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The authors investigate how much power saving can be achieved for a Push-To-Talk (PTT) service by employing sleep mode and idle mode in the IEEE 802.16e. In this paper, a mobile station by employing sleep mode during an on-session and idle mode during an off-session of the PTT service is modeled as a semi-Markov chain. They obtain power consumption of the mobile station, call setup delay and talker arbitration delay. Using their mathematical model, they can find the optimal sleep window satisfying the required Quality of Service (QoS) on call setup delay and talker arbitration delay. The numerical examples show that the sleep mode and idle mode provide a considerable reduction on energy of the mobile stations.
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