A waiting line model meeting the assumptions of M/M/1 has an arrival rate of 2 per hour and a service rate of 4 per hour. What is the utilization factor for the system?
A) 0.25
B) 0.33
C) 0.50
D) 0.67
E) 2.00

Question

Quizplus · Accepted Answer

The utilization factor ($ρ$) for an M/M/1 queue is calculated as the arrival rate ($λ$) divided by the service rate ($μ$), i.e., $ρ = λ/μ$. Given $λ = 2$ per hour and $μ = 4$ per hour, $ρ = 2/4 = 0.5$.

A Waiting Line Model Meeting the Assumptions of M/M/1 Has