\(\mathrm{M}/\mathrm{G}/1\) queue with single working vacation

DOI10.1007/S12190-011-0532-XzbMath1296.60255OpenAlexW1987428630MaRDI QIDQ2511063

Mian Zhang, Zhen Ting Hou

Publication date: 5 August 2014

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-011-0532-x

zbMATH Keywords

single working vacationmethod of supplementary variable\(\mathrm{M}/\mathrm{G}/1\)-type matrix

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (11)

Asymptotic stability of the \(\mathrm{M}/\mathrm{G}/1\) queueing system with optional second service ⋮ Sensitivity analysis of an M/G/1 retrial queueing system with disaster under working vacations and working breakdowns ⋮ Unreliable server \(M^{[X}\)/G/1 retrial feedback queue with balking, working vacation and vacation interruption] ⋮ Asymptotic property of the time-dependent solution of the M/G/1 queueing model with single working vacation and vacation interruption ⋮ Functional analysis method for the \(M/G/1\) queueing model with single working vacation ⋮ Analysis of an M/G/1 queueing system with disgruntled jobs and different types of service rate ⋮ Dynamic analysis of the \(M/G/1\) queueing model with single working vacation ⋮ On existence and asymptotic behavior of the time-dependent solution of the \(\mathrm{M}/\mathrm{G}/1\) queueing model with optional deterministic server vacations ⋮ Cost and revenue analysis of an impatient customer queue with second optional service and working vacations ⋮ Cost analysis and optimization of machine repair model with working vacation and feedback-policy ⋮ Performance analysis of a single server retrial queue with working vacation

Cites Work

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• Performance analysis of a GI/M/1 queue with single working vacation
• Analysis of the M/G/1 queue with exponentially working vacations---a matrix analytic approach
• On the \(GI/M/1/N\) queue with multiple working vacations-analytic analysis and computation
• Performance analysis of \(GI/M/1\) queue with working vacations and vacation interruption
• Multi-server system with single working vacation
• Queueing systems with vacations - a survey
• Analysis of a \(GI/M/1\) queue with multiple working vacations
• Utilization of Idle Time in an M/G/1 Queueing System

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