Question
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
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 12 minutes to land and clear the runway (following an exponential distribution). Planes arrive at the airport at the rate of one every 15 minutes. The arrival rate follows a Poisson distribution. A plane is considered to have entered the system once it has notified the airport that it is in the vicinity and wants to land. For purposes of this analysis, you can ignore the planes taking off.
a) There is a second airport in the immediate vicinity of the Peachtree airport which is currently closed. The FAA is considering re-opening this one as there would be no cost to do this and it believes it would improve customer service. However the cost per hour for the air traffic control operation is $2,500 per hour at this second airport. It would still take an airplane 12 minutes to land and clear the runway (following an exponential distribution). The Peachtree airport and this second airport would work as a multiple server system. What would be the cost of this multiple server operation?
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