Mathematical analysis of highly scalable cognitive radio systems using hybrid game and queuing theory

A novel mathematical analysis comprising a hybrid combination of queuing and game theories to reduce the blocking probability for cognitive radio systems is presented in this work. This combination also considers modulation and adaptive coding schemes that determine which resources are designated to each user involved in the queue. The proposed mathematical model shows convergence to the performed simulations. The results show that the blocking probability of the primary and secondary users is considerably reduced with the proposed strategies when compared to a conventional system, meaning without the use of any specific strategy. The blocking probability for the different tested scenarios reduces by a factor of 10 or above, if the maximum available resources are considered. As a consequence, this improves the system performance by using as many assets as possible without interference among users in the assigned spectrum. The results show that for a cognitive system, the strategies proposed in this work improve general performance and decrease blocking probability.