Question

The mean rate of arrival at an airport during the peak period is 20 planes per...

The mean rate of arrival at an airport during the peak period is 20 planes per hour. The actual number of arrivals number of arrivals in any hour follows a poisson distribution. The airport can land 60 planes per hour on average in good weather and 30 planes per hour in bad weather. The number landed planes in any hour follows an exponential distribution. When there is congestion, the plane that arrives first, lands first. There is only one landing track in the airport. How long a plane would take to complete all the landing process in bad weather? How long a plane would take to complete all the landing process in good weather? Give the result in minutes Round the result to 1 decimal.

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Answer #1

Given Information:

Mean Arrival rate: 20 planes per hour

Mean landing (service) rate in good weather: 60 planes per hour

Mean landing (service) rate: 30 planes per hour

Following formula can be used to calculate the complete landing process:

Ws = Expected to wait time in the system

Time to complete landing in bad weather:

Ws = 1/(30-20) = 0.1 hours = 6 minutes

Time to complete landing in good weather:

Ws = 1/(60-20) =0.025 hours = 1.5 minutes

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