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

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.

UDC: 519.872, 519.7

MSC: 60K25

Received: 04.10.2018
Revised: 18.12.2018

DOI: 10.26456/vtpmk522

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