METHODS OF DETERMINING THE PARAMETERS OF THE PERFORMANCE OF RANDOM MULTIPLE ACCESS WITH MULTIPLE REQUESTS

Abstract

Random Multiple Access System with streams of non-traditional requests are being researched. Mathematical models of these systems are queuing systems (QS) with multiple requests. Each  request consists of multiple pulses. Overlapping of such requests leads to data loss in these systems. The algorithm for computing the "interval intersection" of two requests is offered. Estimating the probability of intersection of these requests is determined. A method of research of the replacement of QS stream with multiple requests by a QS stream with single request is developed. Sufficient conditions for such a replacement were found. Introduced is the concept of a system with limited  aftereffect and equivalent stream  in the proof, Some features, such  as aplurality of requests, are typical requests in computer and wireless networks, where these networks use multiple access  medium. This allows us to obtain some indicators of the functioning of such networks