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MODELS AND METHODS OF INVESTIGATION FOR MARKOV TYPE QUEUING SYSTEMS UNDER CONDITIONS OF STOCHASTIC PERIODICITY AND ITS APPLICATION IN ENERGETICS
Ivakhnenko N.N. 1, Badekin M.Yu. 2

1. SO HPE Donetsk National University of Economics and Trade named after Mikhail Tugan-Baranovsky
2. SO HPE "Donetsk National University of Economics and Trade named after Mikhail Tugan-Baranovsky"

Abstract:

The main stages of queuing systems development are highlighted and represented the criteria of division of these systems onto Markov and non-Markov types. On the base of these positions we have established that power systems and power consumption systems can be treated as queuing systems of Markov type. The model of graphs of electrical power consumption as periodical Markov chain is grounded. The method of evaluation of transitional matrices is examined, and on concrete example of power consumption, such evaluations are retrieved. _____________________________________________________________________________________________________________________________________ DOI:10.24411/2541-9269-2020-10101

Keywords: Markov periodic chains, statistical frequency, queuing system

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