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In wireless communication networks, power saving is an important issue and sleep mode is usually used to prolong battery life time of mobile devices; when there is no data to transmit or receive, a mobile device can switch to sleep mode periodically. Apparently, there is a trade-off between power saving and response delay, and the performance of a power saving mechanism depends on the user traffic characteristics and how well the sleep interval updating mechanism can capture the termination time of an idle period. In essence, sleep interval updating is a standard inspection problem in operational research. In this paper, we model the idle durations of a mobile device by Weibull distributions and propose to use the density based inspection strategy of Weibull distribution to schedule the sleep intervals of mobile devices. The proposed scheme is compared with the power saving mechanism of IEEE802.16e under a wide variety traffic conditions. Numerical examples are provided to show the effectiveness of the proposed scheme.