Question

Steph runs a vehicle body repair shop with one mechanic in Cleveland. Repair time for vehicles is exponentially distributed, with a mean of 2.8 minutes per vehicle. Customers arrive at an average rate of 15 per hour following a Poisson distribution. NOTE: calculate the measures per hour. Calculate system utilization. (Round your answer to the nearest whole percent without the percent sign.) System Utilization =

Answer 1

System utilization = 0.7 or 70%

Explanation:

Given arrival rate of customer = 15 customer/Hour

Servie rate =
`(60)/(2.8) customer/Hour`

Now, use the below formula to find the system utilization.

System utilization =
`\frac{\text{ Arrival rate of customer }}{\text{ Servie rate}}`

System utilization =
`(15)/( (60)/(2.8))`

System utilization =
`(15)/( (60)/(2.8))`

System utilization = 0.7 or 70%