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Airplane Boarding, Disk Scheduling, and Lorentzian Geometry

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Abstract

We provide a detailed analysis of the airplane boarding process and evaluate various boarding policies using Lorentzian geometry. We also analyze several related problems such as I/O disk scheduling. Boarding policies which we analyze include, random, back-to-front, outside-in, no overhead bin luggage first among others. We also show that the motion of the earth around the sun may be viewed as being uniformly random.

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  1. Department of Computer Science, Ben-Gurion University, Beer Sheva, Israel

    Eitan Bachmat

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Bachmat, E. (2014). Airplane Boarding, Disk Scheduling, and Lorentzian Geometry. In: Mathematical Adventures in Performance Analysis. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-09513-4_3

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