Aircrafts arrive at an airport according to an exponential distribution λ =40 minutes of time between arrivals. Upon arr

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Aircrafts arrive at an airport according to an exponential
distribution λ =40 minutes of time between arrivals. Upon arrival,
the planes would wait in the air for a signal from the control
tower before they are able to land. The airport has two runways,
one for landing and the other for taking off. Upon allocation of
the runway, the aircraft lands, the process of landing and clearing
the runway follows a Triangular distribution of TRIA (1, 3, 5)
minutes. The taxi time between the runways and the terminal gates
follows an Exponential distribution of λ = 10minutes. The
passengers and luggage unloading delay time from the aircraft,
follows an Exponential distribution of λ = 15minutes. From the
total number of all arriving flights at the airport, 20% go to
Terminals 1, Terminal 2 takes 30%, and Terminals 3 and 4 each take
25%. Each terminal has a capacity of 5 gates. Aircraft departures
also follow the Exponential distribution of λ =35 minutes. The
ratio of aircraft departure from each terminal is the same as
arrivals (i.e., T1: 20%, T2: 30%, T3: 25%, and T4: 25%). The
loading time for all departing aircrafts at each terminal follows
an Exponential distribution with λ = 35 minutes. The runway
maintenance team has to check for external objects on the runways
they therefore, conduct routine manual inspections on each Runway.
Due to safety guidelines both runways are closed during the
detection. The inspection and cleaning process takes place every
5.5 hours and follows a Normal distribution with mean of (μ=15) and
standard deviation of σ =3. The Meantime between failures follows
the wait rule.