This paper presents a time-aware admission control and resource allocation scheme in the context of a future generation mobile network. The quality levels (and their respective utility) of the different connections are specified using discrete resource-utility (R-U) functions. The scheme uses these R-U functions for allocating and reallocating bandwidth to connections, aiming to maximise the accumulated utility of the system. However, different applications react differently to resource reallocations. Therefore at each allocation timepoint we take into account the following factors: the age of the connection, a drop (disconnection) penalty and the sensitiveness to reallocation frequency. Finally, we show the superior performance of our approach compared to a recent adaptive bandwidth allocation scheme.