The analysis of the M/M/1 queue with two vacation policies (M/M/1/SWV+MV)

DOI10.1080/00207160.2015.1091450zbMath1370.60183OpenAlexW2173799409MaRDI QIDQ5737855

Qingqing Ye, Li-Wei Liu

Publication date: 30 May 2017

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2015.1091450

zbMATH Keywords

busy periodsojourn timestochastic decompositionworking vacation\(\mathrm{M}/\mathrm{M}/1\) queuematrix-geometric solution

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

Related Items (6)

The analysis of M^X/M/1 queue with two-stage vacations policy ⋮ Equilibrium joining strategy in a batch transfer queuing system with gated policy ⋮ The analysis of discrete time Geom/Geom/1 queue with single working vacation and multiple vacations (Geom/Geom/1/SWV+MV) ⋮ Unnamed Item ⋮ Algorithmic computation of \(MAP/PH/1\) queue with finite system capacity and two-stage vacations ⋮ Analysis of an M/G/\(1\) queue with vacations and multiple phases of operation

Cites Work

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• Analysis of a \(GI/M/1\) queue with multiple working vacations
• Vacation queueing models. Theory and applications
• Stochastic Decompositions in the M/G/1 Queue with Generalized Vacations
• On Stochastic Decomposition in M/G/1 Type Queues with Generalized Server Vacations
• Introduction to Matrix Analytic Methods in Stochastic Modeling

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