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This work describes an adaptive Call Admission Control (CAC) scheme for multi-class service wireless cellular networks. The proposed scheme uses complete sharing approach of the available bandwidth among all traffic classes. The proposed adaptive CAC is achieved through call bandwidth borrowing and call preemption techniques based on the priorities of the traffic classes. The CAC scheme achieves the QoS in each class through mechanisms for call bandwidth degradation, and call bandwidth upgrading based on Min-Max and Max-Min policies for fair resource deallocation and allocation. The simulation results of the proposed adaptive CAC scheme show the strength and effectiveness of our proposed scheme compared to other schemes.