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Boarding of Finite-Size Passengers to an Airplane
Institute of Mathematical Sciences and Information Technologies, University of Liepaja.
Institute of Physics, Rostock University.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Material Science.
Number of Authors: 3
2016 (English)In: Traffic and Granular Flow '15 / [ed] Victor L. Knoop, Winnie Daamen, Springer International Publishing , 2016, 597--604 p.Chapter in book (Refereed)
Abstract [en]

An airplane boarding model, introduced earlier by Hemmer and Frette, is considered. In this model, N passengers have reserved seats, but enter 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 q=i/N and r=j/N">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→∞">N→∞ N→∞ .

Place, publisher, year, edition, pages
Springer International Publishing , 2016. 597--604 p.
National Category
Other Physics Topics
Research subject
Tillämpad fysik
URN: urn:nbn:se:ltu:diva-61187DOI: 10.1007/978-3-319-33482-0_75ISBN: 978-3-319-33481-3ISBN: 978-3-319-33482-0OAI: diva2:1058545
Available from: 2016-12-21 Created: 2016-12-21 Last updated: 2016-12-21Bibliographically approved

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