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At the bank teller's window, arrivals and service times are randomly distributed (inter-arrival times and service times have exponential distributions). There is only one teller at the window. If the arrival rate is 'x' customers per hour, and the service rate is 15 customers per hour, what is the average waiting time for a customer in the system, including waiting in line and being served, for values of x = 2, 4, 6, 8, 10, 12, 14, 14.5, and 14.8? Also, what is the average utilization of the teller for each of those arrival rates? Give the answer in a table. (It is a single channel, single server, single phase, unlimited waiting space model - the M/M/I model).

Operation Management, Management Studies

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