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One of the basic QoS service classes in IEEE 802.16 network is best effort (BE). This service class supports services that don't need any QoS requirements like minimum bandwidth. However many of existing demands like Web browsing and FTP involve in this class. Channel access mechanism in BE is based on stand-alone bandwidth requests in bandwidth request contention periods. In this paper we investigate channel access saturation delay of IEEE 802.16 best effort services via analytical modeling. Simulation results validate our model.