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Queueing Models for 4D Trajectory-Based Aircraft Operations in NextGen

Queueing Models for 4D Trajectory-Based Aircraft Operations in NextGen

Authors :
Mark Hansen
Tasos Nikoleris
Source :
9th AIAA Aviation Technology, Integration, and Operations Conference (ATIO).
Publication Year :
2009
Publisher :
American Institute of Aeronautics and Astronautics, 2009.

Abstract

*† This paper develops a queueing model for aircraft landings at a single runway under trajectory-based flight operations. The situation is expected to arise in the Next Generation Air Transportation System. Aircraft are assigned scheduled times of arrival, which they meet with some stochastic error. It is assumed that errors are small enough for scheduled order to be maintained, and they follow a normal distribution. A recursive queueing model is formulated, and Clark's approximation for the maximum of a finite set of random variables is employed to analytically approximate the mean and variance of flight delays. For a given airport demand and capacity it is shown that total delay is proportional to the standard deviation of the stochastic error; this result facilitates the estimation of the system's total delay through lookup tables. The approximation method is found to be reasonably accurate and very fast computationally.

Details

Database :
OpenAIRE
Journal :
9th AIAA Aviation Technology, Integration, and Operations Conference (ATIO)
Accession number :
edsair.doi...........429583e51ecfc3905f4e51f0f6365107
Full Text :
https://doi.org/10.2514/6.2009-7135