Abstract
We show how the process of passengers boarding an airplane and the process of optimal I/O scheduling to a disk drive with a linear seek function can be asymptotically modeled by 2-dimensional space-time geometry. We relate the space-time geometry of the models to important quantities such as total boarding time and total service time. We show that the efficiency of a boarding policy depends crucially on a parameter k which depends on the interior design of the airplane. Policies which are good for small values of k are bad for large values of k and vice versa.
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Bachmat, E., Berend, D., Sapir, L., Skiena, S. (2005). Airplane Boarding, Disk Scheduling and Space-Time Geometry. In: Megiddo, N., Xu, Y., Zhu, B. (eds) Algorithmic Applications in Management. AAIM 2005. Lecture Notes in Computer Science, vol 3521. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11496199_22
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DOI: https://doi.org/10.1007/11496199_22
Publisher Name: Springer, Berlin, Heidelberg
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