Title | On multichannel systems with constant retrial rate |
Publication Type | Journal Article |
Year of Publication | 2014 |
Authors | Lebedev, EA, Ponomarov, VD |
Abbreviated Key Title | Dopov. Nac. akad. nauk Ukr. |
DOI | 10.15407/dopovidi2014.07.015 |
Issue | 7 |
Section | Mathematics |
Pagination | 15-23 |
Date Published | 7/2014 |
Language | Ukrainian |
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. |
Keywords | multichannel systems, retrial rate |
1. Falin G. I., Templeton J. G. C. Retrial queues. London: Chapman & Hall, 1997. https://doi.org/10.1007/978-1-4899-2977-8
2. Choi B. D., Shin Y. W., Ahn W. C. Queueing Systems. 1992, 11: 335–356. https://doi.org/10.1007/BF01163860
3. Artalejo J. R. Opsearch., 1996, 33: 83–95.
4. Falin G. Stochastic Models, 1995, 11, No 3: 395–409. https://doi.org/10.1080/15326349508807352
5. Wolrend J. Introduction to the theory of queuing networks. Moscow: Mir, 1993 (in Russian).
6. Sevastianov B. A. Branching processes. Moscow: Nauka, 1971 (in Russian).
7. Gomez-Corral A., Ramalhoto M. F. Math. and Comput. Modelling., 1999, 30: 141–158. https://doi.org/10.1016/S0895-7177(99)00138-7