Asymptotic behavior of the loss probability for an M/G/1/N queue with vacations

DOI10.1016/J.APM.2012.04.044zbMath1349.90224arXiv1204.6571OpenAlexW2020319110MaRDI QIDQ346046

Mohammad Hasan, M. Dambrine

Publication date: 5 December 2016

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.6571

zbMATH Keywords

asymptotic behaviorinvariant measureloss probabilityGI/M/1/N queueM/G/1/N queueserve vacations

Mathematics Subject Classification ID

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

Related Items (4)

A parametric uncertainty analysis method for queues with vacations ⋮ Tail asymptotics of the waiting time and the busy period for the \(\mathrm{M}/\mathrm{G}/1/K\) queues with subexponential service times ⋮ A two-stage approach in solving the state probabilities of the multi-queueM/G/1 model ⋮ Asymptotic mean and variance of departures in an \(M/G/1/K + 1\) queue

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