A single-server batch arrival queue with returning customers

DOI10.1016/j.ejor.2009.03.033zbMath1175.90106OpenAlexW2131830780MaRDI QIDQ1038337

Gennadij Falin

Publication date: 17 November 2009

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejor.2009.03.033

zbMATH Keywords

queueingMarkov processessteady statebatch arrivalsretrials

Mathematics Subject Classification ID

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

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Cites Work

• \(M^{[x}/(G_{1}, G_{2})/1\) retrial queue under Bernoulli vacation schedules with general repeated attempts and starting failures]
• A survey on retrial queues
• Functioning under nonsteady conditions of a single-channel system with group arrival of requests and repeated calls
• Multiclass batch arrival retrial queues analyzed as branching processes with immigration
• Aggregate arrival of customers in a one-line system with repeated calls
• A retrial BMAP/SM/1 system with linear repeated requests
• Ergodicity of the BMAP/PH/s/s+K retrial queue with PH-retrial times
• A retrial BMAP/PH/N system
• Analysis of the \(BMAP/G/1\) retrial system with search of customers from the orbit
• A retrial queue with structured batch arrivals, priorities and server vacations
• The BMAP\(/PH/1\) retrial queueing system operating in random environment
• The BMAP/PH/N retrial queue with Markovian flow of breakdowns
• A \(BMAP/G/1\) retrial queue with a server subject to breakdowns and repairs
• Technical Note—Mean Drifts and the Non-Ergodicity of Markov Chains
• Retrial Queueing Systems
• Expected waiting times in a multiclass batch arrival retrial queue
• On a multiclass batch arrival retrial queue
• Retrial Queues
• Some Conditions for Ergodicity and Recurrence of Markov Chains

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