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We consider a single-access system where high bit-rate communication systems constrain the propagation delay between users and the base station. In this scenario, we found that existing channel reservation schemes cannot guarantee the satisfaction to all users regarding different quality of service (QoS). Thus in this paper, we propose two new channel reservation schemes which take into consideration priority service to more delay-sensitive multimedia traffic, namely, UNI+MLA, and Partial UNI+MLA schemes for multimedia traffic, an extension of our recently proposed UNI+LA scheme for single-class traffic. The goal is to achieve the highest system performance and enable each traffic type to meet its QoS requirements. We evaluate the performance of each scheme by mathematical analysis. The numerical results show that our proposed schemes are effective in enabling different traffic users to achieve the best successful rate possible in this kind of environment.