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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