Limit theorems for queuing systems with regenerative doubly stochastic input flow

DOI10.1007/s10958-016-2756-7zbMath1335.60169OpenAlexW2299705874MaRDI QIDQ267620

E. A. Chernavskaya

Publication date: 11 April 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-016-2756-7

zbMATH Keywords

law of large numberscentral limit theoremqueueing systemsregenerative doubly stochastic input flow

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Strong limit theorems (60F15)

Cites Work

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• Asymptotic approximations for stationary distributions of many-server queues with abandonment
• Coupling method for asymptotic analysis of queues with regenerative input and unreliable server
• Models of branching walks and their use in the reliability theory
• Limit theorems for a \(GI/G/\infty\) queue
• Doubly stochastic Poisson processes
• Networks of infinite-server queues with nonstationary Poisson input
• Stochastic-Process Limits
• $GI|G|\infty$ Queueing Systems and Their Applications to the Analysis of Traffic Models
• Approximating Distributions by Extended Generalized Lambda Distribution (XGLD)
• Checkpointing for the RESTART problem in Markov networks
• Efficiency-Driven Heavy-Traffic Approximations for Many-Server Queues with Abandonments
• The coupling of regenerative processes
• Queueing Systems with Unreliable Servers in a Random Environment

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