Integration methods for aircraft scheduling and trajectory optimization at a busy terminal manoeuvring area

Marcella Samà (), Andrea D’Ariano, Konstantin Palagachev and Matthias Gerdts
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Marcella Samà: Roma Tre University
Andrea D’Ariano: Roma Tre University
Konstantin Palagachev: Universität der Bundeswehr München
Matthias Gerdts: Universität der Bundeswehr München

OR Spectrum: Quantitative Approaches in Management, 2019, vol. 41, issue 3, No 3, 681 pages

Abstract: Abstract This paper deals with the problem of efficiently scheduling take-off and landing operations at a busy terminal manoeuvring area (TMA). This problem is particularly challenging, since the TMAs are becoming saturated due to the continuous growth of traffic demand and the limited available infrastructure capacity. The mathematical formulation of the problem requires taking into account several features simultaneously: the trajectory of each aircraft should be accurately predicted in each TMA resource, the safety rules between consecutive aircraft need to be modelled with high precision, the aircraft timing and ordering decisions have to be taken in a short time by optimizing performance indicators of practical interest, including the minimization of aircraft delays, travel times and fuel consumption. This work presents alternative approaches to integrate various modelling features and to optimize various performance indicators. The approaches are based on the resolution of mixed-integer linear programs via dedicated solvers. Computational experiments are performed on real-world data from Milano Malpensa in case of multiple delayed aircraft. The results obtained for the proposed approaches show different trade-off solutions when prioritizing different indicators.

Keywords: Air traffic; Take-off and landing operations; Optimal control; Job shop scheduling; Mixed-integer linear programming; Pareto efficiency (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (7)

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DOI: 10.1007/s00291-019-00560-1

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