Question: Delaware Bank is considering opening a drive through window for service. Management estimates that customers will arrive at the rate of 12 per hour. The

Delaware Bank is considering opening a drive through window for service. Management estimates that customers will arrive at the rate of 12 per hour. The teller who will staff the window can serve customers at the rate of one every four minutes. Because of limited space availability, the bank currently has three car spaces. Assume Poisson arrivals and exponentials service.

Find:

what is the average number of customers in the line?

what is the utilization of the teller? what is the average time for each customer spends in the system?

what is the present service level for the three cars limit?

what must be the service rate to assure 95% level of service with three cars limit?

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