A waiting line model meeting the assumptions of M/M/1 has an arrival rate of 2 per hour and a service rate of 6 per hour; the utilization factor for the system is approximately
A) 0.25
B) 0.33
C) 0.50
D) 0.67
E) 3.00

Question

Quizplus · Accepted Answer

The utilization factor ($ρ$) in 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 $μ = 6$ per hour, $ρ = 2/6 = 0.33$.

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