Synopsis: Now Boarding All Rows

Using a simplified airplane seating arrangement, theorists have found that boarding time is less dependent on the number of passengers than one might expect.

The next time you are getting ready to board an airplane you might want to time how long it takes to get to your seat. Two Norwegian researchers, reporting in Physical Review E, have calculated how the average boarding time depends on the number of passengers. Their results call into question the practice of dividing passengers into groups that board separately.

For many airlines, passengers have specific seat assignments, which drastically increases the number of initial configurations modelers have to consider. Scientists have typically turned to computer simulations in order to study the dynamics of airplane boarding, but these analyses do not explicitly show how the parameters are related.

Vidar Frette of Stord/Haugesund College and Per Hemmer of the Norwegian University of Science and Technology have calculated the boarding time analytically in terms of the passenger count. Their simple model assumes that each row on the airplane has only one seat, and passengers file in randomly. When someone reaches his or her seat, everyone in the aisle behind has to wait while this passenger gets settled.

Naively, boarding time should vary linearly with the number of passengers, such that twice the passenger count should take twice the time. However, more passengers increases the chance that some people will fortuitously line up in a time-saving order. Frette and Hemmer’s calculations show that twice the passengers only takes 1.6 times longer. This suggests that letting, for example, rows 16 through 30 go before rows 1 through 15 may prolong boarding times. – Michael Schirber


More Features »


More Announcements »

Subject Areas

Nonlinear Dynamics

Previous Synopsis

Next Synopsis

Quantum Information

Neither Here Nor There

Read More »

Related Articles

Viewpoint: Searching for Order in Turbulent Flow
Fluid Dynamics

Viewpoint: Searching for Order in Turbulent Flow

The observation of ordered flow patterns in a weakly turbulent liquid may lead to new ways of predicting the evolution of turbulent flow. Read More »

Synopsis: Why the Darknet is Robust
Complex Systems

Synopsis: Why the Darknet is Robust

Network theory explains why an unsearchable portion of the Internet used for anonymous exchanges is particularly resistant to failures and attacks. Read More »

Viewpoint: Reservoir Computing Speeds Up
Nonlinear Dynamics

Viewpoint: Reservoir Computing Speeds Up

A brain-inspired computer made with optoelectronic parts runs faster thanks to a hardware redesign, recognizing simple speech at the rate of 1 million words per second. Read More »

More Articles