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

DOI10.1007/s13370-019-00739-3zbMath1449.60130OpenAlexW2986402649WikidataQ126814788 ScholiaQ126814788MaRDI QIDQ780591

Ehmet Kasim, Geni Gupur

Publication date: 15 July 2020

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

Full work available at URL: https://doi.org/10.1007/s13370-019-00739-3

zbMATH Keywords

eigenvalueresolvent set\(C_0\)-semigroupdispersive operator\(\mathrm{M}/\mathrm{G}/1\) queueing model with optional deterministic server vacations

Mathematics Subject Classification ID

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

Related Items (1)

On the asymptotic expression of the time-dependent solution of an M/G/1 queueing model

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