Time-dependent analysis for a queue modeled by an infinite system of partial differential equations

DOI10.1007/S11425-011-4351-1zbMath1267.47114OpenAlexW2259421608MaRDI QIDQ1934452

Geni Gupur

Publication date: 28 January 2013

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4351-1

zbMATH Keywords

eigenvalueresolvent setM/G/1 queueing model with single vacation

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Spectrum, resolvent (47A10) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (6)

On the asymptotic expression of the time-dependent solution of an M/G/1 queueing model ⋮ Asymptotic property of the time-dependent solution of the M/G/1 queueing model with single working vacation and vacation interruption ⋮ Quasi-compactness and irreducibility of queueing models ⋮ Asymptotic behavior of the time-dependent solution of an M/G/1 queueing model ⋮ Further research on the \(M/G/1\) retrial queueing model with server breakdowns ⋮ 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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• Time-dependent analysis of M/G/1 vacation models with exhaustive service
• Transient solutions for some exhaustive M/G/1 queues with generalized independent vacations
• Well-posedness of M/G/1 queueing model with single vacations.
• A semigroup approach to queueing systems
• Asymptotic property of the time-dependent solution of a reliability model
• A note on stochastic decomposition in a GI/G/1 queue with vacations or set-up times
• Tauberian Theorems and Stability of One-Parameter Semigroups
• On a Generalized M/G/1 Queuing Process in Which the First Customer of Each Busy Period Receives Exceptional Service
• An M\(^{X}\)/G/1 queueing system with a setup period and a vacation period

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