Robust Runway Scheduling using a time-indexed model

Heidt A, Helmke H, Liers F, Martin A (2014)

Publication Language: English

Publication Type: Book chapter / Article in edited volumes

Publication year: 2014

Edited Volumes: Proceedings of the SESAR Innovation Days 2014

Conference Proceedings Title: Proceedings of the SESAR Innovation Days 2014

Event location: Madrid ES

ISBN: 978-2-87497-077-1

Abstract

The runway system is the main element that combines airside and groundside of the ATM System. Efficient models and planning algorithms are required. The best planning algorithm, however, is useless if the resulting plans cannot be implemented in the real word. This often happens because the input data of the planning algorithms is disturbed respectively it changes. For example, an estimated time of an aircraft is not stable for the next ten hours. These disturbances are not deterministic, but often their stochastic distributions with mean values and standard deviations are known. We present a robust model together with an optimization algorithm which explicitly incorporates the knowledge of uncertainty into each planning step. Our approach transforms the planning problem into an assignment problem with side constraints. We compute for every discretized point in time whether an aircraft is scheduled and if so, which one is. Experimentally, we show that running times are better than when using a different non-linear integer optimization model. Our Monte-Carlo simulation for a mixed-mode runway system shows that our approach results in fewer sequence changes and target time updates compared to the usual approach of just updating the plan if the actual plan is not feasible any more.

Authors with CRIS profile

Andreas Heidt Economics - Discrete Optimization - Mathematics (EDOM) Frauke Liers-Bergmann Professur für Optimization under Uncertainty & Data Analysis Alexander Martin Economics - Discrete Optimization - Mathematics (EDOM)

Additional Organisation(s)

Economics - Discrete Optimization - Mathematics (EDOM)

Involved external institutions

Deutsches Zentrum für Luft- und Raumfahrt e.V. (DLR) / German Aerospace Center DE Germany (DE)

How to cite

APA:

Heidt, A., Helmke, H., Liers, F., & Martin, A. (2014). Robust Runway Scheduling using a time-indexed model. In D.~Schäfer (Eds.), Proceedings of the SESAR Innovation Days 2014..

MLA:

Heidt, Andreas, et al. "Robust Runway Scheduling using a time-indexed model." Proceedings of the SESAR Innovation Days 2014. Ed. D.~Schäfer, 2014.

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