A waiting-line system that meets the assumptions of M/M/1 has λ = 1,μ = 4.For this system,Po is ________ and utilization is ________.
A)0.75;0.25
B)0.80;.20
C)-3;-4
D)3;4
E)none of the above

Question

Quizplus · Accepted Answer

Using the M/M/1 assumptions, we can find Po:
Po = 1 - (λ/μ)
Po = 1 - (1/4)
Po = 0.75
Using Po, we can find the utilization:
Utilization = λ/μ
Utilization = 1/4
Utilization = 0.25
Therefore, the correct answer is A)0.75;0.25.

A Waiting-Line System That Meets the Assumptions of M/M/1 Has