This paper reviews the current state of the art in the rapidly developing areas of ATM traffic controls and traffic modeling, and identifies future research areas to facilitate the implementation of control methods that can support a desired quality of service without sacrificing network utilizations. Two sets of issues are identified, one on the impacts of realistic traffic on the efficacy of traffic controls in supporting specific traffic management objectives, and the other dealing with the extend to which controls modify traffic characteristics. These issues are illustrated using the example of traffic shaping of individual ON-OFF sources that have infinite variance sojourn times.