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Automatic Design of Aircraft Arrival Routes with Limited Turning Angle Granberg, Tobias Andersson Polishchuk, Tatiana Polishchuk, Valentin Schmidt, Christiane Air Traffic Management Standard Terminal Arrival Routes Standard Instrument Departures Integer programming Turn constraints We present an application of Integer Programming to the design of arrival routes for aircraft in a Terminal Maneuvering Area (TMA). We generate operationally feasible merge trees of curvature-constrained routes, using two optimization criteria: (1) total length of the tree, and (2) distance flown along the tree paths. The output routes guarantee that the overall traffic pattern in the TMA can be monitored by air traffic controllers; in particular, we keep merge points for arriving aircraft well separated, and we exclude conflicts between arriving and departing aircraft. We demonstrate the feasibility of our method by experimenting with arrival routes for a runway at Arlanda airport in the Stockholm TMA. Our approach can easily be extended in several ways, e.g., to ensure that the routes avoid no-fly zones. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Tobias Andersson Granberg and Tatiana Polishchuk and Valentin Polishchuk and Christiane Schmidt 2016 Is Part Of OASIcs, Volume 54, 16th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2016) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/OASIcs.ATMOS.2016.9 urn:nbn:de:0030-drops-65336 https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.ATMOS.2016.9 eng https://creativecommons.org/licenses/by/3.0/legalcode