The variance of departure processes: puzzling behavior and open problems

DOI10.1007/S11134-011-9249-7zbMath1275.60060OpenAlexW2075520098MaRDI QIDQ383216

Yoni Nazarathy

Publication date: 25 November 2013

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

Full work available at URL: https://research.tue.nl/nl/publications/the-variance-of-departure-processes--puzzling-behavior-and-open-problems(4510a3bd-c2f0-4e53-99a3-d3b594511d76).html

zbMATH Keywords

queueing theoryasymptotic variance rateBRAVOloss systems

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (7)

The intercept term of the asymptotic variance curve for some queueing output processes ⋮ Precise formulae for bravo coefficients ⋮ Heavy-Traffic Limit of the GI/GI/1 Stationary Departure Process and Its Variance Function ⋮ The asymptotic variance of departures in critically loaded queues ⋮ Characterisation of the output process of a discrete-time \(GI/D/1\) queue, and its application to network performance ⋮ BRAVO for Many-Server QED Systems with Finite Buffers ⋮ On busy periods of the critical GI/G/1 queue and BRAVO

Cites Work

• The asymptotic variance rate of the output process of finite capacity birth-death queues
• The Brownian approximation for rate-control throttles and the \(G/G/1/C\) queue
• Long range dependence of point processes, with queueing examples
• Asymptotic variance rate of the output in production lines with finite buffers
• Stochastic-Process Limits
• The asymptotic variance of departures in critically loaded queues
• An Introduction to Queueing Theory and Matrix-Analytic Methods
• Approximations for departure processes and queues in series
• Queueing Networks: A Survey of Their Random Processes
• Asymptotic variance parameters for the boundary local times of reflected Brownian motion on a compact interval
• Queueing output processes
• Applied Probability and Queues
• An Introduction to the Theory of Point Processes

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