Nor'West News: June 23, 2022

Waimakariri
Hurunui
Thursday June 23 2022 5
Young mathematicians best in the world
• From page 1
“They took the approach of
mathematically modelling the
variables and the boarding
process, then wrote a complex
computer program in Python to
run simulations of the boarding
process over and over again.
“This enabled them to try different
boarding strategies and
see how they reacted to changing
variables like the disobedience
coefficient, passengers with
carry-on luggage, or groups,”
said Adams.
After running thousands of
trials and analysing the results,
the students were able to settle
on a strategy.
“This took them five full days,
including the time taken to
produce a professional and polished
report summarising their
process and findings.
“They did an incredible job.”
The students found three factors
contributed to the time taken
to board an aircraft, including
the walking speed of passengers,
the time taken to stow overhead
luggage with passengers blocking
the aisle while doing so, and passengers
getting out of their seats
to allow other passengers in the
same row.
After running 10,000 trials,
they found that the most optimal
order of boarding was aft, middle,
and front. Using this method
the mean time taken to fill up a
narrow-body airplane was
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SIMULATION: Team members Toby Harvie, Luke Zhu, Corin Simcock, and Tom Edwards
spent five days simulating different boarding and disembarking methods of narrow and
wide body aircraft, generating a randomised queue of passengers to determine the most
optimal method.
PHOTO: DEAN PURCELL/NZ HERALD
12 minutes and 48 seconds.
In comparison, it took on average
14 minutes and 30 seconds
to board using the front, middle,
and aft method.
They also tested boarding by
seat type, seating all passengers
with a window seat first, the
middle next, and aisle seats
last. The mean boarding time
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was 9 minutes and 49 seconds.
However, this was found to be
unworkable in practice due to
the separation of groups, particularly
in the case of children
and the elderly.
The random boarding method,
while seemly crude and inefficient,
was found to be reasonably
effective. It took passengers
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on average 11 minutes and 30
seconds to finish boarding the
plane.
When it came to exiting the
aircraft the optimal method for a
narrow-body aircraft was found
to be disembarking from back to
the front by row. It was found to
be the quickest due to having the
greatest aisle flow.
This is opposite to the “front to
back” boarding method, which
is employed by most airlines
and was found to be the slowest
disembarking method.
The best method of choice to
immediately speed up passengers
boarding and disembarking in
a standard narrow-body aircraft
was for passengers to be boarded
using the WMA method –
window seats board first,
followed by middle seats and
then aisle seats, but that groups
board together, minimising
aisle blockages and allowing
optimal aisle flow, and should
disembark giving the right
of way to passengers coming
from the back. Both methods
minimise aisle blockages, and
allow optimal aisle flow.
In a wide-body aircraft, they
found the optimal boarding
method was by section –
from back to front, while
disembarking using the “across”
method, similar to the method
for a narrow aircraft, where
passengers furthest from the
door get right of way.
Adams said: “The team’s creativity,
teamwork and mathematical
skill make them a standout
and it will be exciting to see
where they go to from here”.
The results of the study have
been collated in a 20-page report
and made available for airline
executives.
—NZ Herald
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