Which of the following will equal the average time that a customer is in the system?
I. The average number in the system divided by the arrival rate.
II. The average number in the system multiplied by the arrival rate.
III. The average time in line plus the average service time.
A) I only.
B) II only.
C) III only.
D) II and III only.
E) I and III only.

Question

Quizplus · Accepted Answer

I and III correctly describe how to calculate the average time a customer is in the system. I uses Little's Law, which states that the average number in the system (L) divided by the arrival rate (λ) equals the average time a customer spends in the system (W). III adds the average time a customer spends waiting in line (Wq) to the average service time (μ^-1), which also gives the total time spent in the system.

Which of the Following Will Equal the Average Time That