Modelling and Performance Analysis of Cellular Mobile Networks

Background/Objective: The Quality of Service (QoS) accustomed by individual customers is an important factor to determine the system performance. The present paper deals with the performance analysis of cellular mobile networks. Analysis/Methods: A cell of mobile communication network is considered and number of customers (m) generating the calls are taken as finite. Two channels are declared as guard channels whose access has been prohibited for the fresh calls. Moreover, a ‘b’ factor has been introduced, considering the case of spam calls and then analysis has been done on it. For the model, we have obtained steady state equations and later solved them by the matrix recursive method. Findings: As the number of customer’s increase, making the network more complex, it is untrue that the customer behavior will have a neglectable impact on the network performance. In this paper, we focus on the effect of various parameters on the QoS in a cellular mobile network. Also, the novelty in this paper is of the spam calls wherein it was found that if there is an incoming spam call, then that call will not reach the server and hence will be blocked. By using matrix method and MATLAB, the steady state equations are solved. The different state probabilities are obtained and various performance measures have been formulated analytically and thus numerical simulation is done. Like, the effect of retrial rate on various measures like probability of fresh call being successful, handover call being successful is studied. Various graphs and tables are constructed to demonstrate the data depicting sensitivity analysis of various factors on performance measures. Applications: The present work in itself is an application based study. This can be considered as an application of retrial queueing theory to mobile and communication networks. Moreover, in its original form it is applicable to telecommunication and mobile systems.