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We study airplane boarding in the limit of large number of passengers using geometric optics in a Lorentzian metric. The airplane boarding problem is naturally embedded in a 1+1 dimensional space-time with a flat Lorentzian metric. The…

Physics and Society · Physics 2020-12-22 Sveinung Erland , Jevgenijs Kaupužs , Vidar Frette , Rami Pugatch , Eitan Bachmat

Reducing the aircraft boarding time is a common problem not only for airlines, but also for passengers and airports. Group boarding is a popular boarding strategy that separates the passengers into several groups and those groups, which are…

Physics and Society · Physics 2021-09-29 Sakurako Tanida , Katsuhiro Nishinari

We show that airplane boarding can be asymptotically modeled by 2-dimensional Lorentzian geometry. Boarding time is given by the maximal proper time among curves in the model. Discrepancies between the model and simulation results are…

Physics and Society · Physics 2019-10-11 Eitan Bachmat , Daniel Berend , Luba Sapir , Steven Skiena , Natan Stolyarov

The long waiting time at airport security has become an emergent issue as demand for air travel continues to grow. Not only does queuing at security cause passengers to miss their flights, but also reduce the amount of time passengers spend…

Systems and Control · Electrical Eng. & Systems 2025-05-12 Shangqing Cao , Aparimit Kasliwal , Huangyi Zheng , Masoud Reihanifar , Francesc Robuste , Mark Hansen

We examine the speed of different boarding methods in a proposed Flying Wing aircraft design with four aisles using an agent-based model. We study the effect of various passenger movement variables on the boarding process. We evaluate the…

Physics and Society · Physics 2024-10-25 Emil Ryd , Vihaan Khandelwal , Hayden So , Jason H. Steffen

Using a Markov Chain Monte Carlo optimization algorithm and a computer simulation, I find the passenger ordering which minimizes the time required to board the passengers onto an airplane. The model that I employ assumes that the time that…

Physics and Society · Physics 2009-09-17 Jason H. Steffen

The timely handling of passengers is critical to efficient airport and airline operations. The pandemic requirements mandate adapted process designs and handling procedures to maintain and improve operational performance. Passenger…

Physics and Society · Physics 2022-07-20 Michael Schultz , Majid Soolaki , Mostafa Salari , Elnaz Bakhshian

Passengers board a fully booked airplane in order. The first passenger picks one of the seats at random. Each subsequent passenger takes his or her assigned seat if available, otherwise takes one of the remaining seats at random. It is well…

Probability · Mathematics 2018-09-28 Norbert Henze , Günter Last

Fish, birds, insects and robots frequently swim or fly in groups. During their 3 dimensional collective motion, these agents do not stop, they avoid collisions by strong short-range repulsion, and achieve group cohesion by weak long-range…

Soft Condensed Matter · Physics 2018-07-04 Illes J. Farkas , Shuo-Hong Wang

I present and discuss a model for the free-for-all passenger boarding which is employed by some discount air carriers. The model is based on the principles of statistical mechanics where each seat in the aircraft has an associated energy…

Physics and Society · Physics 2009-01-06 Jason H. Steffen

Group elevator scheduling is an NP-hard sequential decision-making problem with unbounded state spaces and substantial uncertainty. Decision-theoretic reasoning plays a surprisingly limited role in fielded systems. A new opportunity for…

Artificial Intelligence · Computer Science 2012-12-12 Daniel N. Nikovski , Matthew Brand

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…

Physics and Society · Physics 2013-05-21 Yongjoo Baek , Meesoon Ha , Hawoong Jeong

We analyze a boarding solution for a transport system in which the number of passengers allowed to enter a transport cabin is automatically controlled. Expressions charac- terizing the stochastic properties of the passenger queue length,…

Systems and Control · Computer Science 2018-09-10 Pasquale Grippa , Udo Schilcher , Christian Bettstetter

Due to the stochastic nature of departure operations, working at full capacity makes major US airports very sensitive to uncertainties. Consequently, airport ground operations face critically congested taxiways and long runway queues. In…

Other Computer Science · Computer Science 2008-07-08 Pierrick Burgain , Eric Feron , John-Paul Clarke

Time spent in processing zones at an airport are an important part of the passenger's airport experience. It undercuts the time spent in the rest of the airport, and therefore the revenue that could be generated from shopping and dining. It…

Other Computer Science · Computer Science 2015-08-21 Harold Nikoue , Aude Marzuoli , John-Paul Clarke , Eric Feron , Jim Peters

Gate holding reduces congestion by reducing the number of aircraft present on the airport surface at any time, while not starving the runway. Because some departing flights are held at gates, there is a possibility that arriving flights…

Other Computer Science · Computer Science 2021-11-19 Sang Hyun Kim , Eric Feron

This study investigates how the layout and density of seats in aircraft cabins influence the pricing of airline tickets on domestic flights. The analysis is based on microdata from boarding passes linked to face-to-face interviews with…

Systems and Control · Electrical Eng. & Systems 2025-12-10 Alessandro V. M. Oliveira , Moises D. Vassallo

We investigate a no-boarding policy in a system of $N$ buses serving $M$ bus stops in a loop, which is an entrainment mechanism to keep buses synchronised in a reasonably staggered configuration. Buses always allow alighting, but would…

Physics and Society · Physics 2020-04-30 Vee-Liem Saw , Lock Yue Chew

The cluster motion of busy multiple elevators is considered to be one of the synchronization phenomena of autonomous oscillators. In this study, we used numerical simulations to quantitatively explore differences in the elevators' dynamics…

Adaptation and Self-Organizing Systems · Physics 2022-09-28 Sakurako Tanida

Robustness is as important as efficiency in air transportation. All components in the air traffic system are connected to form an interactive network. So, a disturbance that occurs in one component, for example, a severe delay at an…

Other Computer Science · Computer Science 2021-11-19 Sang Hyun Kim , Eric Feron
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