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This paper describes an adaptive scheme for Call Admission Control (CAC) for multi-class service wireless cellular networks. The proposed CAC scheme can be achieved through call bandwidth borrowing and call preemption techniques according to the priorities of the traffic classes, using complete sharing of the available bandwidth. However, the CAC scheme maintains QoS in each class to avoid performance deterioration through mechanisms for call bandwidth degradation, and call bandwidth upgrading based on fair resource deallocation and allocation. Simulation experiments show that the proposed CAC scheme outperforms existing methods for different QoS metrics.