Asymptotic analysis of the loss probability in the GI/PH/1/K queue

DOI10.1007/BF02896477zbMath1102.60078MaRDI QIDQ854439

Jeongsim Kim

Publication date: 4 December 2006

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

zbMATH Keywords

Perron-Frobenius eigenvaluephase type distributionloss probability

Mathematics Subject Classification ID

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

Cites Work

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• Asymptotic behaviour of the loss probability of the \(M/G/1/K\) and \(G/M/1/K\) queues
• Markov chains with applications in queueing theory, which have a matrix-geometric invariant probability vector
• Analysis of the loss probability of the map/g/1/k queue part i: asymptotic theory
• Analysis of the loss probability of the map/g/1/k queue part ii: approximations and numerical results
• Spectral analysis of M/G/1 and G/M/1 type Markov chains
• Asymptotic behavior of loss probability in GI/M/1/\(K\) queue as \(K\) tends to infinity

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