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Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 519.217
O.V. Pryshchepa,1 E.O. Lebedev2

ON A MULTI-CHANNEL QUEUEING SYSTEM WITH RETRIAL CALLS

Abstract. The paper deals with Markov multi-channel queueing systems with a single retrial attempt to begin a service process. The authors establish the conditions of the existence of stationary mode and propose efficient algorithms for calculation of the stationary probabilities with the use of the continued fractions and explicit vector-matrix formulas.

Keywords: stochastic system, retrial calls, stationary mode.



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1 National Institute of Water Resources and Environmental Management, Rivne, Ukraine,
e-mail: o.prischepa@gmail.com.

2 Taras Shevchenko National University of Kyiv, Kyiv, Ukraine,
e-mail: leb@unicyb.kiev.ua.

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