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Brownian motion (60J65) Continuous-time Markov processes on discrete state spaces (60J27)

Cites Work

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• On a class of Lévy stochastic networks
• On the quasireversibility of a multiclass Brownian service station
• Point processes and queues. Martingale dynamics
• Brownian analogues of Burke's theorem.
• Lévy Processes with Two-Sided Reflection
• Convergence of tandem Brownian queues
• Brownian models of open queueing networks with homogeneous customer populations^∗
• The Output of a Queuing System

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