Problem 2: Waiting to take-off a) At an airport, 125 planes took off during an 8-hour period. The control tower keeps a list on its computer of planes that it has released from the gates and that are waiting in queue to take off. Based on this information, the average number of planes waiting to take-off was 5, with the average taken over the same 8-hour period. How long did the average plane wait to take off? b) Suppose the air-traffic controller tells you that the next day there are 150 planes scheduled to take off (a 20% increase) during the same 8 hours of the day. He then predicts that there will be 6 planes waiting on average. How many would you predict were waiting on average: Circle one: about 6 planes less than 6 planes more than 6 planes? Assume that overall conditions (weather, number of runways open) are the same during the two days. Explain your reasoning. c) The airport authorities are worried about noise and pollution caused by the large queue of planes sitting waiting for the runway, engines running. They propose to the air traffic controllers that planes not be released from the gate unless the number of planes waiting for the runway is less than or equal to 1. Critique this suggestion.

Problem 2: Waiting to take-off a) At an airport, 125 planes took off during an 8-hour period. The control tower keeps a list on its computer of planes that it has released from the gates and that are waiting in queue to take off. Based on this information, the average number of planes waiting to take-off was 5, with the average taken over the same 8-hour period. How long did the average plane wait to take off? b) Suppose the air-traffic controller tells you that the next day there are 150 planes scheduled to take off (a 20% increase) during the same 8 hours of the day. He then predicts that there will be 6 planes waiting on average. How many would you predict were waiting on average: Circle one: about 6 planes less than 6 planes more than 6 planes? Assume that overall conditions (weather, number of runways open) are the same during the two days. Explain your reasoning. c) The airport authorities are worried about noise and pollution caused by the large queue of planes sitting waiting for the runway, engines running. They propose to the air traffic controllers that planes not be released from the gate unless the number of planes waiting for the runway is less than or equal to 1. Critique this suggestion.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 9P

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