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Queuing Theory

1. Star Savings and Loan is planning to install a drive-through window. Transaction times at the drive-through are expected to average three minutes because customers would use it for simpler transactions. The arrival rate is expected to be ten customers per hour.
a. Compute the operating characteristics for the drive-through window queuing system.
b. The demand for drive-through services is expected to increase over the next several years. If you were the bank manager, how high would you let the average arrival rate increase before considering adding a second drive-through window?

2. A college office has one photocopier. Faculty and staff arrive according to a Poisson process at a rate of 5 per hour. Copying times average 8 minutes according to an exponential distribution. What are the operating characteristics for this system?