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

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.

### 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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