ALTERNATIVE METHOD TO SOLVE A VARIATIONAL INEQUALITY APPLIED TO AN AIR TRAFFIC CONTROL EXAMPLE
Some important problems of air traffic control, such as collision avoidance, can mathematically be formulated as problems of optimal stopping a diffusion. As shown, an optimal stopping policy can be characterized by a variational inequality (VI). To compute the solution of such a VI, a new iteration scheme is developed. The simplicity of this scheme is explicitly due to the assumption that the cost of stopping is a sufficiently smooth function of the state, which often holds for stopping problems. The scheme is applied to a simple example of air traffic control.
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Corporate Authors:
National Aerospace Laboratory, Netherlands
Amsterdam, Netherlands -
Authors:
- HEUVELINK, GBM
- Blom, HAP
- Publication Date: 1988
Media Info
- Pagination: 18 p.
Subject/Index Terms
- TRT Terms: Air traffic control; Crash avoidance systems; Mathematical models
- Subject Areas: Aviation; Highways; Operations and Traffic Management;
Filing Info
- Accession Number: 00487896
- Record Type: Publication
- Source Agency: National Technical Information Service
- Report/Paper Numbers: NLR-MP-87080-U
- Files: TRIS
- Created Date: Sep 30 1989 12:00AM