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Communication dans un congrès

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.
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Communication dans un congrès
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https://hal-enac.archives-ouvertes.fr/hal-03313081
Contributeur : Georges Mykoniatis Connectez-vous pour contacter le contributeur
Soumis le : mardi 3 août 2021 - 11:53:47
Dernière modification le : mardi 19 octobre 2021 - 11:02:55
Archivage à long terme le : : jeudi 4 novembre 2021 - 18:49:29

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FC2A- Air Traffic Complexity V...
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  • HAL Id : hal-03313081, version 1

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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⟩

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