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Nogan Airport has three runways. The airport uses one runway to serve landing flights and two runways to serve departing flights. If used for departure, a runway can serve 10 flights per hour; if used for landing, a runway can serve 15 flights per hour. The time it takes a plane either to depart or to land is exponentially distributed.
On average, how much time elapses (in minutes) between a plane's radioing of the control tower and its eventual completion of the entire landing process in the morning?
The schedule of the flights in the afternoon is different. In the afternoon, the time between two successive departing requests is always 10 minutes. The time between two successive landing requests is exponentially distributed, with an average of 5 minutes. Assume that (i) the airport still uses one runway to serve landing flights and two runways to serve departing flights in the afternoon, and (ii) all flights (either departing or landing) have a delay cost of $300 per flight per hour.
In the afternoon, how much is the average delay cost (in $/flight) per landing flight?
How much total delay cost (all departing and landing flights combined) is incurred per hour?
How much total delay cost (all departing and landing flights combined) can we save per hour if we use one runway for departure and two runways for landing?
The schedule of the flights in the morning is described as follows. The time between two successive departing requests is always 5 minutes. The time between two successive landing requests is exponentially distributed, with an average of 10 minutes. When a landing flight approaches the airport, it radios the control tower and requests permission to land. The air traffic controller responds instantly by assigning the plane a position in queue on a first-come-first-serve basis.
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