The Peachtree Airport in Atlanta serves light aircraft. It hasa single runway and one air traffic controller to landplanes. It takes an airplane 8 minutes to land and clear therunway (exponentially distributed). Planes arrive at theairport at the rate of 5 per hour (Poisson distributed).a. Determine the average number of planes that will stackup waiting to land.b. Find the average time a plane must wait in line before itcan land.c. Calculate the average time it takes a plane to clear therunway once it has notified the airport that it is in thevicinity and wants to land.d. The FAA has a rule that an air traffic controller can, onthe average, land planes a maximum of 45 minutes outof every hour. There must be 15 minutes of idle timeavailable to relieve the tension. Will this airport have tohire an extra air traffic controller?
The Peachtree Airport in Atlanta serves light aircraft. It has
a single runway and one air traffic controller to land
planes. It takes an airplane 8 minutes to land and clear therunway (exponentially distributed). Planes arrive at the
airport at the rate of 5 per hour (Poisson distributed).
a. Determine the average number of planes that will stack
up waiting to land.
b. Find the average time a plane must wait in line before it
can land.
c. Calculate the average time it takes a plane to clear the
runway once it has notified the airport that it is in the
vicinity and wants to land.
d. The FAA has a rule that an air traffic controller can, on
the average, land planes a maximum of 45 minutes out
of every hour. There must be 15 minutes of idle time
available to relieve the tension. Will this airport have to
hire an extra air traffic controller?
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