A waiting line meeting the assumptions of M/M/1 has average time between arrivals of 20 minutes and services items in an average of 10 minutes each; the utilization factor 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) is calculated as the arrival rate (λ) divided by the service rate (μ). Here, λ = 1/20 per minute and μ = 1/10 per minute, so ρ = (1/20) / (1/10) = 0.50.

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