Performance Modelling of a Wireless GSM/GPRS Cell under Partial Sharing Scheme

Novel analytic and simulation methodologies are devised for the performance modelling and evaluation of a wireless GSM/GPRS cell with bursty multiple class flows of voice calls and data packets subject to a traffic handling partial sharing scheme (PSS). In this context, a delay network model is proposed consisting of two interacting multiple class GE-type delay systems, namely a GSM GE/GE/c/c loss system with c servers and a GPRS GE/GE/1/N/PS delay system with finite capacity N and discriminatory processor share (PS) transfer rule. The principle of maximum entropy (ME) is used to characterize analytic solutions, subject to appropriate GE-type delay theoretic mean value constraints and closed form expressions for state and blocking probability distributions are obtained. Furthermore, related simulation programs in Java are developed. Typical numerical examples are included to compare the ME solutions against simulation and to study the effect of bursty multiple class traffics upon the performance of the cell.