Performance analysis of device-to-device communications with frequency reuse using Stochastic Petri Nets

This paper studies the queuing performance of direct communications between user equipments in cellular networks. Both the fast fading effects of the wireless channel and the dynamic variation of interference from a link associated with its backlogged state are considered in the service process description, which complicates the queuing model and results in the size of the underlying Markov process growing exponentially with the link number. We use the model decomposition and iteration approach in Stochastic Petri Nets (SPN) to deal with the coupling between the service rates of the different links and thus reduce the state space of the Markov process. Simulations are performed to verify the accuracy of the analytical results.