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The application of the fast gradient method to the dual QP leads to the Dual Fast Projected Gradient (DFPG) method. The DFPG converges with O k −2 rate, where k > 0 is the number of steps. At each step, it requires O (nm) operations. Therefore for a given ε > 0 an ε-approximation to the optimal dual function value one achieves in O nmε − 1 2 operations. We(More)
Scheduling elective surgeries is a complicated task due to the coupled effect of multiple sources of uncertainty and the impact of the proposed schedule on the downstream units. In this paper, we propose an adaptive robust optimization model to address the existing uncertainty in surgery duration and length-of-stay in the surgical intensive care unit. The(More)
Over the last two decades the successes of Traffic Flow Management (TFM) initiatives have successfully decreased the airborne delay for the flights in the National Airspace System (NAS). The next opportunity for efficiency improvement is airport surface operations. Research on surface operations has focused on methods of analysis and metrics using(More)
The evolution of Air Traffic Control (ATC) and Traffic Flow Management (TFM) over the last decade has resulted in improved coordination of departures and enroute trajectories to minimize airborne congestion and airborne holding. Since the system is a “closed-system,” the effect of these changes has been to shift airborne holding, to holding(More)
When airport arrival slots are scheduled in excess of the available capacity, the scheduled flights are assigned slots by a rationing scheme. The traditional approach is to ration slots by schedule (RBS) on a first-scheduled/first-assigned basis. This approach, although meeting equity criteria, can result in inefficient use of the arrival slots in terms of(More)
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