Boarding of Finite-Size Passengers to an Airplane

Jevgenijs Kaupužs (), Reinhard Mahnke () and Hans Weber ()
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Jevgenijs Kaupužs: Institute of Mathematical Sciences and Information Technologies, University of Liepaja
Reinhard Mahnke: Institute of Physics, Rostock University
Hans Weber: Luleå University of Technology, Department of Physics

A chapter in Traffic and Granular Flow '15, 2016, pp 597-604 from Springer

Abstract: Abstract AnKaupužs, Jevgenijs airplane boarding model, introduced earlier by Hemmer and Frette, is considered. In this model, N passengersMahnke, Reinhard have reserved seats, but enterWeber, Hans the airplane in arbitrary order. Here we focus on the blocking relations between passengers. The total boarding time is equal to the longest blocking sequence, represented by a line, connecting points of the two-dimensional q versus r scatter plot. Here, $$q=i/N$$ q = i / N and $$r=j/N$$ r = j / N , i and j being sequential numbers of passengers in the queue and their seat numbers, respectively. Such blocking sequences have been studied theoretically by Bachmat. We have developed an algorithm for numerical simulation of the longest blocking sequences, and have compared the results with analytical predictions for $$N \rightarrow \infty $$ N → ∞ .

Keywords: Scaling Relation; Granular Flow; Blocking Sequence; Geodesic Line; Lorentz Geometry (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-33482-0_75

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DOI: 10.1007/978-3-319-33482-0_75

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