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Impact of sequential disorder on the scaling behavior of airplane boarding time

Yongjoo Baek¹, Meesoon Ha^2,*, and Hawoong Jeong^3,4,†

¹Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 305-701, Korea
²Department of Physics Education, Chosun University, Gwangju 501-759, Korea
³Department of Physics and Institute for the BioCentury, Korea Advanced Institute of Science and Technology, Daejeon 305-701, Korea
⁴APCTP, Pohang, Gyeongbuk 790-784, Korea

^*Corresponding author: msha@chosun.ac.kr
^†hjeong@kaist.edu

Phys. Rev. E 87, 052803 – Published 16 May, 2013

DOI: https://doi.org/10.1103/PhysRevE.87.052803

Abstract

Airplane boarding process is an example where disorder properties of the system are relevant to the emergence of universality classes. Based on a simple model, we present a systematic analysis of finite-size effects in boarding time, and propose a comprehensive view of the role of sequential disorder in the scaling behavior of boarding time against the plane size. Using numerical simulations and mathematical arguments, we find how the scaling behavior depends on the number of seat columns and the range of sequential disorder. Our results show that new scaling exponents can arise as disorder is localized to varying extents.

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