Spectral properties of the \(M^{[X]}/G/1\) operator and its application

DOI10.1007/S11868-011-0027-4zbMath1217.47142OpenAlexW2053066575MaRDI QIDQ547260

Ehmet Kasim, Geni Gupur

Publication date: 1 July 2011

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-011-0027-4

zbMATH Keywords

eigenvalueresolvent set\(C_{0}\)-semigroupthe \(M^{[X}/G/1\) retrial queueing system with server breakdowns and constant rate of repeated attempts]

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Spectrum, resolvent (47A10) Groups and semigroups of linear operators (47D03) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (1)

Further research on the \(M/G/1\) retrial queueing model with server breakdowns

Cites Work

• Analysis of the M/G/1 retrial queueing model with server breakdowns
• An \(M^{[X}/G/1\) retrial queue with server breakdowns and constant rate of repeated attempts]
• Asymptotic stability of the solution of the \(M/M^{B}/1\) queueing model
• A semigroup approach to queueing systems
• AnM^X/G/1 retrial queue with exhaustive vacations
• Tauberian Theorems and Stability of One-Parameter Semigroups
• Retrial Queues
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