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Flight Gate Assignment with a Quantum Annealer

Lobe, Elisabeth and Stollenwerk, Tobias (2019) Flight Gate Assignment with a Quantum Annealer. Qubits Europe 2019, 25. - 27.03.2019, Mailand, Italien.

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Abstract

Optimal Flight gate assignment is a highly relevant optimization problem from airport management. Among others, an important goal is the minimization of the total transit time of the passengers. The corresponding objective function is quadratic in the binary decision variables encoding the flight-to-gate assignment. Hence, it is a quadratic assignment problem being hard to solve in general. In this work we investigate the solvability of this problem with a D-Wave quantum annealer. These machines are optimizers for quadratic unconstrained optimization problems (QUBO). Therefore the flight gate assignment problem seems to be well suited for these machines. We use real world data from a mid-sized German airport as well as simulation based data to extract typical instances small enough to be amenable to the D-Wave machine. In order to mitigate precision problems, we employ bin packing on the passenger numbers to reduce the precision requirements of the extracted instances. We find that, for the instances we investigated, the bin packing has little effect on the solution quality. Hence, we were able to solve small problem instances extracted from real data with the D-Wave 2000Q quantum annealer.

Item URL in elib:https://elib.dlr.de/128866/
Document Type:Conference or Workshop Item (Speech)
Title:Flight Gate Assignment with a Quantum Annealer
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Lobe, ElisabethElisabeth.Lobe (at) dlr.dehttps://orcid.org/0000-0002-3473-8906
Stollenwerk, TobiasTobias.Stollenwerk (at) dlr.dehttps://orcid.org/0000-0001-5445-8082
Date:26 March 2019
Refereed publication:No
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Status:Published
Keywords:Quadratic Assignment Problem, QUBO, Quantum Annealing, Airport Planning
Event Title:Qubits Europe 2019
Event Location:Mailand, Italien
Event Type:international Conference
Event Dates:25. - 27.03.2019
Organizer:D-Wave Systems
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Space Technology
DLR - Research area:Raumfahrt
DLR - Program:R SY - Technik für Raumfahrtsysteme
DLR - Research theme (Project):R - Quantencomputing
Location: Köln-Porz
Institutes and Institutions:Institut of Simulation and Software Technology > High Performance Computing
Deposited By: Lobe, Elisabeth
Deposited On:12 Nov 2019 11:16
Last Modified:12 Nov 2019 11:16

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