Stephen Bique, Ph.D.
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Suppose you know the departure delay, but the plane has not yet left the gate. Presumably, the pilot will eventually give the best answer when more information is available. What is a good estimate of the arrival delay as soon as you know the likely departure delay? As our illustration shows, a guess that the arrival delay is the departure delay turns out to yield on average the worst relative error (blue).
A much better estimate is obtained using the best regression line with the departure delay as the independent variable (orange). We introduce a new model which yields on average the smallest relative error (green).
We propose the following model to estimate the arrival delay:
departure delay + flight time + taxi-in + taxi-out - elapsed
We conducted studies to find good estimates for the chosen variables to minimize relative error in the predicted arrival delay.
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