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Boualem, Mohamed; Djellab, Natalia; Aïssani, Djamil

Stochastic approximations and monotonicity of a single server feedback retrial queue. (English) Zbl 1264.90051

Math. Probl. Eng. 2012, Article ID 536982, 13 p. (2012).
Summary: We focus on a stochastic comparison of the Markov chains to derive some qualitative approximations for an \(M/G/1\) retrial queue with a Bernoulli feedback. The main objective is to use stochastic ordering techniques to establish various monotonicity results with respect to arrival rates, service time distributions, and retrial parameters.

Cited in 6 Documents

MSC:

90B22 Queues and service in operations research
60J27 Continuous-time Markov processes on discrete state spaces
60E15 Inequalities; stochastic orderings
60K25 Queueing theory (aspects of probability theory)
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\textit{M. Boualem} et al., Math. Probl. Eng. 2012, Article ID 536982, 13 p. (2012; Zbl 1264.90051)
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References:

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