Third generation wireless systems can simultaneously accommodate flow transmissions of users with widely heterogeneous applications. As resources are limited (particularly in the air interface), admission control is necessary to ensure that all active users are accommodated with sufficient capacity to meet their specific Quality of Service requirements. Our admission control rule protects users with stringent capacity requirements (“streaming traffic”) while offering sufficient capacity over longer time intervals to delay-tolerant users (“elastic traffic”). Performance evaluation of wireline differentiated-services platforms is already difficult due to the inherently large dimensionality of models to capture the diversity of user applications. In wireless systems, this is further exemplified as the location of users adds to the dimensionality problem. Using time-scale decomposition, we develop approximations to evaluate the performance of a differentiated admission contr...