**MATHEMATICAL MODEL OF OPTIMIZATION OF THE NETWORK INFRASTRUCTURE OF A DISTRIBUTED ENTERPRISE SYSTEM ON A CLOUD, MISTY AND EDGE TECHNOLOGIES**

**UDC 004.75**

**DOI:10.26102/2310-6018/2019.26.3.003**

S.P. Vorobyov

This article describes the formulation of a mathematical model to optimize the structure of the computer network of a distributed corporate information system based on a multi-level topology. Multi-level topological structure allows you to present the network structure, which includes a detailed description of the relationships between such network objects as active equipment, workstations and servers at different levels of the model, to show as a whole a variety of aspects of data transfer management with support for QoS protocols, technical and software implementation, information space and management. As a result, the design of the computing network of the corporate system can be performed as the development of a single network infrastructure of distributed software and hardware, which includes interconnected and interacting subsystems that solve functional tasks for the management and planning of the enterprise activities within a single approach to achieve the goal of obtaining an optimal architecture and meet the complex system and functional requirements for performance, bandwidth, reliability, etc. The paradigm of cloud, foggy and boundary calculations is used, which allows to build a modern network infrastructure within the framework of the industrial IoT concept. The most typical example of the use of this paradigm can be intelligent power supply networks, distributed monitoring systems for the transportation of gas or oil products, distributed systems of an industrial enterprise. To solve the problem, it is proposed to use an approach based on a modified genetic algorithm. The results of the experiments are presented.

**Keywords: ** multi-level topological structure of distributed corporate system, computer network, cloud computing, fuzzy computing, edge computing, genetic algorithm.

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