We consider the sleep mode algorithm of IEEE 802.16e mobile networks where a mobile station may switch off the transceiver and go into sleep mode in order to save power. Depending on the underlying application, different algorithms are defined in the standard. In practice, a hybrid combination of the sleep mode algorithms will be used in a mobile. In this paper, we build a novel performance model that captures the behavior of a single sleep mode algorithm. Moreover, we provide an accurate approximation for the hybrid case. Finally, the model is used to select the standard-compliant sleep window strategy which satisfies a given (approximative) delay constraint and minimizes the energy usage.
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