Asymptotic analysis for loss probability of queues with finite \(GI / M /1\) type structure

DOI10.1007/S11134-007-9045-6zbMath1128.60079OpenAlexW2001020049MaRDI QIDQ2461590

Bara Kim, Jeongsim Kim

Publication date: 28 November 2007

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11134-007-9045-6

zbMATH Keywords

maximal eigenvaluestationary distributionmatrix-valued functionloss probability

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

Related Items (1)

Tail asymptotics of the waiting time and the busy period for the \(\mathrm{M}/\mathrm{G}/1/K\) queues with subexponential service times

Cites Work

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• Spectral analysis of M/G/1 and G/M/1 type Markov chains
• Calculating the loss probability in aBMAP/G/l/N+1 queue
• Asymptotic behavior of loss probability in GI/M/1/\(K\) queue as \(K\) tends to infinity

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