Modeling of convergent network operation process

Authors

  • О. М. Kucheryava National Aviation University

DOI:

https://doi.org/10.18372/1990-5548.48.11223

Keywords:

Convergent network, orbit, transition probabilities, flow of different types, retrial queuing system

Abstract

We are studying the convergent network operation process with various types of traffic beingtransferred. As a mathematical model of the convergent network we are using the retrial queuing systemwith the flow of demands of different types. During the modelling we are taking into account such a featureof the information transfer process as the diversity of the input flow and presence of the retries fordata transfer. The formulas determining the transition probabilities of system states have been developed

Author Biography

О. М. Kucheryava, National Aviation University

Candidate of Physical and Mathematical Sciences. Department of Computerized Control Systems

References

V. G. Olifer, and N. A. Olifer, Computer Networks: Principles, Technologies and Protocols. SPb, Piter, 2010, 916 p. (in Russian)

G. I. Falin, and J. G. C. Templeton, Retrial queues. London, Chapmen & Hall, 1997, 395 p.

T. Yang, and J. G. C. Templeton, “A survey on retrial queueing”, Queueing Systems, 1987, vol. 3, pp. 201–233.

G. I. Falin, “A multiclass retrial queue with mixed retrial policy”, Third International Workshop on Retrial Queues. Amsterdam, 2000, pp.38–39.

A. N. Dudin, and V. I. Klimenok, “The M1; M2/G1 (1), G1 (2); G2/1 model with the controlled service of the waiting flow and the low-priority retrying flow,” in Advances in Algorithmic Methods for Stochastic Models (Eds. G. Latouche and P. Taylor), Notable Publications, Inc., New Jersey, 2000, pp. 99–114.

I. N. Kovalenko, and E. V. Koba, “On the classification of retrial queueing systems”, Cybernetics and Systems Analysis, vol. 46, pp. 420–425, May 2010.

O. N. Dyshlyuk, E. V. Koba, and S.V. Pustova “Modeling of Retrial Queueing System GI/G/m/0/ /1/G by the Monte Carlo Method”, Journal of Automation and Information Sciences, 2013, vol. 45, pp. 5–13.

D. Yu. Kuznetsov, and A. A. Nazarov, Adaptive Networks of Random Multiple Access. Del’taplan, Tomsk, 2003, 253 p. (in Russian)

V. V. Anisimov, and M. Kurtulush “Some Markovian Queuing Retrial Systems under Light-Traffic”, Cybernetics and Systems Analysis, vol. 37, pp.876–887, Nov. 2001.

L. Lakatos “Cyclic-waiting systems”, Cybernetics and Systems Analysis, vol. 46, pp.477–484, May 2010.

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MATHEMATICAL MODELING OF PROCESSES AND SYSTEMS