Performance analysis of a cellular mobile networkwith retrials and guard channels using waiting and first passage time measures

Abstract

Most studies of modern cellular mobile networks concern performance measures directly computable from the stationary state probabilities such as the blocking probability and the mean traffic rates of the various kinds of calls. In this paper, we consider a cellular mobile system with retrials and guard channels for the handover calls, but we concentrate on performance measures related to the waiting and first passage times of the system. More concretely, we first build a Markovian model representing a station of the network and then we study the waiting time of a customer, the idle times of the guard channels and the time between successive lost calls. These measures shed light on the behaviour of the system and quantify the quality of service from both points of view of the customer and the administrator. Several numerical results illustrate the effect of the system parameters in its performance.