Markov model of safety for telecommunication network management system

DOI №______

Abstract

This article explores the use of Markov processes to create models of control systems for telecommunication networks. The functioning of the control system in time is considered as a process of changing its states: the set X of possible incompatible states of the system x acting as a priori data, as well as the random process ξ(t), which takes at any time t = t1 one of the possible states x∈X. The analysis and described the detailed descriptions: the analytical formulas for the probabilities that arose in the control system at the computational time point were obtained. Also, the dependence of the probability of a safe state is explored separately.

Keywords: Markov processes; telecommunication networks; control systems; information technologies.

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