Optimization of the (MAP1, MAP2)/(PH1, PH2)/N retrial queue model of wireless cellular networks with channel allocation

We consider a queueing model with N channels and an orbit with infinite waiting positions to model a specific cell in wireless networks. It is assumed that handoff and new calls have different arrival rates of Markov Arrival Process (MAP) and their channel holding time distributions are different Phase-type (PH) distributions. We analyze the Markov chain underlying the queueing system and obtain its ergodicity condition. Using matrix analytic techniques, we derive many performance measures such as the blocking probability of new calls and the dropping probability of handoff calls, the idle probability of the target cell, the mean queue lengths of two types of calls. We give numerical results to show the impact of system parameters on performance measures.