00:03
Arrivals at the airport follow a poisson process with a rate of lambda equals 30 per hour.
00:13
Time to land an aircraft is normally distributed with a mean of 90 seconds and a standard aviation of 90 seconds.
00:21
And delayed aircraft burns 5 ,000 worth of fuel per hour on average.
00:25
Average.
00:26
Okay, so the average number of aircraft in queue for an mm1 queuing system, points and arrivals, exponential service time, that's going to be equal to lambda squared over mu times mu minus lambda.
00:48
And so that would be 30 squared over 90 times 90 minus 30 or 60.
01:00
And that equals, actually in this case, we're not using mu equals 90.
01:34
Mu would be equal to 3600 over 90, which is 40.
01:46
So it would be 40 times 40 minus 30, which is 10...