\(\text{BMAP}|\text{SM}|1\) model with Markov modulated retrials

DOI10.1007/BF02564726zbMath0953.60085OpenAlexW2081928865MaRDI QIDQ1969164

Alexander N. Dudin, Valentina I. Klimenok

Publication date: 22 January 2001

Published in: Top (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02564726

zbMATH Keywords

batch Markovian arrival processsemi-Markovian serviceMarkov modulated retrial Poisson process

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items

Analysis of the \(BMAP/G/1\) retrial system with search of customers from the orbit ⋮ Multi-dimensional asymptotically quasi-Toeplitz Markov chains and their application in queueing theory ⋮ Queueing systems with correlated arrival flows and their applications to modeling telecommunication networks ⋮ The BMAP\(/PH/1\) retrial queueing system operating in random environment ⋮ On a BMAP/G/1 Retrial System with Two Types of Search of Customers from the Orbit ⋮ A \(BMAP/G/1\) retrial queue with a server subject to breakdowns and repairs ⋮ On the ergodicity of a class of level-dependent quasi-birth-and-death processes

Cites Work

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• A survey of retrial queues
• A survey on retrial queues
• \(MAP_ 1,MAP_ 2/M/c\) retrial queue with the retrial group of finite capacity and geometric loss.
• Queueing system \(BMAP/G/1\) with repeated calls.
• New results on the single server queue with a batch markovian arrival process
• Retrial Queues

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