Dresden 2017 – wissenschaftliches Programm

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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 6: Poster

SOE 6.3: Poster

Montag, 20. März 2017, 17:00–20:00, P2-OG4

How long does it take to board an airplane? — •Reinhard Mahnke¹, Jevgenijs Kaupuzs², Eitan Bachmat³, and Vidar Frette⁴ — ¹Rostock University, Institute of Physics, D-18051 Rostock, Germany — ²Riga Technical University, LV–1048 Riga, Latvia — ³Ben–Gurion University, Beer-Sheva 84105, Israel — ⁴Stord/Haugesund College, N–5528 Haugesund, Norway

A simple airplane-boarding model, introduced earlier by Frette and Hemmer, is considered. In this model, N passengers have reserved seats, but enter the airplane in arbitrary order.

We are looking for an analytical expression, which describes the mean boarding time depending on the total number of passengers N. For this purpose, we first determine precise values of the exponents and expansion coefficients in the asymptotic expression at N → ∞. It is reached by mathematical calculations and fitting the Monte Carlo simulation data for very large N, up to N ∼ 6 · 10⁸.

Finally, we compare the obtained analytical approximation to the simulation data for a realistic number of passengers N 500 and find a good agreement.