Unified analysis of \(BMAP/G/1\) cyclic polling models

DOI10.1007/s11134-009-9136-7zbMath1181.90078OpenAlexW2126265125MaRDI QIDQ849298

Zsolt Saffer, Miklós Telek

Publication date: 25 February 2010

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11134-009-9136-7

Mathematics Subject Classification ID

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

Related Items (8)

Polling: past, present, and perspective ⋮ A two-queue polling model with priority on one queue and heavy-tailed on/off sources: a heavy-traffic limit ⋮ Queueing systems with correlated arrival flows and their applications to modeling telecommunication networks ⋮ Analysis of the scheduling mechanism for virtualization of links with partial isolation ⋮ Joint arrival process of multiple independent batch Markovian arrival processes ⋮ Analysis of \(\mathrm{MAP}/\mathrm{PH}_1,\mathrm{PH}_2/1\) queue with vacations and optional secondary services ⋮ Efficient computational analysis of non-exhaustive service vacation queues: \(BMAP/R/1/N(\infty)\) under gated-limited discipline ⋮ Analysis of BMAP∕R∕1 Queues Under Gated-Limited Service with the Server’s Single Vacation Policy

Cites Work

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• The Nonpreemptive Priority MAP/G/1 Queue
• New results on the single server queue with a batch markovian arrival process
• Polling Models With and Without Switchover Times
• On the relationship between queue lengths at a random instant and at a departure in the stationary queue with bmap arrivals
• A UNIFIED QUEUE LENGTH FORMULA FOR BMAP/G/1 QUEUE WITH GENERALIZED VACATIONS
• MAP/G/1 QUEUES UNDER N-POLICY WITH AND WITHOUT VACATIONS
• A Spectral Method for a Nonpreemptive PriorityBMAP/G/1 QUEUE
• Queues with Periodic Service and Changeover Time

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