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Boarding of Finite-Size Passengers to an Airplane

In: Traffic and Granular Flow '15

Author

Listed:
  • 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)

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 → ∞ .

Suggested Citation

  • Jevgenijs Kaupužs & Reinhard Mahnke & Hans Weber, 2016. "Boarding of Finite-Size Passengers to an Airplane," Springer Books, in: Victor L. Knoop & Winnie Daamen (ed.), Traffic and Granular Flow '15, pages 597-604, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-33482-0_75
    DOI: 10.1007/978-3-319-33482-0_75
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