Question

The average transaction at a single channel, single phase automatic teller can be completed in 7.5 minutes and customers arrive at the average rate of one every ten minutes. On average, what is the server utilization?

1) 0.167
2) 0.75
3) 0.125
4) 1.33

Answer 1

To find the server utilization, divide the arrival rate by the service rate. In this case, the server utilization is 0.75.

Step-by-step explanation:

To find the server utilization, we need to calculate the average service rate and the arrival rate. The average service rate is the inverse of the average transaction time, which is 1/7.5 minutes per transaction. The arrival rate is the inverse of the average time between arrivals, which is 1/10 customers per minute. To find the server utilization, we divide the arrival rate by the service rate: (1/10) / (1/7.5) = 0.75. Therefore, the server utilization is 0.75.