On the exact asymptotics for the stationary sojourn time distribution in a tandem of queues with light-tailed service times

DOI10.1134/S0032946007040084zbMath1166.60056arXiv0909.0725OpenAlexW2032275441MaRDI QIDQ941885

Sergeĭ Georgievich Foss

Publication date: 2 September 2008

Published in: Problems of Information Transmission (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.0725

zbMATH Keywords

AsymptoticsLight-tailed distrbution.Stationary soujourn timeTwo-node tandem queue

Mathematics Subject Classification ID

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

Related Items (5)

Large Deviations of a Sum of Independent Random Variables with Distributions with Rapidly Decreasing Tails ⋮ Large deviations for the total queue size in non-Markovian tandem queues ⋮ On large deviations of a sum of independent random variables with rapidly decreasing distribution tails ⋮ On asymptotic behavior of the convolution of distributions with regularly exponentially decreasing tails ⋮ Asymptotic analysis of Lévy-driven tandem queues

Cites Work

• Unnamed Item
• Unnamed Item
• On the large deviations behavior of acyclic networks of \(G/G/1\) queues
• Ergodicity of Jackson-type queueing networks
• Large deviations of the sojourn time for queues in series
• Moments and tails in monotone-separable stochastic networks.
• On the tails of waiting-time distributions
• On the saturation rule for the stability of queues
• Some asymptotic results for transient random walks
• Tail Asymptotics for Monotone-Separable Networks

This page was built for publication: On the exact asymptotics for the stationary sojourn time distribution in a tandem of queues with light-tailed service times