Siberian Federal University

We consider a mathematical model of a communication network for a group of unmanned aerial vehicles (UAVs) that operate without interaction with each other and with a control center, represented as a finite-source queueing system with a fixed number of sources generating connection requests to a server. Each source, when initiating a communication session with the server, generates requests with a constant intensity. If the server is free, the request begins to be processed. The model assumes that the duration of this period is exponentially distributed. If the server is busy at the moment of request initiation, a transmission delay occurs in the form of a blocked request for an exponentially distributed time interval, after which the source attempts to initiate the request again. The object of study is the number of transmission delays during the establishment of communication between UAVs and the control center, which characterizes the performance not only of the control station but also of the entire network. To analyze the number of blocked requests, methods of asymptotic diffusion analysis, numerical analysis, and simulation modeling of the functioning of the considered model are applied. As a result, limiting, numerical, and simulation characteristics of the proposed model are obtained, and the domain of applicability of the results is established