A critical review of Stevens' and Sinclair's equation

Abstract

A finite-source queuing model is very useful in determining performance equations, probability of delay of users who queue for a free server when all servers are busy. The aim of this paper is to critically examine and analyze Stevens' and Sinclair's equation to show that it is a performance equation for the probability of delay in private mobile radio (PMR) systems. We analyze such an equation mathematically and present a computational program using MATLAB. The system is an M/M/r/K/K queuing model with finite sources of traffic. Some of the basic traffic characteristics and assumptions are also reviewed.