Robust runway scheduling under uncertain conditions

Journal article

Publication Details

Author(s): Heidt A, Helmke H, Kapolke M, Liers F, Martin A
Journal: Journal of Air Transport Management
Publisher: Elsevier
Publication year: 2016
Volume: 56
Journal issue: Part A
Pages range: 28-37
ISSN: 0969-6997
Language: English


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 Authors / FAU Editors

Heidt, Andreas
Economics - Discrete Optimization - Mathematics (EDOM)
Kapolke, Manu
Economics - Discrete Optimization - Mathematics (EDOM)
Liers-Bergmann, Frauke Prof. Dr.
Professur für Angewandte Mathematik (Ganzzahlige und robuste Optimierung)
Martin, Alexander Prof. Dr.
Economics - Discrete Optimization - Mathematics (EDOM)

Additional Organisation
Economics - Discrete Optimization - Mathematics (EDOM)

External institutions with authors

Deutsches Zentrum für Luft- und Raumfahrt e.V. (DLR)

How to cite

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.


Last updated on 2018-17-10 at 13:20