This article describes the formulation of a mathematical model for optimizing the structure of a distributed information-measuring system based on a multi-level topology. The paradigm of cloud, fog and boundary computing is used, which allows building a modern network infrastructure within the framework of the industrial IoT concept. The most typical example of the use of this paradigm may be intelligent power supply networks and distributed systems for monitoring the transportation of gas or oil products. To solve the problem, it is proposed to use an approach based on a genetic algorithm.

The formalized statement of the problem of the distribution of computing and information resources for storing and processing data, as well as the provision of services at the levels of the cloud and fog systems within the framework of optimizing the multi-level topology of the computing network of the distributed registry system from cloud and fog computing paradigm, is presented. The possibility of using a multi-level representation of the topological structure to determine the optimal network architecture of a distributed registry system based on cloud and fog computing using the genetic algorithm for a fractal model of information traffic is shown, in particular, the results of an experiment to minimize response time from the number of generations for Poisson and fractal models are presented traffic.

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