Limit theorems for an infinite-server queuing system

DOI10.1134/S0001434615090321zbMath1339.90097OpenAlexW2295434192MaRDI QIDQ276688

E. A. Chernavskaya

Publication date: 4 May 2016

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434615090321

zbMATH Keywords

limit theoremregenerative processdoubly stochastic Poisson flowinfinite-server queuing system

Mathematics Subject Classification ID

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

Related Items (3)

Bivariate distributions of maximum remaining service times in fork-join infinite-server queues ⋮ A functional limit theorem for general shot noise processes ⋮ Maximum remaining service time in infinite-server queues

Cites Work

• Asymptotic approximations for stationary distributions of many-server queues with abandonment
• Coupling method for asymptotic analysis of queues with regenerative input and unreliable server
• Limit theorems for a \(GI/G/\infty\) queue
• Semi-Markov processes and their applications
• Doubly stochastic Poisson processes
• Networks of infinite-server queues with nonstationary Poisson input
• Stochastic decomposition of the \(M/G/\infty \) queue in a random environment
• $GI|G|\infty$ Queueing Systems and Their Applications to the Analysis of Traffic Models
• Checkpointing for the RESTART problem in Markov networks
• Efficiency-Driven Heavy-Traffic Approximations for Many-Server Queues with Abandonments
• The coupling of regenerative processes
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