Some decomposition results for a class of vacation queues

DOI10.1016/J.ORL.2014.01.005zbMath1408.90054OpenAlexW2092382509MaRDI QIDQ1667207

Attahiru Sule Alfa

Publication date: 27 August 2018

Published in: Operations Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.orl.2014.01.005

zbMATH Keywords

decomposition resultsGeo/PH/1 and M/PH/1 vacation systemsMAP/PH/1 vacationmatrices $G$ and $R$

Mathematics Subject Classification ID

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

Related Items (2)

Impact of the degradation in service rate in \({MAP}/{PH}/1\) queueing system with phase type vacations, breakdowns, and repairs ⋮ Algorithmic computation of \(MAP/PH/1\) queue with finite system capacity and two-stage vacations

Cites Work

• A general class of Markov processes with explicit matrix-geometric solutions
• A note on two matrices occurring in the solution of quasi-birth-and-death processes
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
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