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.
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
\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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https://www.mathnet.ru/eng/vtpmk522
https://www.mathnet.ru/eng/vtpmk/y2019/i1/p23
This publication is cited in the following 2 articles:
“Abstracts of talks given at the 7th International Conference on Stochastic Methods, I”, Theory Probab. Appl., 67:4 (2022), 652–652
“Abstracts of talks given at the 4th International Conference on Stochastic Methods”, Theory Probab. Appl., 65:1 (2020), 121–172
Citation in format AMSBIB
![Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]](/JrnLogos/vtpmk/vtpmk_big.jpg)
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