In an infinite source model,the average time in line is equal to the average number of customers in line divided by the average arrival rate.

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Quizplus · Accepted Answer

This is a key formula in queueing theory, known as Little's Law, which applies to systems with Poisson arrival rates and service times that are exponentially distributed or constant. It states that the expected number of customers in a system (both in line and being served) is equal to the arrival rate times the expected time spent in the system. Therefore, if we divide both sides by the arrival rate, we get that the expected time in line is equal to the expected number in line divided by the arrival rate.

In an Infinite Source Model,the Average Time in Line Is