Analysis of the M/G/1 retrial queueing model with server breakdowns

DOI10.1007/s11868-010-0015-0zbMath1213.90088OpenAlexW2024423833MaRDI QIDQ611976

Geni Gupur

Publication date: 15 December 2010

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

Full work available at URL: https://doi.org/10.1007/s11868-010-0015-0

zbMATH Keywords

eigenvalueresolvent set\(C_{0}\)-semigroupdispersive operatorthe M/G/1 retrial queueing model with server breakdowns

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) One-parameter semigroups and linear evolution equations (47D06) Spectrum, resolvent (47A10) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

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On the asymptotic expression of the time-dependent solution of an M/G/1 queueing model ⋮ Optimal bilinear control of a reparable multi-state system ⋮ Analysis of the \(M/G/1\) queueing model with second optional service and server breakdowns ⋮ Functional analysis method for the \(M/G/1\) queueing model with single working vacation ⋮ Spectral properties of the \(M^{[X}/G/1\) operator and its application] ⋮ Asymptotic behavior of a retrial queueing system with server breakdowns

Cites Work

• The M/G/1 retrial queue with Bernoulli schedule
• A survey on retrial queues
• On queueing systems by retrials
• On the waiting-time process in a single-line queue with repeated calls
• Asymptotic stability of linear differential equations in Banach spaces
• Tauberian Theorems and Stability of One-Parameter Semigroups
• A Service System with Unfilled Requests Repeated
• Reliability analysis of the retrial queue with server breakdowns and repairs
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