Robust runway scheduling under uncertain conditions

Beitrag in einer Fachzeitschrift

Details zur Publikation

Autor(en): Heidt A, Helmke H, Kapolke M, Liers F, Martin A
Zeitschrift: Journal of Air Transport Management
Verlag: Elsevier
Jahr der Veröffentlichung: 2016
Band: 56
Heftnummer: Part A
Seitenbereich: 28-37
ISSN: 0969-6997
Sprache: Englisch


The runway is the main element that combines airside and groundside of the ATM System. Thus, it is crucial to develop efficient models and planning algorithms for its effective usage. The best planning algorithm, however, is useless if the resulting plans cannot be implemented in the real world. This often happens because the input data of the planning algorithms face disturbances or changes over time, respectively. For example, an estimated time of arrival/departure of an aircraft may be changed. It is usually not certain for the next ten hours.

In this work, we study the runway scheduling problem under uncertain conditions. First, we present mathematical optimization models that ignore uncertainties. In the most effective approach, we compute for every discretized point in time whether an aircraft is scheduled and if so, which one is. Then, in each planning step we take uncertainties into account. We then apply different robust optimization methods in order to devise solution approaches that lead to stable plans. These optimization approaches are integrated into a simulation tool and evaluated in different traffic scenarios.

The Monte-Carlo simulations for a mixed-mode runway system show that our robust approaches result in fewer sequence changes and target time updates, when compared to the usual approach in which the plan is simply updated in case of infeasibility. Thus, we show that protection against uncertainties by using robust optimization indeed leads to considerably more stable plans.


FAU-Autoren / FAU-Herausgeber

Heidt, Andreas
Lehrstuhl für Wirtschaftsmathematik
Kapolke, Manu
Lehrstuhl für Wirtschaftsmathematik
Liers-Bergmann, Frauke Prof. Dr.
Professur für Diskrete Optimierung in den Ingenieurwissenschaften
Martin, Alexander Prof. Dr.
Lehrstuhl für Wirtschaftsmathematik

Zusätzliche Organisationseinheit(en)
Lehrstuhl für Wirtschaftsmathematik

Autor(en) der externen Einrichtung(en)
Deutsches Zentrum für Luft- und Raumfahrt e.V. (DLR)


Heidt, A., Helmke, H., Kapolke, M., Liers, F., & Martin, A. (2016). Robust runway scheduling under uncertain conditions. Journal of Air Transport Management, 56(Part A), 28-37.

Heidt, Andreas, et al. "Robust runway scheduling under uncertain conditions." Journal of Air Transport Management 56.Part A (2016): 28-37.


Zuletzt aktualisiert 2018-17-10 um 13:20