Abstract
An elegant model of air traffic flow based on the extension of one-dimensional D- transforms is described. Multi-dimensional D-transforms of aircraft trajectories are derived and linearly combined to form the model of the air traffic environment. Unlike other aggregate models of air traffic flow, the D-transform model can preserve the trajectory details of individual aircraft. Moreover, it allows the algebraic treatment of aircraft delay and re-routing. The application of the D-transform models to air traffic flow control and other related air traffic management problems are discussed.
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