V
Valentina Klimenok
Researcher at Belarusian State University
Publications - 96
Citations - 1291
Valentina Klimenok is an academic researcher from Belarusian State University. The author has contributed to research in topics: Markovian arrival process & Queueing theory. The author has an hindex of 18, co-authored 92 publications receiving 1185 citations.
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Multi-dimensional asymptotically quasi-Toeplitz Markov chains and their application in queueing theory
TL;DR: Multi-dimensional asymptotically quasi-Toeplitz Markov chains with discrete and continuous time are introduced and ergodicity and non-ergodicity conditions are proven.
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A Retrial BMAP / PH / N System
TL;DR: A multi-server retrial queueing model with Batch Markovian Arrival Process and phase-type service time distribution is analyzed and the existence conditions for the stationary distribution are obtained and the algorithms for calculating the stationary state probabilities are elaborate.
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Lack of Invariant Property of the Erlang Loss Model in Case of MAP Input
TL;DR: It is shown by means of numerical results that the invariant property of the famous Erlang M/G/N/0 system, which was proven by B. A. Sevastjanov, is absent in case of the MAP input.
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A retrial BMAP/SM/1 system with linear repeated requests
TL;DR: A retrial queueing system with the batch Markovian arrival process and semi-Markovian service is investigated and asymptotically quasi-Toeplitz 2-dimensional Markov chains are introduced into consideration and applied for solving the problem.
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On the Modification of Rouche's Theorem for the Queueing Theory Problems
TL;DR: This work proves the theorem which allows to avoid some difficulties arising in applying classical Rouche's theorem to an analysis of queueing models and leads in a simple way to results concerning the ergodicity condition.