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Stochastic Approximations and Monotonicity of a Single Server Feedback Retrial Queue

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  • Mohamed Boualem
  • Natalia Djellab
  • Djamil Aïssani

Abstract

This paper focuses on stochastic comparison of the Markov chains to derive some qualitative approximations for an 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.

Suggested Citation

  • Mohamed Boualem & Natalia Djellab & Djamil Aïssani, 2012. "Stochastic Approximations and Monotonicity of a Single Server Feedback Retrial Queue," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-13, March.
    • Handle: RePEc:hin:jnlmpe:536982
    DOI: 10.1155/2012/536982
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