Performance evaluation of self-similar traffic in multimedia wireless communication networks with power saving class type III in IEEE 802.16e

In this paper, we present a theoretical analysis to numerically evaluate the system performance of multimedia wireless communication networks with power saving class type III in IEEE 802.16e for self-similar traffic. Our model is based on system operations using a batch arrival, and we suppose the batch size to be a random variable following a Pareto(c, α) distribution in order to capture the self-similar property. By using a discrete-time embedded Markov chain, we derive the probability generating functions of the number of data frames and batches for when the busy period begins and for when the system is in a busy cycle. Using the first and higher moments of the probability generating functions, we give the averages and the standard deviation for the system performance in the diffusion approximation for the operation process of the system. In numerical results, we show the performance measures such as the energy saving ratio, plus the average and the standard deviation for the handover ratio with different system parameters as examples.