Starting in 2010, the FAA began using new traffic flow management initiatives called Traffic Management Advisor Flow Programs to control flights destined for capacity-limited airports. This study explores through fast-time simulations the impact of these new traffic management initiatives on Hartsfield-Jackson Atlanta International Airport arrival operations. The emphasis of this study is on examining the distribution of delays for flights included and exempted from this new initiative. Of the 476 flights included in the Traffic Management Advisor Flow Programs, the results showed that when Atlanta was operating near maximum capacity, the mean total delay assigned to these flights was 31.6 minutes. However, the mean total delay increased to over 49.3 minutes when the airport capacity was reduced by 25%. In contrast, for the 408 arrivals that were exempt from the Traffic Management Advisor Flow Program the mean delay assigned to these flights by the Traffic Management Advisor was found to increase from 6.5 minutes when the airport was operating near maximum capacity to 24.8 minutes when the capacity was reduced by 25%. The experiments clearly illustrated the potential for imbalance in the distribution of delays assigned to the flights included within and exempt from the Traffic Management Advisor Flow Program. The mean total delay experienced by the included flights was between 85% and 99% higher than the delays experienced by the exempt flights. To alleviate this imbalance, a simulation-based approach is presented for selecting the "best" flow rate to reduce this imbalance, when developing a Traffic Management Advisor Flow Program. This approach depends on the arrival demand, airport configuration, and acceptance rate.