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A survey of retrial queues. (English) Zbl 0709.60097

This survey of results on retrial queues supplements the recent surveys by the author [Optimization 17, 649-667 (1986; Zbl 0618.90033)] and T. Yang and J. G. C. Templeton [Queueing Syst. 2, No.3, 201-233 (1987; Zbl 0658.60124); Correction in ibid. 4, 94 (1989)].
Author’s abstract: We concentrate 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 buffers. 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.
Reviewer: E.A.van Doorn

MSC:

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

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