Estimation of the large deviations parameter for a single-channel queuing system with regenerative input flow

DOI10.3103/S0027132219040028zbMath1448.60183OpenAlexW2970177258MaRDI QIDQ2287388

G. A. Krylova

Publication date: 20 January 2020

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132219040028

zbMATH Keywords

waiting timelarge deviationsconfidence intervalsingle-server queueregenerative inputstatistical estimator

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Estimating Loynes' exponent
• Coupling method for asymptotic analysis of queues with regenerative input and unreliable server
• Large deviations of the steady-state distribution of reflected processes with applications to queueing systems
• Big queues.
• Large deviations in the queuing theory
• Subexponential Asymptotics for Steady State Tail Probabilities in a Single-Server Queue with Regenerative Input Flow
• The probability of large queue lengths and waiting times in a heterogeneous multiserver queue I: Tight limits
• Large Deviation Probabilities for the System ${M/G/1/\infty}$ with an Unreliable Server
• Large deviations

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