On the asymptotic behaviour of \(M/G/1\) retrial queues with batch arrivals and impatience phenomenon

DOI10.1016/j.mcm.2011.08.039zbMath1255.90035OpenAlexW2006741167MaRDI QIDQ1930976

Nawel K. Arrar, Natalia V. Djellab, Jean-Bernard Baillon

Publication date: 24 January 2013

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.08.039

zbMATH Keywords

heavy trafficbatch arrivalretrial queueimpatient customersteady state distributionembedded Markov chainlow retrial rate

Mathematics Subject Classification ID

Queues and service in operations research (90B22)

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Embedded Markov chain approach to retrial queue with vacation, phase repair and multioptional services ⋮ Retrial queue with multiple repairs, multiple services and non preemptive priority ⋮ A mathematical model of transmitting a non-ordinary flow with periodic reservations and block acknowledgements in a channel with correlated noise ⋮ On the stochastic decomposition property of single server retrialqueuing systems ⋮ Scaling limits for single server retrial queues with two-way communication ⋮ A two-stage approach in solving the state probabilities of the multi-queueM/G/1 model

Uses Software

• MOSEL

Cites Work

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