Skip to Main content Skip to Navigation
Conference papers

AIR TRAFFIC COMPLEXITY THROUGH LOCAL COVARIANCE IN THE CONTEXT OF LARGE AREAS OF OPERATIONS

Abstract : The notion of air traffic complexity has many facets and can be related to workload, which is a perception of a given situation by a human controller or to disorder, which is intrinsic. The present work falls within the second category and aims at computing the level of organization in a neighborhood of a point on the earth. It is based on a two steps approach: in the first one, a smooth time-dependent vector field is inferred from the sampled traffic using local linear models. Since positions are measured on a sphere, some special care must be taken as it is not a vector space. Using the Levi-Civita connection and its associated parallel transport, a local linear model can be defined in the tangent space at any point. The time evolution is captured through the kernel function that take the form of a product with one term being time dependent. In a second phase, the underlying dynamical is characterized at each point using a symmetric positive definite matrix. Thanks to the Riemannian manifold structure of the set of such matrices, a complexity indicator is then defined.
Document type :
Conference papers
Complete list of metadata

https://hal-enac.archives-ouvertes.fr/hal-03313081
Contributor : Georges Mykoniatis <>
Submitted on : Tuesday, August 3, 2021 - 11:53:47 AM
Last modification on : Thursday, August 5, 2021 - 3:07:23 AM

File

FC2A- Air Traffic Complexity V...
Files produced by the author(s)

Identifiers

  • HAL Id : hal-03313081, version 1

Collections

Citation

Georges Mykoniatis, D Dohy. AIR TRAFFIC COMPLEXITY THROUGH LOCAL COVARIANCE IN THE CONTEXT OF LARGE AREAS OF OPERATIONS. 9th International Conference on Experiments/Process/System Modeling/Simulation/Optimization, Jul 2021, Athens, Greece. ⟨hal-03313081⟩

Share

Metrics

Record views

17

Files downloads

12