MATHEMATICAL MODEL OF INFORMATION NETWORK STRUCTURE ON THE BASIS OF NON-STATIONARY HIERARCHICAL AND STATIONARY HYPERSLETS

Valentyn Sobchuk, A. Laptev, Іванна Саланда, Yu. V. Sachuk · Collection of scientific works of the Military Institute of Kyiv National Taras Shevchenko University · 2019

The article developed a model of the structure of an integrated information network based on a nonstationary hierarchical and stationary hypernetwork, taking into account the destructive effects of various kinds. The functional stability of the integrated information network in the work is understood as the ability of the system to function, albeit with a decrease in quality, for a given time under the influence of external and internal destabilizing factors. External and internal destabilizing factors are understood as failures, malfunctions of system elements, deliberate damages, combat defeats, electromagnetic interferences, maintenance personnel errors. Ensuring the functional stability of any complex technical system is carried out in three stages: identifying abnormal situations, localizing abnormal situations, restoring operation due to the redistribution of resources. When considering integrated information networks from the point of view of functional stability, the failure of a switching node or communication line entails the destruction of the transmission channels of secondary networks, in the graphs of these networks are non-adjacent. Therefore, it is impractical to model the structure of such a network by a graph. In this regard, introduced new concepts and definitions in the theory of functional stability and developed an appropriate methodological apparatus. This model takes into account all the necessary basic parameters from the point of view of functional stability of the network, their properties and relations, which have a significant impact on the synthesis of the optimal network structure. The difference between a hypernetwork and other structural models is that the creation of a hypernetwork structure involves more than two generating sets, allows you to take into account the influence of possible emergency situations caused by internal and external factors.

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