We evaluate different call admission control policies in various multiservice cellular scenarios. For each of the studied policies we obtain the maximum calling rate that can be offered to the system to achieve a given QoS objective defined in terms of blocking probabilities. We propose an optimization methodology based on a hill climbing algorithm to find the optimum configuration for most policies. The results show that policies of the trunk reservation class outperform policies that produce a product-form solution and the improvement ranges approximately between 5 and 15% in the scenarios studied.