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Non-real-time services are an important category of network services in future wireless networks. When mobile users access non-real-time services, mobile users are usually concerned with the total time to complete their data transfer. In addition, system providers expect that channel utilization should be as high as possible because radio channels are limited. Therefore, it is crucial to design a system that satisfies the total completion time requirement of mobile users while maximizes channel utilization. In this paper, we design an optimal call admission control scheme that uses two thresholds; one threshold is used to determine whether or not to accept a new call arrival into a cell, and the other threshold is used to limit the total number of calls in a cell. An analysis is developed to evaluate the performance of the proposed call admission control scheme. Numerical results show that the proposed scheme not only …