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Analysis of aeroplane boarding via spacetime geometry and random matrix theory

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E Bachmat1, D Berend1,2, L Sapir3, S Skiena4 and N Stolyarov1

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LETTER TO THE EDITOR

We show that aeroplane boarding can be asymptotically modelled by two-dimensional Lorentzian geometry. Boarding time is given by the maximal proper time among curves in the model. Discrepancies between the model and simulation results are closely related to random matrix theory. The models can be used to explain why some commonly practised airline boarding policies are ineffective and even detrimental.


PACS

02.40.-k Geometry, differential geometry, and topology

02.10.Yn Matrix theory

MSC

15A52 Random matrices

53B30 Lorentz metrics, indefinite metrics

Subjects

Mathematical physics

Dates

Issue 29 (21 July 2006)

Received 2 February 2006

Published 5 July 2006



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