\(\mathrm{M}/\mathrm{M}/1\) queue with \(m\) kinds of differentiated working vacations

DOI10.1007/S12190-016-1005-ZzbMath1374.60189OpenAlexW2466366996MaRDI QIDQ1676982

Gaojun Zhou, Hong-Bo Zhang

Publication date: 10 November 2017

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

Full work available at URL: https://doi.org/10.1007/s12190-016-1005-z

zbMATH Keywords

generalized eigenvaluesstochastic decompositionworking vacation\(\mathrm{M}/\mathrm{M}/1\) queueQBD process

Mathematics Subject Classification ID

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

Related Items (2)

Unnamed Item ⋮ Analysis of a batch arrival multi-server queueing system with waiting servers, synchronous working vacations and impatient customers

Cites Work

• Queueing systems with vacations - a survey
• A distributional form of Little's law
• An eigenvalue approach to analyzing a finite source priority queueing model
• A preemptive priority queue with balking
• Stochastic decompositions in the \(M/M/1\) queue with working vacations
• Analysis of a \(GI/M/1\) queue with multiple working vacations
• Vacation queueing models. Theory and applications
• Spectral expansion solution for a class of Markov models: application and comparison with the matrix-geometric method
• Utilization of Idle Time in an M/G/1 Queueing System
• A Tandem Queuewith a Movable Server: An Eigenvalue Approach
• An analytical solution for a tandem queue with blocking
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