DPG Phi
Verhandlungen
Verhandlungen
DPG

Dresden 2017 – scientific programme

Parts | Days | Selection | Search | Updates | Downloads | Help

SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 6: Poster

SOE 6.3: Poster

Monday, March 20, 2017, 17:00–20:00, P2-OG4

How long does it take to board an airplane? — •Reinhard Mahnke1, Jevgenijs Kaupuzs2, Eitan Bachmat3, and Vidar Frette41Rostock 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.

100% | Mobile Layout | Deutsche Version | Contact/Imprint/Privacy
DPG-Physik > DPG-Verhandlungen > 2017 > Dresden