Drivers who come to get their licenses at the department of motor vehicles have their photograph taken by an automated machine that develops the photograph onto the license card and laminates the complete license
Drivers who come to get their licenses at the department of motor vehicles have their photograph taken by an automated machine that develops the photograph onto the license card and laminates the complete license. The machine requires a constant time of 4.5 minutes to develop a completed license. Drivers arrive at the machine at the mean rate of 11 per hour (Poisson distributed).determine the average length of the waiting line and the average waiting time.
a) Determine the average length of the queue (Rounded to four decimal places)
b) Determine the average waiting time in the system. (Rounded to four decimal places)
c) Consider the previous problem.
If service time was exponentially distributed with a mean of 4.5 minutes (instead of constant time), how many more minutes (compared to constant time queue) would a person have to spend in the system on the average?
