Airplanes arrive at gate no. 12 of a busy airport. After being parked in the right position,
Question:
Airplanes arrive at gate no. 12 of a busy airport. After being parked in the right position, the passengers’ baggage gets unloaded by a team of baggage handlers. There is space for one airplane at the gate, and an unlimited space on the runaway for planes to wait for unloading. The arrival of planes follows a Poisson process with rate of 1 every hour. The unloading time of a plane is exponentially distributed, with rate proportional to the number of baggage handlers in the unloading crew. Each baggage handler can unload half of the plane in an hour. The manager has currently assigned 3 baggage handlers for unloading a plane.
The average number of planes waiting to be unloaded is (approximately)?
Introduction to Management Science A Modeling and Cases Studies Approach with Spreadsheets
ISBN: 978-0078024061
5th edition
Authors: Frederick S. Hillier, Mark S. Hillier