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.)

Answer 1

server utilization = 0.75

Step-by-step explanation:

given data

single phase automatic teller = 7.5 minutes

average rate = 1 every 10 minutes

solution

we get here Service rate that is

Service rate
`\mu` =
`(7.5)/(60)`

Service rate
`\mu` = 8 per hour

and here arrival rate will be

arrival rate
`\lambda` =
`(10)/(60)`

so here we get server utilization that is express as

server utilization =
`(\lambda )/(\mu)`

server utilization =
`(6)/(8)`

server utilization = 0.75