Asymptotic behavior of the time-dependent solution of an M/G/1 queueing model

DOI10.1186/1687-2770-2013-17zbMath1303.47005OpenAlexW2151085211WikidataQ59301811 ScholiaQ59301811MaRDI QIDQ2436202

Rena Ehmet, Geni Gupur

Publication date: 21 February 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-17

zbMATH Keywords

eigenvalueresolvent set\(C_0\)-semigroupM/G/1 queueing model with exceptional service time for the first customer in each busy period

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear differential equations in abstract spaces (34G10) Groups and semigroups of linear operators, their generalizations and applications (47D99)

Related Items (5)

Asymptotic behavior of the solution of a queueing system modeled by infinitely many partial differential equations with integral boundary conditions ⋮ Analysis of the \(M/G/1\) queueing model with second optional service and server breakdowns ⋮ Asymptotic property of the time-dependent solution of the M/G/1 queueing model with single working vacation and vacation interruption ⋮ Applications of stochastic semigroups to queueing models ⋮ 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

• Time-dependent analysis of M/G/1 vacation models with exhaustive service
• Time-dependent analysis for a queue modeled by an infinite system of partial differential equations
• Asymptotic stability of the solution of the \(M/M^{B}/1\) queueing model
• On a Generalized M/G/1 Queuing Process in Which the First Customer of Each Busy Period Receives Exceptional Service

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