An exemplary method of controlling communications that may include enhanced dedicated channel (E-DCH) traffic includes setting a total uplink power limit below an allowable power limit. A minimum amount of uplink resources is allocated to each user requesting E-DCH service on an individual user basis such that a cumulative E-DCH power allocation satisfies a selected minimum E-DCH power allocation threshold. A determination whether to grant a non-E-DCH service request is made based upon a relationship between the current total uplink power and the total uplink power limit and a relationship between the selected minimum E-DCH power allocation threshold and a current cumulative E-DCH power.