Performance of iCAR systems: a simplified analysis technique

In this paper, a simplified analysis technique for the integrated cellular and Ad hoc relay (iCAR) systems is presented. First, a simple two-cell system is analyzed using a multi-dimensional Markov-chain. The performance metric employed is the call blocking probability of each cell in the system. To this end, first a closed-form expression for the call blocking probability in the two-cell system is provided. Then, it is shown that these closed-form expressions could be used to analyze more practical systems. The accuracy of the developed simple analytical expressions is checked and verified by comparing the results predicted by these analytical expressions with simulation results. It is shown that there is an excellent match between analytical and simulation results.