Problem $5$: $(25)$

Given: The same airplane queuing system defined in Problem $4$ except that plane arrival time can be

characterized by the Normal distribution with mean interarrival time of $5$ minutes with a standard

deviation of $2$ minutes. Service time is uniformly distributed within the range of $3$ to $5$ minutes.

Find: Run a simulation of $100$ planes landing at this airport using the above parameters and calculate the

following performance characteristics of the queuing system based on your simulation results. Illustrate

the queueing process in a flow chart and your simulation results in a table using Excel.

$($a$)$ Maximum wait time,

$($b$)$ Average Wait Time

$($c$)$ The probability that a plane will be delayed for service $($in the queue$),$

$($d$)$ The average time each plane spends in the system.

$($e$)$ Total time for $100$ planes to be serviced at this airport.