Delahaye et al 2014a - Revision history

Scipediacontent at 15:31, 21 January 2021

2021-01-21T15:31:56Z

Scipediacontent at 17:27, 14 October 2020

2020-10-14T17:27:12Z

Scipediacontent: Scipediacontent moved page Draft Content 388232013 to Delahaye et al 2014a

2020-10-14T14:08:57Z

Scipediacontent moved page Draft Content 388232013 to Delahaye et al 2014a

Scipediacontent: Created page with " == Abstract == International audience; Air traffic management ensures the safety of flight by optimizing flows and maintaining separation between aircraft. After giving some..."

2020-10-14T14:08:54Z

Created page with " == Abstract == International audience; Air traffic management ensures the safety of flight by optimizing flows and maintaining separation between aircraft. After giving some..."

New page

== Abstract ==

International audience; Air traffic management ensures the safety of flight by optimizing flows and maintaining separation between aircraft. After giving some definitions, some typical feature of aircraft trajectories are presented. Trajectories are objects belonging to spaces with infinite dimensions. The naive way to address such problem is to sample trajectories at some regular points and to create a big vector of positions (and or speeds). In order to manipulate such objects with algorithms, one must reduce the dimension of the search space by using more efficient representations. Some dimension reduction tricks are then presented for which advantages and drawbacks are presented. Then, front propagation approaches are introduced with a focus on Fast Marching Algorithms and Ordered upwind algorithms. An example of application of such algorithm to a real instance of air traffic control problem is also given. When aircraft dynamics have to be included in the model, optimal control approaches are really efficient. We present also some application to aircraft trajectory design. Finally, we introduce some path planning techniques via natural language processing and mathematical programming.

Document type: Part of book or chapter of book

== Original document ==

The different versions of the original document can be found in:

* [http://hal-enac.archives-ouvertes.fr/docs/00/91/32/43/PDF/Delahaye_EIWAC2013.pdf http://hal-enac.archives-ouvertes.fr/docs/00/91/32/43/PDF/Delahaye_EIWAC2013.pdf]

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 International audience; Air traffic management ensures the safety of flight by optimizing flows and maintaining separation between aircraft. After giving some definitions, some typical feature of aircraft trajectories are presented. Trajectories are objects belonging to spaces with infinite dimensions. The naive way to address such problem is to sample trajectories at some regular points and to create a big vector of positions (and or speeds). In order to manipulate such objects with algorithms, one must reduce the dimension of the search space by using more efficient representations. Some dimension reduction tricks are then presented for which advantages and drawbacks are presented. Then, front propagation approaches are introduced with a focus on Fast Marching Algorithms and Ordered upwind algorithms. An example of application of such algorithm to a real instance of air traffic control problem is also given. When aircraft dynamics have to be included in the model, optimal control approaches are really efficient. We present also some application to aircraft trajectory design. Finally, we introduce some path planning techniques via natural language processing and mathematical programming.
 == Original document ==
 The different versions of the original document can be found in:
 * [http://hal-enac.archives-ouvertes.fr/docs/00/91/32/43/PDF/Delahaye_EIWAC2013.pdf http://hal-enac.archives-ouvertes.fr/docs/00/91/32/43/PDF/Delahaye_EIWAC2013.pdf]

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