Airplanes anive at an airport area at an average rate of six per hour according to the Poisson distribution. The airport control tower processes airplanes in their order of arrival. Assuming that the service time is negative exponential'and that the service rate is ten landings per hour, calculate (1) the average number of airplanes in the system (i.e., being served and stacked), (2) the average number Of airplanes aW~ting clearance to land, (3) the average time spent in the system, and (4) the average time an airplane is in the queue.

Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter12: Forecasting Travel Demand
Section: Chapter Questions
Problem 17P
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Airplanes anive at an airport area at an average rate of six per hour according to the Poisson distribution. The airport control tower processes airplanes in their order of arrival. Assuming that the
service time is negative exponential'and that the service rate is ten landings per hour, calculate
(1) the average number of airplanes in the system (i.e., being served and stacked), (2) the average
number Of airplanes aW~ting clearance to land, (3) the average time spent in the system, and (4) the
average time an airplane is in the queue.

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