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Aerospace 2018, 5(3), 80; https://doi.org/10.3390/aerospace5030080

Robust Optimization of Airplane Passenger Seating Assignments

1
David D. Reh School of Business, Clarkson University, 333 B.H. Snell Hall, Potsdam, NY 13699, USA
2
Department of Civil Engineering, Schulich School of Engineering, University of Calgary, 2500 University Drive NW, Calgary, AB T2N 1N4, Canada
These authors contributed equally to this work.
*
Author to whom correspondence should be addressed.
Received: 26 June 2018 / Revised: 17 July 2018 / Accepted: 23 July 2018 / Published: 1 August 2018
(This article belongs to the Collection Air Transportation—Operations and Management)
Full-Text   |   PDF [409 KB, uploaded 1 August 2018]   |  

Abstract

We present a method that reduces the time it takes to complete the passenger boarding of an airplane. In particular, we describe a two-stage mixed integer programming (MIP) approach, which assigns passengers to seats on an airplane based on the number of bags they carry aboard the plane. The first stage is an MIP that assigns passengers to seats to minimize the time to complete the boarding of the plane. The second-stage MIP also determines seating assignments, while constraining the total boarding time to that determined by the stage-one MIP and maximizing weighted slack times to provide a more robust assignment. Numerical results show that this two-stage approach results in lower average boarding times than the one-stage approach, when the time it takes passengers to walk and sit in their seats is random. Experiments indicate that the magnitude of the improvement is not very sensitive to variations in the slack time weights. View Full-Text
Keywords: airplane boarding; passenger luggage; mixed integer programming (MIP); slack times; robust optimization airplane boarding; passenger luggage; mixed integer programming (MIP); slack times; robust optimization
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Milne, R.J.; Salari, M.; Kattan, L. Robust Optimization of Airplane Passenger Seating Assignments. Aerospace 2018, 5, 80.

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