Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
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Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics], 2019, Issue 1, Pages 23–37
DOI: https://doi.org/10.26456/vtpmk522 (Mi vtpmk522) 		 
Theory of Probability and Mathematical Statistics

Research of the Mathematical Model of Adaptive Control of Conflict Flows of Inhomogeneous Demands

E. V. Kudryavtsev, M. A. Fedotkin

UNN N.I. Lobachevsky, Nizhny Novgorod
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DOI: https://doi.org/10.26456/vtpmk522
Abstract: Adaptive control system of conflicting flows of inhomogeneous demands was considered in the paper. As a mathematical description of such a system, the serving device state and the length of the queues for conflicting input flows was selected. The Markov property of the sequence of states of the system is proved and their classification is carried out. Recurrence relations for one-dimensional distributions of a sequence of states of the system are found.
Keywords: conflict flows, non-cyclic control, stationary probability distribution, generating functions.
Received: 04.10.2018
Revised: 18.12.2018
Bibliographic databases:
Document Type: Article
UDC: 519.872, 519.7
MSC: 60K25
Language: Russian
Citation: E. V. Kudryavtsev, M. A. Fedotkin, “Research of the Mathematical Model of Adaptive Control of Conflict Flows of Inhomogeneous Demands”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2019, no. 1, 23–37
Citation in format AMSBIB
\Bibitem{KudFed19}
\by E.~V.~Kudryavtsev, M.~A.~Fedotkin
\paper Research of the Mathematical Model of Adaptive Control of Conflict Flows of Inhomogeneous Demands
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2019
\issue 1
\pages 23--37
\mathnet{http://mi.mathnet.ru/vtpmk522}
\crossref{https://doi.org/10.26456/vtpmk522}
\elib{https://elibrary.ru/item.asp?id=37166593}
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    		Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
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