On the convergence of an iterative method for approximate analysis of a resource queuing system with signals

Modern wireless networks are characterized by high user mobility. This factor can lead to changes in the quality of the channel during the lifetime of the interaction session. In order to take into account the fact of user movement in a queuing system with limited resources, signals are introduced. In this paper, an approximate model with signals is constructed. The simplification is to replace the signal with a new flow of requests. The mathematical proof of the method is given and the probabilistic-time characteristics are calculated.