“…Zhang et al [25] and Kim et al [7,8] analyzed the power consumption and mean delay for uplink and downlink traffic by focusing on a sleep mode duration in the IEEE 802.16e. In [7,8,22,23,25], traffic pattern in their models is a Poisson process, whereas for non-Poisson traffic pattern models, we refer to [15] for Erlang distributed inter-arrival time, [26] for hyper-Erlang distributed inter-arrival time, and [20] for a discrete batch Markov arrival process. Also, see [16,27] for theoretical (phasetype) Markov chain models of PSC I, and see [2,10,11] for comparison and optimal selection of PSC I and PSC II in IEEE 802.16e.…”