For infinite source models,which of the following will equal the average time a customer is in the system?
I.Average number in the system divided by the arrival rate
II.Average number in the system multiplied by the arrival rate
III.Average time in line plus average service time
A) I only
B) II only
C) I and III
D) II and III
E) III only

Question

Quizplus · Accepted Answer

For infinite source models, Little's Law applies, which states that the average number in the system (including those in service and those waiting) is equal to the arrival rate multiplied by the average time in the system. Therefore, rearranging this formula, we get average time in the system equals average number in the system divided by the arrival rate. This results in option I being correct.

Additionally, the average time in line (waiting time) plus the average service time also gives us the average time a customer is in the system, so option III is also correct. Option II is not correct as it does not take into account the waiting time or service time.

For Infinite Source Models,which of the Following Will Equal the Average