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Analysis of aeroplane boarding via spacetime geometry and random matrix theory

2006; Institute of Physics; Volume: 39; Issue: 29 Linguagem: Inglês

10.1088/0305-4470/39/29/l01

1361-6447

Eitan Bachmat, Daniel Berend, Luba Sapir, Steven Skiena, Natan Stolyarov,

Spatial and Panel Data Analysis

We show that airplane boarding can be asymptotically modeled by 2-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. We then show how such models can be used to explain why some commonly practiced airline boarding policies are ineffective and even detrimental.