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In the context of the IEEE 802.16e standard, a dual power-saving mode (DPSM) algorithm for voice over IP (VoIP) traffic whose voice codec supports voice activity detection is proposed. The proposed algorithm utilises the inactivity of the voice codec of each conversing party during mutual silence periods. Using the suggested method, the length of the sleep intervals varies during mutual silence periods, while during talk-spurt periods it is fixed according the VoIP packet generation ratio. The performance of the proposed DPSM algorithm for the average packet-buffering delay in the base station (BS) and the energy consumption of a mobile station (MS) is evaluated numerically and validated with the aid of computer simulation. The results show that when the proposed combined method is used, the energy consumption of an MS is considerably less when a PSM that only uses sleep intervals of a fixed length is operating. This improvement in performance comes at the cost of greater packet-buffering delay in the BS.