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A survey of retrial queues
Authors:Gennadij Falin
Institution:(1) Department of Probability, Mechanics and Mathematics Faculty, Moscow State University, 119899 Moscow, USSR
Abstract:We present a survey of the main results and methods of the theory of retrial queues, concentrating on Markovian single and multi-channel systems. For the single channel case we consider the main model as well as models with batch arrivals, multiclasses, customer impatience, double connection, control devices, two-way communication and buffer. The stochastic processes arising from these models are considered in the stationary as well as the nonstationary regime. For multi-channel queues we survey numerical investigations of stationary distributions, limit theorems for high and low retrial intensities and heavy and light traffic behaviour.
Keywords:Retrial queues  single and multi-channel  queue-length  waiting time  busy period  limit theorems  numerical methods
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