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Call admission control schemes play more important role in wireless cellular networks. They are used for achieving some desired quality of service parameters. An important challenge in these schemes is defining some realistic assumptions such as different channel holding times for new and handoff calls. In this paper we will introduce a new call admission control scheme based on the concepts of new call bounding scheme and thinning scheme II. We will study its performance and will derived new call blocking probability and handoff call dropping probability for this scheme. Numerical results show that our proposed scheme outperform two other schemes.