Estimation of Queuing System Incoming Flow Intensity

An estimation of the intensity of the incoming flow of requests and its statistical properties using maximum likelihood method is made based on the provided basic probabilistic model of the utilization factor of a single-channel queuing system. It is shown that the synthesized estimate can be explicitly represented analytically and allows a technically much simpler implementation compared to its common analogues, with comparable or better accuracy and shorter observation time intervals. The obtained theoretical results are confirmed experimentally during simulation by means of AnyLogic software.