Asymptotic property of the time-dependent solution of the M/G/1 queueing model with single working vacation and vacation interruption

DOI10.1007/S13370-017-0518-4zbMath1394.47073OpenAlexW2741892241MaRDI QIDQ1693979

Geni Gupur, Ehmet Kasim

Publication date: 1 February 2018

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-017-0518-4

zbMATH Keywords

eigenvalueresolvent set\(C_0\)-semigroupM/G/1 queueing model with single working vacation and vacation interruption

Mathematics Subject Classification ID

Queues and service in operations research (90B22) One-parameter semigroups and linear evolution equations (47D06) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Cites Work

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• \(\mathrm{M}/\mathrm{G}/1\) queue with single working vacation
• Functional Analysis Methods for Reliability Models
• Tauberian Theorems and Stability of One-Parameter Semigroups
• Asymptotic behavior of the time-dependent solution of the \(\mathrm{M}/\mathrm{G}/1\) queueing model with second optional service

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