Functional analysis method for the \(M/G/1\) queueing model with single working vacation

DOI10.1515/MATH-2018-0074zbMath1495.47127OpenAlexW2885653620WikidataQ129431060 ScholiaQ129431060MaRDI QIDQ1738159

Geni Gupur, Ehmet Kasim

Publication date: 29 March 2019

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2018-0074

zbMATH Keywords

eigenvalueresolvent set\(C_{0}\)-semigroupDirichlet operator\(M/G/1\) queueing model with single working vacation

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Spectrum, resolvent (47A10) Groups and semigroups of linear operators (47D03) Applications of operator theory in probability theory and statistics (47N30)

Related Items (2)

On the asymptotic expression of the time-dependent solution of an M/G/1 queueing model ⋮ On existence and asymptotic behavior of the time-dependent solution of the \(\mathrm{M}/\mathrm{G}/1\) queueing model with optional deterministic server vacations

Cites Work

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• The application of \(C_0\)-semigroup theory to dynamic queueing systems

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