Geodesic
Research of the Mathematical Model of Adaptive Control of Conflict Flows of Inhomogeneous Demands
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 1 (2019), pp. 23-37 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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E. V. Kudryavtsev; M. A. Fedotkin. Research of the Mathematical Model of Adaptive Control of Conflict Flows of Inhomogeneous Demands. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 1 (2019), pp. 23-37. http://geodesic.mathdoc.fr/item/VTPMK_2019_1_a2/

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[7] Fedotkin M. A., Kudryavtsev E. V., “Limiting properties of the system of adaptive control of conflicting flows of heterogeneous requirements”, Materials of the 18th International Scientific Conference “Distributed Computer and Telecommunication Networks: Control, Calculation, Communication”, DCCN-15 (Moscow), 2015, 233–240 (in Russian)

[8] Kudryavtsev E. V., Fedotkin M. A., “Analysis of the discrete model of the system of adaptive control of conflict non-uniform flows”, Moscow University Computational Mathematics and Cybernetics, 2019, no. 1, 19–26 (in Russian)