Strong stability of the embedded Markov chain in an \(GI/M/1\) queue with negative customers

DOI10.1016/j.apm.2009.12.014zbMath1201.90055OpenAlexW1975533528MaRDI QIDQ611499

Karim Abbas, Djamil Aissani

Publication date: 14 December 2010

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

Full work available at URL: https://doi.org/10.1016/j.apm.2009.12.014

zbMATH Keywords

perturbationMarkov chainstrong stability\(G\)-queuestability inequalities

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (5)

Measure of performances of the strong stability method ⋮ Analysis of BMAP/MSP/1 queue with MAP generated negative customers and disasters ⋮ Statistical techniques for a numerical evaluation of the proximity of \(G/G/1\) and \(G/M/1\) queueing systems ⋮ Impact of Nonparametric Density Estimation on the Approximation of the G∕G∕1 Queue by the M∕G∕1 One ⋮ A Queueing System with Batch Renewal Input and Negative Arrivals

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