Cluster Model for Edge Computing

This paper discusses the issues of building a cluster model designed for distributed computing systems, namely, for one of the options for implementing boundary computing - Dew Computing. It involves user interaction with an electronic device, including the emergence of a new concept based on the emergence of an environment in which it is possible to lease the computing power of a subscriber device owned by another user. Performing a step-by-step transformation within a distributed system from the concept of cloud computing, which first turns into foggy, and then into dew calculations, a single communication device acts as” droplets”, containing both a means of user identification and a means of computing and communication. Using the appropriate mathematical apparatus that includes elements of the theory of functions of a complex variable, as well as the clustering problem, the possibility of constructing a cluster for any arbitrary point that characterizes the subscriber and his personal computing device is shown.