抄録
In mobile networks, how to control energy consumption is one of the most important issues for the battery-powered mobile stations. The standard energy-saving mechanism for conserving power of the mobile stations is “sleep mode”. Based on the operating mechanism of the sleep mode in the conventional power saving class (PSC) type III, and taking into account the self-similar nature of a massive-scale wireless multimedia service, in this paper, we build a batch arrival queueing model as a GeomX/G/1 queuing model to suppose the batch size as a random variable following a Pareto(c,α) distribution. By using a discrete-time imbedded Markov chain, we analyze the probability generating functions of the queueing length and the waiting time of the system. Then we give the formula for performance measures in terms of the response time of data frames and the energy saving ratio. Moreover, we consider a sleep-delay into the system to consider how the sleep-delay impacts on the network performance. In numerical results, we evaluate the system performance when considered with different degrees of self-similarity and different sleep window sizes. We also compare the average performance measures for systems both with sleep-delay and without sleep-delay by using numerical results.