On multichannel systems with constant retrial rate

Authors

  • E.A. Lebedev
  • V.D. Ponomarov

DOI:

https://doi.org/10.15407/dopovidi2014.07.015

Keywords:

multichannel systems, retrial rate

Abstract

The paper deals with the Markov models of retrial queues, in which the intensity of a repeated request flow does not depend on the number of their sources. We find out the conditions of the steady state existence for such class of systems and obtain explicit formulas of the vector-matrix type for the stationary distribution through the system parameters.

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References

Falin G. I., Templeton J. G. C. Retrial queues. London: Chapman & Hall, 1997. https://doi.org/10.1007/978-1-4899-2977-8

Choi B. D., Shin Y. W., Ahn W. C. Queueing Systems. 1992, 11: 335–356. https://doi.org/10.1007/BF01163860

Artalejo J. R. Opsearch., 1996, 33: 83–95.

Falin G. Stochastic Models, 1995, 11, No 3: 395–409. https://doi.org/10.1080/15326349508807352

Wolrend J. Introduction to the theory of queuing networks. Moscow: Mir, 1993 (in Russian).

Sevastianov B. A. Branching processes. Moscow: Nauka, 1971 (in Russian).

Gomez-Corral A., Ramalhoto M. F. Math. and Comput. Modelling., 1999, 30: 141–158. https://doi.org/10.1016/S0895-7177(99)00138-7

Published

28.02.2025

How to Cite

Lebedev, E., & Ponomarov, V. (2025). On multichannel systems with constant retrial rate . Reports of the National Academy of Sciences of Ukraine, (7), 15–23. https://doi.org/10.15407/dopovidi2014.07.015