Performance analysis for power saving class type III of IEEE 802.16e in WiMAX

In this paper, we present an effective method to analyze the performance of the networks using the power saving class type III based on the IEEE 802.16e standard in WiMAX with self-similar traffic. We characterize the self-similar traffic in multimedia wireless communication networks as a batch arrival and suppose that the batch size is a random variable following a Pareto(c, α) distribution. By using the discrete-time embedded Markov chain, we analyze the probability generating functions of the numbers of data frames and batches when the busy period begins, the queueing length, the waiting time and the busy cycle for the networks using the power saving class type III. Moreover, we give the formulas for the system performance in terms of the energy saving ratio, the handover ratio, the system utility and the response time of data frames. We also construct a cost function to determine the optimal sleep window lengths to make the cost of the system whole into the minimum. Numerical results are given with analysis and simulation to show the performance measures and optimal results with different degrees of self-similarity and different sleep window lengths.