Consider a bank with one teller, an average arrival rate of six customers per hour, and an average service rate of eight customers per hour. Assume that the coefficient of variation of both the service time distribution and the arrival time distribution is 1.0. Calculate the utilization factor (u).

A.
2.25

B.
0.75

C.
2.00

D.
3.00

The utilization factor (u) is 75%, the right answer is B.

Explanation:

According to the given data, we have the following:

Arrival rate, a = 6 per hour

Service rate, s = 8 per hour

Therefore, in order to calculate the utilization factor (u), we would have to use the following formula:

Utilization, u = arrival rate/service rate

                  = 6/8

                  = 0.75

Hence, the utilization factor (u) is 75%

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