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In the current development of all IP networks different traffic classes, which are used for different services will share the same bandwidth resources of the network. For effective usage of the system resources, arrivals for some low priority traffic classes could be rejected in cases when risk of having overload is high. In this paper, the use of connection admission control (CAC) algorithm together with scheduler optimizing is considered. The scheduler is functioning according to the optimal weight allocation for each traffic class, and CAC is based on the current utilization of the scheduler. Also one traffic class, which is referenced as "voice" class has more priority compared to others. For the scheduler optimization, revenue function is considered with linear approximation and the adaptive weights are found based on Lagrangian relaxation. To show the accuracy of the use of CAC algorithm, simulation results are presented and analyzed.