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? (Choose the closest answer. )
A)0.167
B)0.75
C)0.125
D)1.33

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? (Choose the closest answer. )
A)​0.167
B)​0.75
C)​0.125
D)​1.33

Quizplus · Accepted Answer

The server utilization can be calculated using the formula: 
Server utilization = (average service rate) / (arrival rate)
Here, average service rate = 1 / 7.5 (as the average transaction takes 7.5 minutes)
Arrival rate = 1 / 10 (as customers arrive at the average rate of one every ten minutes)
So, server utilization = (1/7.5) / (1/10) = 0.75
Therefore, the closest answer is (B) 0.75.

The Average Transaction at a Single Channel,single Phase Automatic Teller