scientific article; zbMATH DE number 7704581

zbMath1524.60222MaRDI QIDQ6108404

Unnamed Author

Publication date: 29 June 2023

Full work available at URL: https://digitalcommons.pvamu.edu/aam/vol18/iss1/3

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zbMATH Keywords

phase-type distributionMarkovian arrival processdelay timesetupimperfect servicephase-type repairtwo-stage vacation policy

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)

Cites Work

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• Algorithmic computation of \(MAP/PH/1\) queue with finite system capacity and two-stage vacations
• A service model in which the server is required to search for customers
• A single-server queue with server vacations and a class of non-renewal arrival processes
• A logarithmic reduction algorithm for quasi-birth-death processes
• The analysis of M^X/M/1 queue with two-stage vacations policy
• The analysis of the M/M/1 queue with two vacation policies (M/M/1/SWV+MV)
• The M=M=1 Queue with Single Working Vacation Serving at a Slower Rate during the Start-up Period

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