“…As this pushback rate approaches the maximum throughput, large queues are formed at the departure runway, in addition to conflicts happening at other points on the surface. While there have been several studies that aim to relieve surface congestion [1], [2], [3], [4], [5], [6], they typically either fail to consider the inherent stochasticity of aircraft movement and pilot behavior, or are intrinsically numerical in nature. This work presents a formulation that explicitly accounts for stochastic taxi-out behavior, while providing insight into the system via an analytical treatment of airport performance.…”