Western National Bank is considering opening a drive-through window for customer service. Management estimates that customers will arrive at the rate of 15 per hour. The teller who will staff the window can service customers at the rate of one every three minutes.
Part 1 Assuming Poisson arrivals and exponential service, find:
Utilization of the teller
Average number in line
Average number in system
Average waiting time in line
Average waiting time in system, including service
Also calculate the probability of not more than three cars making it through the queue and a 95% service level expectation. Determine the actual service level and what can be done to improve it.
