Stochastic Approximations and Monotonicity of a Single Server Feedback Retrial Queue

Mohamed Boualem · Natalia V. Djellab · Djamil Aı̈ssani

13 citations0/0 files storedMathematical Problems in Engineering

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Advanced Queuing Theory Analysis Probability and Risk Models Age of Information Optimization

Abstract

This paper focuses on 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.

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1986Comparison Methods for Queues and Other Stochastic Models.1997Retrial Queues 1984Comparison Methods for Queues and Other Stochastic Models 2008Retrial Queueing Systems 1990A survey of retrial queues 1987A survey on retrial queues 2010Accessible bibliography on retrial queues: Progress in 2000–2009 1963A Single-Server Queue with Feedback

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2014STOCHASTIC BOUNDS FOR A SINGLE SERVER QUEUE WITH GENERAL RETRIAL TIMES 2018Approximate controllability of stochastic bounds of stationary distribution of an M/G/1 queue with repeated attempts and two-phase service

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