Loop Transmission Systems--Mean Value Analysis

A simple analytical model is developed for loops with centralized control, random slot seizure, and fixed slot duration. Slots are assumed to be generated at regular intervals, regardless of whether they are utilized or not, while requests for service at terminals attached to the loop are described by Poisson arrival statistics, For loops used for data collection, mean waiting-line lengths and queue lengths are obtained both at instants when slots are due to arrive and at instants of arrivals of requests for service. Mean waiting times and queueing times are computed and the relative efficiencies of different loop sizes compared. Simultaneous data collection and distribution is also considered and the degradation in data-collection service due to use of resources for data distribution is plotted.