For a single server, single queue system with an arrival rate of 12 customers per hour and a service rate of 14 customers per hour, what is the mean server utilization (to two decimal places)?
A) 0.20
B) 0.86
C) 1.17
D) Cannot be determined from the information given

Question

Quizplus · Accepted Answer

The utilization rate is given by the ratio of the arrival rate to the service rate, i.e., ρ=λ/μ. In this case, ρ=12/14=0.86, or 86% utilization of the server. Therefore, the best choice is B.

For a Single Server, Single Queue System with an Arrival