On the single-server retrial queue

Authors

  • Natalia V. Djellab Department of Mathematics, University of Annaba, Algeria

DOI:

https://doi.org/10.2298/YJOR0601045D

Keywords:

Retrial queue, stochastic decomposition, breakdown, embedded Markov chain

Abstract

In this work, we review the stochastic decomposition for the number of customers in M/G/1 retrial queues with reliable server and server subjected to breakdowns which has been the subject of investigation in the literature. Using the decomposition property of M/G/1 retrial queues with breakdowns that holds under exponential assumption for retrial times as an approximation in the non-exponential case, we consider an approximate solution for the steady-state queue size distribution.

References

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Published

2006-03-01

Issue

Vol. 16 No. 1 (2006)

Section

Research Articles

License

Copyright (c) 2006 YUJOR

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.